tag:blogger.com,1999:blog-79898363146798696512024-02-08T10:15:42.432-08:00Mathematics Year 4 - Shape and SpaceAnonymoushttp://www.blogger.com/profile/10763096938676488866noreply@blogger.comBlogger15125tag:blogger.com,1999:blog-7989836314679869651.post-67992106183693648842012-12-13T07:34:00.000-08:002012-12-13T07:34:54.544-08:00VOLUME OF A CUBE<img alt="http://0.tqn.com/d/math/1/0/6/F/cubevolume.gif" class="decoded" height="216" src="http://0.tqn.com/d/math/1/0/6/F/cubevolume.gif" width="400" />Anonymoushttp://www.blogger.com/profile/10763096938676488866noreply@blogger.com1tag:blogger.com,1999:blog-7989836314679869651.post-40395995421380591202012-12-13T07:32:00.001-08:002012-12-13T07:32:14.863-08:00TRY THIS EXERCISES.......HAVE FUN....JUST CLICK TO THIS LINK BELOW AND TRY THE EXERCISES.......HAVE FUN...<br />
<a href="http://worksheets.tutorvista.com/surface-area-and-volume-worksheet.html" target="_blank">http://worksheets.tutorvista.com/surface-area-and-volume-worksheet.html</a><br />
Anonymoushttp://www.blogger.com/profile/10763096938676488866noreply@blogger.com0tag:blogger.com,1999:blog-7989836314679869651.post-44261638044746168062012-12-13T06:32:00.000-08:002012-12-13T06:32:32.948-08:00Area of a Rectangle<div style="text-align: left;">
<strong><span style="font-size: large;">Area of a
Rectangle</span></strong><strong><span style="font-size: large;"> </span></strong><img border="0" height="78" src="http://www.mathgoodies.com/lessons/vol1/images/perimeter_area_logo2.jpg" width="199" /></div>
<table border="0" cellpadding="2" cellspacing="2" style="width: 95%px;"><tbody>
<tr><td align="left" nowrap="nowrap" valign="top"><strong></strong><br /></td>
<td align="right" valign="top"><strong><span style="font-size: large;"></span></strong><br /></td>
</tr>
</tbody></table>
<table border="0" cellpadding="2" cellspacing="2" style="width: 95%px;"><tbody>
<tr>
<td colspan="2" valign="top">
The area of a
<a href="http://www.blogger.com/blogger.g?blogID=7989836314679869651">polygon</a>
is the number of square units inside the polygon. To understand the difference between
<a href="http://www.blogger.com/blogger.g?blogID=7989836314679869651">perimeter</a>
and area, think of perimeter as the length of fence needed to enclose the yard, whereas area is the space
<i>inside</i> the yard. Perimeter is 1-dimensional and is measured in linear units such as inches, feet or meters.
Area is 2-dimensional: it has a length and a width. Area is measured in square units such as square inches,
square feet or square meters.
</td>
<td align="center" valign="TOP">
<img alt="[IMAGE]" border="0" height="100" src="http://www.mathgoodies.com/lessons/vol1/images/fence_area.gif" width="100" />
</td>
</tr>
<tr><td colspan="3"><img alt=" " border="0" height="5" src="http://www.mathgoodies.com/lessons/vol1/images/tab.gif" width="10" /></td></tr>
<tr>
<td colspan="2" valign="top">
To find the area of a
<a href="http://www.blogger.com/blogger.g?blogID=7989836314679869651">rectangle</a>,
multiply the length by the width. The formula is:
</td>
<td align="center" rowspan="2" valign="top">
<img alt="[IMAGE]" border="0" height="41" src="http://www.mathgoodies.com/lessons/vol1/images/rectangle_definition.gif" width="95" />
</td>
</tr>
<tr>
<td colspan="2" valign="top"><img alt="A = L x W" border="0" height="12" src="http://www.mathgoodies.com/lessons/vol1/images/area_rectangle_form.gif" width="64" />,
where <img alt="A" border="0" height="12" src="http://www.mathgoodies.com/lessons/vol1/images/A.gif" width="13" /> is the area,
<img alt="L" border="0" height="12" src="http://www.mathgoodies.com/lessons/vol1/images/L.gif" width="12" /> is the length,
<img alt="W" border="0" height="12" src="http://www.mathgoodies.com/lessons/vol1/images/W.gif" width="19" /> is the width,
and <strong>·</strong> means multiply.
</td>
</tr>
<tr><td colspan="2"><img alt=" " border="0" height="7" src="http://www.mathgoodies.com/lessons/vol1/images/tab.gif" width="10" /></td></tr>
<tr>
<td colspan="2" valign="top">
A <strong>square</strong> is a rectangle with 4 equal sides.
To find the area of a square, multiply the length of one side by itself. The formula is:
</td>
<td align="center" rowspan="2" valign="top">
<img alt="[IMAGE]" border="0" height="49" src="http://www.mathgoodies.com/lessons/vol1/images/square_definition.gif" width="40" />
</td>
</tr>
<tr>
<td colspan="2" valign="top">
<img alt="A = s squared" border="0" height="15" src="http://www.mathgoodies.com/lessons/vol1/images/area_square_form1.gif" width="44" /> or <img alt="A = s x s" border="0" height="12" src="http://www.mathgoodies.com/lessons/vol1/images/area_square_form2.gif" width="55" />,
where A is the area, s is the length of a side, and <strong>·</strong> means multiply.
</td>
</tr>
<tr><td colspan="3"><img alt=" " border="0" height="2" src="http://www.mathgoodies.com/lessons/vol1/images/tab.gif" width="6" /></td></tr>
<tr><td align="left" colspan="3">
Let's look at some examples of finding the area of rectangles.
</td></tr>
<tr><td colspan="3"><img alt=" " border="0" height="2" src="http://www.mathgoodies.com/lessons/vol1/images/tab.gif" width="6" /></td></tr>
<tr><td colspan="3"><hr />
</td></tr>
<tr>
<td nowrap="nowrap" valign="top">
Example 1:
</td>
<td valign="top">
Find the area of a square with each side measuring 2 inches.
</td>
<td align="center" rowspan="3" valign="TOP">
<img alt="[IMAGE]" border="0" height="40" src="http://www.mathgoodies.com/lessons/vol1/images/square_2X2.gif" width="62" />
</td>
</tr>
<tr>
<td nowrap="nowrap" valign="top">
Solution:
</td>
<td valign="top">
<img alt="A = s x s" border="0" height="12" src="http://www.mathgoodies.com/lessons/vol1/images/area_square_form2.gif" width="55" />
</td>
</tr>
<tr>
<td nowrap="nowrap" valign="top">
<img alt=" " border="0" height="1" src="http://www.mathgoodies.com/lessons/vol1/images/tab.gif" width="8" />
</td>
<td valign="top">
<img alt="A" border="0" height="12" src="http://www.mathgoodies.com/lessons/vol1/images/A.gif" width="13" /> = (2 in) <strong>·</strong> (2 in) = 4 in<sup>2</sup>
</td>
</tr>
<tr><td colspan="3"><hr />
</td></tr>
<tr>
<td nowrap="nowrap" valign="top">
Example 2:
</td>
<td valign="top">
A rectangle has a length of 8 centimeters and a width of 3 centimeters. Find the area.
</td>
<td align="center" rowspan="3" valign="TOP">
<img alt="[IMAGE]" border="0" height="41" src="http://www.mathgoodies.com/lessons/vol1/images/rectangle_8x3.gif" width="110" />
</td>
</tr>
<tr>
<td nowrap="nowrap" valign="top">
Solution:
</td>
<td valign="top">
<img alt="A = L x W" border="0" height="12" src="http://www.mathgoodies.com/lessons/vol1/images/area_rectangle_form.gif" width="64" />
</td>
</tr>
<tr>
<td valign="top">
<img alt=" " border="0" height="1" src="http://www.mathgoodies.com/lessons/vol1/images/tab.gif" width="8" />
</td>
<td valign="top">
<img alt="A" border="0" height="12" src="http://www.mathgoodies.com/lessons/vol1/images/A.gif" width="13" /> = (8 cm) <strong>·</strong> (3 cm) = 24 cm<sup>2</sup>
</td>
</tr>
<tr><td colspan="3"><img alt=" " border="0" height="2" src="http://www.mathgoodies.com/lessons/vol1/images/tab.gif" width="6" /></td></tr>
<tr><td colspan="3"><hr />
</td></tr>
<tr><td colspan="3">In Examples 1 and 2, we found the area given the dimensions
of the rectangle. Let's look at some examples in which we are given the area of the rectangle,
and are asked to work backwards to find the missing dimension.</td></tr>
<tr><td colspan="3"><img alt=" " border="0" height="2" src="http://www.mathgoodies.com/lessons/vol1/images/tab.gif" width="6" /></td></tr>
<tr><td colspan="3"><hr />
</td></tr>
<tr>
<td nowrap="nowrap" valign="top">
Example 3:
</td>
<td valign="top">
The area of a square is 9 square centimeters. How long is one side?
</td>
<td align="center" rowspan="5" valign="TOP">
<img alt="[IMAGE]" border="0" height="72" src="http://www.mathgoodies.com/lessons/vol1/images/square_3x3.gif" width="60" />
</td>
</tr>
<tr>
<td nowrap="nowrap" valign="top">
Solution:
</td>
<td valign="top">
<img alt="A = s x s" border="0" height="12" src="http://www.mathgoodies.com/lessons/vol1/images/area_square_form2.gif" width="55" />
</td>
</tr>
<tr>
<td valign="top">
<img alt=" " border="0" height="1" src="http://www.mathgoodies.com/lessons/vol1/images/tab.gif" width="8" />
</td>
<td valign="top">
9 cm<sup>2</sup> = <img alt="s" border="0" height="9" src="http://www.mathgoodies.com/lessons/vol1/images/s.gif" width="11" /> <strong>·</strong> <img alt="s" border="0" height="9" src="http://www.mathgoodies.com/lessons/vol1/images/s.gif" width="11" />
</td>
</tr>
<tr>
<td valign="top">
<img alt=" " border="0" height="1" src="http://www.mathgoodies.com/lessons/vol1/images/tab.gif" width="8" />
</td>
<td valign="top">
Since 3 <strong>·</strong> 3 = 9, we get 3 cm <strong>·</strong> 3 cm = 9 cm<sup>2</sup>.
So <img alt="s" border="0" height="9" src="http://www.mathgoodies.com/lessons/vol1/images/s.gif" width="11" /> must equal 3 cm.
</td>
</tr>
<tr>
<td valign="top">
<img alt=" " border="0" height="1" src="http://www.mathgoodies.com/lessons/vol1/images/tab.gif" width="8" />
</td>
<td valign="top">
<img alt="s" border="0" height="9" src="http://www.mathgoodies.com/lessons/vol1/images/s.gif" width="11" /> = 3 cm
</td>
</tr>
<tr><td colspan="3"><hr />
</td></tr>
<tr>
<td nowrap="nowrap" valign="top">
Example 4:
</td>
<td valign="top">
The area of a rectangle is 12 square inches and the width is 3 inches. What is the length?
</td>
<td align="center" rowspan="5" valign="TOP">
<img alt="[IMAGE]" border="0" height="72" src="http://www.mathgoodies.com/lessons/vol1/images/rectangle_4x3.gif" width="102" />
</td>
</tr>
<tr>
<td nowrap="nowrap" valign="top">
Solution:
</td>
<td valign="top">
<img alt="A = L x W" border="0" height="12" src="http://www.mathgoodies.com/lessons/vol1/images/area_rectangle_form.gif" width="64" />
</td>
</tr>
<tr>
<td valign="top">
<img alt=" " border="0" height="1" src="http://www.mathgoodies.com/lessons/vol1/images/tab.gif" width="8" />
</td>
<td valign="top">
12 in<sup>2</sup> = <img alt="L" border="0" height="12" src="http://www.mathgoodies.com/lessons/vol1/images/L.gif" width="12" /> <strong>·</strong> 3 in
</td>
</tr>
<tr>
<td valign="top">
<img alt=" " border="0" height="1" src="http://www.mathgoodies.com/lessons/vol1/images/tab.gif" width="8" />
</td>
<td valign="top">
Since 4 <strong>·</strong> 3 = 12, we get (4 in) <strong>·</strong> (3 in) = 12 in<sup>2</sup>.
So <img alt="L" border="0" height="12" src="http://www.mathgoodies.com/lessons/vol1/images/L.gif" width="12" /> must equal 4 in.
</td>
</tr>
<tr>
<td valign="top">
<img alt=" " border="0" height="1" src="http://www.mathgoodies.com/lessons/vol1/images/tab.gif" width="8" />
</td>
<td valign="top">
<img alt="L" border="0" height="12" src="http://www.mathgoodies.com/lessons/vol1/images/L.gif" width="12" /> = 4 in
</td>
</tr>
<tr><td colspan="3"><img alt=" " border="0" height="2" src="http://www.mathgoodies.com/lessons/vol1/images/tab.gif" width="6" /></td></tr>
<tr><td colspan="3"><hr />
</td></tr>
<tr>
<td nowrap="nowrap" valign="top">Summary:</td>
<td valign="top">
The dimensions of a rectangle are length and width.
Given the length and width of a rectangle, we can find the area. Given the area
and one dimension of a rectangle, we can find the other dimension. The formula
for area of a rectangle is:
</td>
<td align="center" rowspan="2" valign="top">
<img alt="[IMAGE]" border="0" height="41" src="http://www.mathgoodies.com/lessons/vol1/images/rectangle_definition.gif" width="95" />
</td>
</tr>
<tr>
<td valign="top"> </td>
<td valign="top">
<img alt="A = L x W" border="0" height="12" src="http://www.mathgoodies.com/lessons/vol1/images/area_rectangle_form.gif" width="64" /> where
<img alt="L" border="0" height="12" src="http://www.mathgoodies.com/lessons/vol1/images/L.gif" width="12" /> is the length and
<img alt="W" border="0" height="12" src="http://www.mathgoodies.com/lessons/vol1/images/W.gif" width="19" /> is the width.
</td>
</tr>
<tr><td colspan="3"><img alt=" " border="0" height="2" src="http://www.mathgoodies.com/lessons/vol1/images/tab.gif" width="8" /></td></tr>
<tr>
<td valign="top"> </td>
<td valign="top">
A square is a rectangle with 4 equal sides The formula for area of a square is:
</td>
<td align="center" rowspan="2" valign="top">
<img alt="[IMAGE]" border="0" height="49" src="http://www.mathgoodies.com/lessons/vol1/images/square_definition.gif" width="40" />
</td>
</tr>
<tr>
<td nowrap="nowrap" valign="top"><br /></td>
<td valign="top">
<img alt="A = s squared" border="0" height="15" src="http://www.mathgoodies.com/lessons/vol1/images/area_square_form1.gif" width="44" /> or <img alt="A = s x s" border="0" height="12" src="http://www.mathgoodies.com/lessons/vol1/images/area_square_form2.gif" width="55" />
where
<img alt="s" border="0" height="9" src="http://www.mathgoodies.com/lessons/vol1/images/s.gif" width="11" /> is the length of one side.
</td></tr>
</tbody></table>
Anonymoushttp://www.blogger.com/profile/10763096938676488866noreply@blogger.com0tag:blogger.com,1999:blog-7989836314679869651.post-23084218869118494262012-12-01T06:33:00.000-08:002012-12-01T06:33:20.867-08:002 D and 3 D SHAPES<div class="separator" style="clear: both; text-align: center;">
<a href="http://clc2.uniservity.com/GroupDownloadAttachment.asp?GroupId=295772&AttachmentID=13317" imageanchor="1" style="margin-left:1em; margin-right:1em"><img border="0" height="585" width="400" src="http://clc2.uniservity.com/GroupDownloadAttachment.asp?GroupId=295772&AttachmentID=13317" /></a></div>
Anonymoushttp://www.blogger.com/profile/10763096938676488866noreply@blogger.com0tag:blogger.com,1999:blog-7989836314679869651.post-88818645768003848272012-12-01T06:27:00.000-08:002012-12-01T06:27:16.350-08:003 D SHAPES<div class="separator" style="clear: both; text-align: center;">
<a href="http://www.sciencebuddies.org/science-fair-projects/project_ideas/Math_img080a.jpg" imageanchor="1" style="margin-left:1em; margin-right:1em"><img border="0" height="314" width="573" src="http://www.sciencebuddies.org/science-fair-projects/project_ideas/Math_img080a.jpg" /></a></div>
Anonymoushttp://www.blogger.com/profile/10763096938676488866noreply@blogger.com0tag:blogger.com,1999:blog-7989836314679869651.post-4469732784277484712012-12-01T05:59:00.000-08:002012-12-01T05:59:53.788-08:00More about shapes...Let's Watch<iframe width="420" height="315" src="http://www.youtube.com/embed/8mHJ6TbTGvg" frameborder="0" allowfullscreen></iframe>Anonymoushttp://www.blogger.com/profile/10763096938676488866noreply@blogger.com2tag:blogger.com,1999:blog-7989836314679869651.post-60469984625516318632012-11-22T15:24:00.001-08:002012-11-22T15:24:49.304-08:00IF YOU FIND THE AREA........LETS WATCH....<iframe width="420" height="315" src="http://www.youtube.com/embed/3KNM9Uv-C5g" frameborder="0" allowfullscreen></iframe>Anonymoushttp://www.blogger.com/profile/10763096938676488866noreply@blogger.com13tag:blogger.com,1999:blog-7989836314679869651.post-31194325496334229222012-11-22T15:17:00.003-08:002012-11-22T15:17:55.940-08:00MORE ABOUT AREA AND PERIMETER<span id="goog_2009365310"></span><span id="goog_2009365311"></span><a href="http://www.blogger.com/"></a><a href="http://www.bgfl.org/custom/resources_ftp/client_ftp/ks2/maths/perimeter_and_area/index.html" target="_blank">http://www.bgfl.org/custom/resources_ftp/client_ftp/ks2/maths/perimeter_and_area/index.html</a>Anonymoushttp://www.blogger.com/profile/10763096938676488866noreply@blogger.com1tag:blogger.com,1999:blog-7989836314679869651.post-17142647626526943292012-11-22T15:13:00.000-08:002012-11-22T15:13:13.192-08:00AREA<br />
<h3 style="background-color: #f0f0ff; color: #6600cc; font-family: Verdana, sans-serif; font-size: larger; font-weight: bolder; margin: -8px 0px 0px -8px; padding: 4px 4px 18px 15px;">
<table border="0" style="font-family: 'Times New Roman'; width: 100%px;"><tbody>
<tr><td colspan="2" valign="TOP" width="100%"><h3 style="color: #fb0000; font-size: 16pt; font-weight: normal;">
Area of a Square</h3>
<img alt="1 square centimetre" height="46" src="http://www.mathsteacher.com.au/year7/ch13_area/02_calc/Image11424.gif" width="82" /><br />
The area of a square that has a side-length of 1 cm is 1 square centimetre (or 1 cm<sup>2</sup>). To find the area of a square by the method of counting squares, we divide the square into smaller squares of one centimetre side-length .<br />
Consider a square that has a side-length of 4 cm.<br />
<img alt="4 rows of 4 squares" height="130" src="http://www.mathsteacher.com.au/year7/ch13_area/02_calc/Image11425.gif" width="178" /><br />
Using the method of counting squares, we find that the area of the square is 16 cm<sup>2</sup>.<br />
Clearly, the square contains 4 rows of 4 squares. Therefore:<br />
<img alt="Area equals 16 square centimetres" height="37" src="http://www.mathsteacher.com.au/year7/ch13_area/02_calc/Image11426.gif" width="130" /><br />
<h6 style="color: #000099; font-size: 12pt;">
<br />This suggests that:</h6>
The area of a square is equal to its side-length multiplied by its side-length. That is:<br />
<img alt="Area equals length squared" height="41" src="http://www.mathsteacher.com.au/year7/ch13_area/02_calc/Image11427.gif" width="159" /><br />
<br /><a href="" name="formulaareasquare"></a>Using the pronumerals <i><span style="color: blue;">A</span></i> for area and <i><span style="color: blue;">s</span></i> for side-length, we can write it simply as:<br />
<img alt="Area equals s squared" height="16" src="http://www.mathsteacher.com.au/year7/ch13_area/02_calc/Image11428.gif" width="70" /><br />
This is the <b>formula </b>for the area of a square.<br />
<h4 style="color: #0000fb; font-size: 14pt; font-weight: normal;">
<br />Example 1</h4>
Find the area of a square flower-bed of side 15 m.<br />
<h5 style="color: #0000fb; font-size: 14pt; font-style: italic; font-weight: normal;">
Solution:</h5>
</td></tr>
<tr><td valign="TOP" width="50%"><img alt="Area is 225 square metres" height="100" src="http://www.mathsteacher.com.au/year7/ch13_area/02_calc/Image11429.gif" width="147" /></td><td valign="TOP" width="50%"><img alt="Square of side-length 15 m" height="118" src="http://www.mathsteacher.com.au/year7/ch13_area/02_calc/Image11430.gif" width="112" /></td></tr>
<tr><td colspan="2" valign="TOP" width="100%"><h6 style="color: #000099; font-size: 12pt;">
<br />Note:</h6>
To find the area of a region enclosed within a <a href="http://www.mathsteacher.com.au/year7/ch09_polygons/01_triangle/tri.htm">plane figure</a>, draw a diagram and write an appropriate <a href="http://www.mathsteacher.com.au/year7/ch12_length/05_perim/perim.htm#formula">formula</a>. Then substitute the given values and use a calculator, if necessary, to obtain the required area.</td></tr>
</tbody></table>
</h3>
Anonymoushttp://www.blogger.com/profile/10763096938676488866noreply@blogger.com3tag:blogger.com,1999:blog-7989836314679869651.post-1900132166174393352012-11-22T14:39:00.003-08:002012-11-22T14:39:19.406-08:00<table border="0" cellpadding="2" cellspacing="2" style="background-color: white; font-family: Arial, Helvetica, sans-serif; width: 95%px;"><tbody>
<tr><td align="left" nowrap="" style="font-size: 14px;" valign="top"><strong><span style="font-size: large;">Perimeter</span></strong></td><td align="center" style="font-size: 14px;" valign="top"><img border="0" height="78" src="http://www.mathgoodies.com/lessons/vol1/images/perimeter_area_logo2.jpg" width="199" /></td><td align="right" style="font-size: 14px;" valign="top"><br /></td></tr>
</tbody></table>
<br style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 14px;" /><table border="0" cellpadding="2" cellspacing="2" style="background-color: white; font-family: Arial, Helvetica, sans-serif; width: 95%px;"><tbody>
<tr><td colspan="3" style="font-size: 14px;"><hr />
</td></tr>
<tr><td align="left" colspan="3" style="font-size: 14px;">A square and an equilateral triangle are both examples of <a href="http://www.blogger.com/blogger.g?blogID=7989836314679869651">regular polygons</a>. Another method for finding the perimeter of a regular polygon is to multiply the number of sides by the length of one side. Let's revisit Examples 3 and 4 using this second method.</td></tr>
<tr><td colspan="3" style="font-size: 14px;"><img alt=" " border="0" height="2" src="http://www.mathgoodies.com/lessons/vol1/images/tab.gif" width="6" /></td></tr>
<tr><td colspan="3" style="font-size: 14px;"><hr />
</td></tr>
<tr><td nowrap="" style="font-size: 14px;" valign="top">Example 3:</td><td style="font-size: 14px;" valign="top">Find the perimeter of a square with each side measuring 2 inches.</td><td align="center" rowspan="2" style="font-size: 14px;" valign="TOP"><img alt="[IMAGE]" border="0" height="40" src="http://www.mathgoodies.com/lessons/vol1/images/square_2X2.gif" width="62" /></td></tr>
<tr><td nowrap="" style="font-size: 14px;" valign="top">Solution:</td><td style="font-size: 14px;" valign="top">This regular polygon has 4 sides, each with a length of 2 inches. Thus we get:</td></tr>
<tr><td style="font-size: 14px;" valign="top"> </td><td colspan="2" style="font-size: 14px;" valign="top"><img alt="P" border="0" height="12" src="http://www.mathgoodies.com/lessons/vol1/images/p.gif" width="14" /> = 4(2 in) = 8 in</td></tr>
<tr><td colspan="3" style="font-size: 14px;"><hr />
</td></tr>
<tr><td nowrap="" style="font-size: 14px;" valign="top">Example 4:</td><td style="font-size: 14px;" valign="top">Find the perimeter of an equilateral triangle with each side measuring 4 centimeters.</td><td align="center" rowspan="2" style="font-size: 14px;" valign="TOP"><img alt="[IMAGE]" border="0" height="51" src="http://www.mathgoodies.com/lessons/vol1/images/equilateral_triangle.gif" width="45" /></td></tr>
<tr><td nowrap="" style="font-size: 14px;" valign="top">Solution:</td><td style="font-size: 14px;" valign="top">This regular polygon has 3 sides, each with a length of 4 centimeters. Thus we get:</td></tr>
<tr><td style="font-size: 14px;" valign="top"> </td><td colspan="2" style="font-size: 14px;" valign="top"><img alt="P" border="0" height="12" src="http://www.mathgoodies.com/lessons/vol1/images/p.gif" width="14" /> = 3(4 cm) = 12 cm</td></tr>
<tr><td colspan="3" style="font-size: 14px;"><hr />
</td></tr>
<tr><td nowrap="" style="font-size: 14px;" valign="top">Example 5:</td><td style="font-size: 14px;" valign="top">Find the perimeter of a <a href="http://www.blogger.com/blogger.g?blogID=7989836314679869651">regular pentagon</a> with each side measuring 3 inches.</td><td align="center" rowspan="2" style="font-size: 14px;" valign="TOP"><img alt="[IMAGE]" border="0" height="58" src="http://www.mathgoodies.com/lessons/vol1/images/pentagon.gif" width="50" /></td></tr>
<tr><td nowrap="" style="font-size: 14px;" valign="top">Solution:</td><td style="font-size: 14px;" valign="top"><img alt="P" border="0" height="12" src="http://www.mathgoodies.com/lessons/vol1/images/p.gif" width="14" /> = 5(3 in) = 15 in</td></tr>
<tr><td colspan="3" style="font-size: 14px;"><hr />
</td></tr>
<tr><td nowrap="" style="font-size: 14px;" valign="top">Example 6:</td><td style="font-size: 14px;" valign="top">The perimeter of a <a href="http://www.blogger.com/blogger.g?blogID=7989836314679869651">regular hexagon</a> is 18 centimeters. How long is one side?</td><td align="center" rowspan="3" style="font-size: 14px;" valign="TOP"><img alt="[IMAGE]" border="0" height="62" src="http://www.mathgoodies.com/lessons/vol1/images/regular_hexagon.gif" width="57" /></td></tr>
<tr><td nowrap="" style="font-size: 14px;" valign="top">Solution:</td><td style="font-size: 14px;" valign="top"><img alt="P" border="0" height="12" src="http://www.mathgoodies.com/lessons/vol1/images/p.gif" width="14" /> = 18 cm</td></tr>
<tr><td style="font-size: 14px;" valign="top"> </td><td style="font-size: 14px;" valign="top">Let <img alt="s" border="0" height="9" src="http://www.mathgoodies.com/lessons/vol1/images/s.gif" width="11" /> represent the length of one side. A regular hexagon has 6 sides, so we can divide the perimeter by 6 to get the length of one side (<img alt="s" border="0" height="9" src="http://www.mathgoodies.com/lessons/vol1/images/s.gif" width="11" />).</td></tr>
<tr><td style="font-size: 14px;" valign="top"> </td><td colspan="2" style="font-size: 14px;" valign="top"><img alt="s" border="0" height="9" src="http://www.mathgoodies.com/lessons/vol1/images/s.gif" width="11" /> = 18 cm <strong>÷</strong> 6</td></tr>
<tr><td style="font-size: 14px;" valign="top"> </td><td colspan="2" style="font-size: 14px;" valign="top"><img alt="s" border="0" height="9" src="http://www.mathgoodies.com/lessons/vol1/images/s.gif" width="11" /> = 3 cm</td></tr>
<tr><td colspan="3" style="font-size: 14px;"><img alt=" " border="0" height="1" src="http://www.mathgoodies.com/lessons/vol1/images/tab.gif" width="6" /></td></tr>
<tr><td colspan="3" style="font-size: 14px;"><hr />
</td></tr>
<tr><td nowrap="" style="font-size: 14px;" valign="top">Summary:</td><td colspan="2" style="font-size: 14px;" valign="top">To find the perimeter of a polygon, take the sum of the length of each side. The formula for perimeter of a rectangle is: <img alt="P = 2L + 2W" border="0" height="12" src="http://www.mathgoodies.com/lessons/vol1/images/perimeter_formula.gif" width="107" />. To find the perimeter of a regular polygon, multiply the number of sides by the length of one side.</td></tr>
</tbody></table>
Anonymoushttp://www.blogger.com/profile/10763096938676488866noreply@blogger.com2tag:blogger.com,1999:blog-7989836314679869651.post-79996833690348214942012-11-22T14:38:00.003-08:002012-11-22T14:38:31.189-08:00<table border="0" cellpadding="2" cellspacing="2" style="background-color: white; font-family: Arial, Helvetica, sans-serif; width: 95%px;"><tbody>
<tr><td align="left" nowrap="" style="font-size: 14px;" valign="top"><strong><span style="font-size: large;">Perimeter Part I</span></strong></td><td align="center" style="font-size: 14px;" valign="top"><img border="0" height="78" src="http://www.mathgoodies.com/lessons/vol1/images/perimeter_area_logo2.jpg" width="199" /></td><td align="right" style="font-size: 14px;" valign="top"><br /></td></tr>
</tbody></table>
<br /><br style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 14px;" /><table border="0" cellpadding="2" cellspacing="2" style="background-color: white; font-family: Arial, Helvetica, sans-serif; width: 95%px;"><tbody>
<tr><td colspan="2" style="font-size: 14px;" valign="top">The perimeter of a <a href="http://www.blogger.com/blogger.g?blogID=7989836314679869651">polygon</a> is the distance around the outside of the polygon. A polygon is 2-dimensional; however, perimeter is 1-dimensional and is measured in linear units. To help us make this distinction, look at our picture of a rectangular backyard. The yard is 2-dimensional: it has a length and a width. The amount of fence needed to enclose the backyard (perimeter) is 1-dimensional. The perimeter of this yard is the distance around the outside of the yard, indicated by the red arrow; It is measured in linear units such as feet or meters.</td><td align="center" style="font-size: 14px;" valign="TOP"><img alt="[IMAGE]" border="0" height="100" src="http://www.mathgoodies.com/lessons/vol1/images/fence_perimeter.gif" width="100" /></td></tr>
<tr><td colspan="3" style="font-size: 14px;"><img alt=" " border="0" height="2" src="http://www.mathgoodies.com/lessons/vol1/images/tab.gif" width="10" /></td></tr>
<tr><td colspan="3" style="font-size: 14px;" valign="top"><strong>To find the perimeter of a polygon, take the sum of the length of each side.</strong> The polygons below are much smaller than a fenced-in yard. Thus, we use smaller units in our examples, such as centimeters and inches.</td></tr>
<tr><td colspan="3" style="font-size: 14px;"><img alt=" " border="0" height="1" src="http://www.mathgoodies.com/lessons/vol1/images/tab.gif" width="6" /></td></tr>
<tr><td colspan="3" style="font-size: 14px;"><hr />
</td></tr>
<tr><td nowrap="" style="font-size: 14px;" valign="top">Example 1:</td><td style="font-size: 14px;" valign="top">Find the perimeter of a <a href="http://www.blogger.com/blogger.g?blogID=7989836314679869651">triangle</a> with sides measuring 5 centimeters, 9 centimeters and 11 centimeters.</td><td align="center" rowspan="2" style="font-size: 14px;" valign="TOP"><img alt="[IMAGE]" border="0" height="62" src="http://www.mathgoodies.com/lessons/vol1/images/scalene_triangle.gif" width="140" /></td></tr>
<tr><td nowrap="" style="font-size: 14px;" valign="top">Solution:</td><td style="font-size: 14px;" valign="top">P = 5 cm + 9 cm + 11 cm = 25 cm</td></tr>
<tr><td colspan="3" style="font-size: 14px;"><hr />
</td></tr>
<tr><td nowrap="" style="font-size: 14px;" valign="top">Example 2:</td><td align="left" style="font-size: 14px;" valign="top">A <a href="http://www.blogger.com/blogger.g?blogID=7989836314679869651">rectangle</a> has a length of 8 centimeters and a width of 3 centimeters. Find the perimeter.</td><td align="center" rowspan="3" style="font-size: 14px;" valign="TOP"><img alt="[IMAGE]" border="0" height="41" src="http://www.mathgoodies.com/lessons/vol1/images/rectangle_8x3.gif" width="110" /></td></tr>
<tr><td colspan="2" style="font-size: 14px;"><img alt=" " border="0" height="2" src="http://www.mathgoodies.com/lessons/vol1/images/tab.gif" width="10" /></td></tr>
<tr><td nowrap="" style="font-size: 14px;" valign="top">Solution 1:</td><td align="left" style="font-size: 14px;" valign="top">P = 8 cm + 8cm + 3 cm + 3 cm = 22 cm</td></tr>
<tr><td nowrap="" style="font-size: 14px;" valign="top">Solution 2:</td><td align="left" colspan="2" style="font-size: 14px;" valign="top">P = 2(8 cm) + 2(3 cm) = 16 cm + 6 cm = 22 cm</td></tr>
<tr><td colspan="3" style="font-size: 14px;"><img alt=" " border="0" height="2" src="http://www.mathgoodies.com/lessons/vol1/images/tab.gif" width="6" /></td></tr>
<tr><td colspan="3" style="font-size: 14px;"><hr />
</td></tr>
<tr><td align="left" colspan="3" style="font-size: 14px;">In Example 2, the second solution is more commonly used. In fact, in mathematics, we commonly use the following formula for perimeter of a rectangle:<br /><br /><img alt="P = 2L + 2W" border="0" height="12" src="http://www.mathgoodies.com/lessons/vol1/images/perimeter_formula.gif" width="107" />, where <img alt="P" border="0" height="12" src="http://www.mathgoodies.com/lessons/vol1/images/p.gif" width="14" /> is the perimeter, <img alt="L" border="0" height="12" src="http://www.mathgoodies.com/lessons/vol1/images/L.gif" width="12" /> is the length and <img alt="W" border="0" height="12" src="http://www.mathgoodies.com/lessons/vol1/images/W.gif" width="19" /> is the width.</td></tr>
<tr><td colspan="3" style="font-size: 14px;"><img alt=" " border="0" height="2" src="http://www.mathgoodies.com/lessons/vol1/images/tab.gif" width="6" /></td></tr>
<tr><td align="left" colspan="3" style="font-size: 14px;">In the next few examples, we will find the perimeter of other polygons.</td></tr>
<tr><td colspan="3" style="font-size: 14px;"><img alt=" " border="0" height="2" src="http://www.mathgoodies.com/lessons/vol1/images/tab.gif" width="6" /></td></tr>
<tr><td colspan="3" style="font-size: 14px;"><hr />
</td></tr>
<tr><td nowrap="" style="font-size: 14px;" valign="top">Example 3:</td><td style="font-size: 14px;" valign="top">Find the perimeter of a <a href="http://www.blogger.com/blogger.g?blogID=7989836314679869651">square</a> with each side measuring 2 inches.</td><td align="center" rowspan="2" style="font-size: 14px;" valign="TOP"><img alt="[IMAGE]" border="0" height="40" src="http://www.mathgoodies.com/lessons/vol1/images/square_2X2.gif" width="62" /></td></tr>
<tr><td nowrap="" style="font-size: 14px;" valign="top">Solution:</td><td style="font-size: 14px;" valign="top"><img alt="P" border="0" height="12" src="http://www.mathgoodies.com/lessons/vol1/images/p.gif" width="14" /> = 2 in + 2 in + 2 in + 2 in = 8 in</td></tr>
<tr><td colspan="3" style="font-size: 14px;"><hr />
</td></tr>
<tr><td nowrap="" style="font-size: 14px;" valign="top">Example 4:</td><td style="font-size: 14px;" valign="top">Find the perimeter of an <a href="http://www.blogger.com/blogger.g?blogID=7989836314679869651">equilateral triangle</a> with each side measuring 4 centimeters.</td><td align="center" rowspan="2" style="font-size: 14px;" valign="TOP"><img alt="[IMAGE]" border="0" height="51" src="http://www.mathgoodies.com/lessons/vol1/images/equilateral_triangle.gif" width="45" /></td></tr>
<tr><td nowrap="" style="font-size: 14px;" valign="top">Solution:</td><td style="font-size: 14px;" valign="top"><img alt="P" border="0" height="12" src="http://www.mathgoodies.com/lessons/vol1/images/p.gif" width="14" /> = 4 cm + 4 cm + 4 cm = 12 cm</td></tr>
</tbody></table>
Anonymoushttp://www.blogger.com/profile/10763096938676488866noreply@blogger.com0tag:blogger.com,1999:blog-7989836314679869651.post-39517730232135556112012-11-22T14:34:00.002-08:002012-11-22T14:34:44.229-08:00<br />
<div style="text-align: center;">
<span style="color: purple; font-family: Verdana, sans-serif; font-size: large;"><b style="background-color: yellow;">Perimeter worksheet 1</b></span></div>
<span style="font-family: Verdana, sans-serif;"><br /></span><span style="font-size: large;"><span style="font-family: Verdana, sans-serif;"><b><span style="color: #cc0000;">Remember</span></b>: <b><span style="background-color: yellow; color: purple;">Perimeter is the total distance around the outside of a 2D shape.</span></b></span><b style="font-family: Verdana, sans-serif;"><span style="background-color: yellow; color: purple;">You calculate it by adding together all the lengths of a shape.</span></b></span><br />
<span style="font-size: large;"><br /></span><span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: large;">Work out the perimeter of these shapes:</span><br />
<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: large;"><br /></span><span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: large;">1. <span style="background-color: yellow;">A rectangle 7cm long by 8cm wide.</span></span><br />
<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: large;"><span style="background-color: yellow;"><br /></span></span><span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: large;">2. <span style="background-color: lime;">A square with one side 15cm long.</span></span><br />
<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: large;"><span style="background-color: lime;"><br /></span></span><span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: large;">3. <span style="background-color: yellow;">A rectangle 20cm by 30cm.</span></span><br />
<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: large;"><span style="background-color: yellow;"><br /></span></span><span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: large;">4. <span style="background-color: lime;">A 32cm by 10cm rectangle.</span></span><br />
<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: large;"><span style="background-color: lime;"><br /></span></span><span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: large;">5. <span style="background-color: yellow;">A rectangle 75cm long by 25cm wide.</span></span><br />
<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: large;"><span style="background-color: yellow;"><br /></span></span><span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: large;">6.<span style="background-color: lime;"> A 50cm by 50 cm square.</span></span><br />
<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: large;"><span style="background-color: lime;"><br /></span></span><span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: large;">7. <span style="background-color: yellow;">A rectangle 16cm by 12cm.</span></span><br />
<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: large;"><span style="background-color: yellow;"><br /></span></span><span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: large;">8. <span style="background-color: lime;">A 63cm by 25cm rectangle.</span></span><br />
<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: large;"><span style="background-color: lime;"><br /></span></span><span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: large;">9. <span style="background-color: yellow;">A square with one side measuring 45cm.</span></span><br />
<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: large;"><span style="background-color: yellow;"><br /></span></span><span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: large;">10. <span style="background-color: lime;">A rectangle 19cm long by 5cm wide</span></span><br />
<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: large;"><span style="background-color: lime;"><br /></span></span><span class="style1" style="background-color: white; color: #990000; font-family: Geneva, Arial, sans-serif; font-weight: bold; line-height: 26px;"><span style="font-size: large;">Exercise 2</span></span><br />
<span class="style1" style="background-color: white; color: #990000; font-family: Geneva, Arial, sans-serif; font-size: 13px; font-weight: bold; line-height: 26px;">Find the area and perimeter of each rectangle.<br />Remember to include the units in your answers.<br />(For example, m or square m)</span><br />
<br style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;" />
<span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;">1. 18 m wide, 23 m long</span><br />
<span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"> perimeter = </span><span class="GapSpan" id="GapSpan0" style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; font-weight: bold; line-height: 26px;"><input class="GapBox" id="Gap0" size="6" style="font-size: 16px;" type="text" /></span><span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"></span><br />
<span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"> area = </span><span class="GapSpan" id="GapSpan1" style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; font-weight: bold; line-height: 26px;"><input class="GapBox" id="Gap1" size="12" style="font-size: 16px;" type="text" /></span><span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"> </span><br />
<br style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;" />
<span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;">2. 39 in wide, 30 in long</span><br />
<span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"> perimeter = </span><span class="GapSpan" id="GapSpan2" style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; font-weight: bold; line-height: 26px;"><input class="GapBox" id="Gap2" size="6" style="font-size: 16px;" type="text" /></span><span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"></span><br />
<span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"> area = </span><span class="GapSpan" id="GapSpan3" style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; font-weight: bold; line-height: 26px;"><input class="GapBox" id="Gap3" size="14" style="font-size: 16px;" type="text" /></span><span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"></span><br />
<br style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;" />
<span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;">3. 10 ft wide, 15 ft long</span><br />
<span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"> perimeter = </span><span class="GapSpan" id="GapSpan4" style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; font-weight: bold; line-height: 26px;"><input class="GapBox" id="Gap4" size="6" style="font-size: 16px;" type="text" /></span><span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"> </span><br />
<span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"> area = </span><span class="GapSpan" id="GapSpan5" style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; font-weight: bold; line-height: 26px;"><input class="GapBox" id="Gap5" size="13" style="font-size: 16px;" type="text" /></span><span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"></span><br />
<br style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;" />
<span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;">4. 23 cm wide, 21 cm long</span><br />
<span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"> perimeter = </span><span class="GapSpan" id="GapSpan6" style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; font-weight: bold; line-height: 26px;"><input class="GapBox" id="Gap6" size="6" style="font-size: 16px;" type="text" /></span><span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"></span><br />
<span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"> area = </span><span class="GapSpan" id="GapSpan7" style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; font-weight: bold; line-height: 26px;"><input class="GapBox" id="Gap7" size="13" style="font-size: 16px;" type="text" /></span><span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"></span><br />
<br style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;" />
<span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;">5. 27 mm wide, 10 mm long</span><br />
<span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"> perimeter = </span><span class="GapSpan" id="GapSpan8" style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; font-weight: bold; line-height: 26px;"><input class="GapBox" id="Gap8" size="6" style="font-size: 16px;" type="text" /></span><span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"></span><br />
<span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"> area = </span><span class="GapSpan" id="GapSpan9" style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; font-weight: bold; line-height: 26px;"><input class="GapBox" id="Gap9" size="13" style="font-size: 16px;" type="text" /></span><span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"></span><br />
<br style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;" />
<span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;">6. 13 m wide, 46 m long</span><br />
<span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"> perimeter = </span><span class="GapSpan" id="GapSpan10" style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; font-weight: bold; line-height: 26px;"><input class="GapBox" id="Gap10" size="6" style="font-size: 16px;" type="text" /></span><span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"></span><br />
<span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"> area = </span><span class="GapSpan" id="GapSpan11" style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; font-weight: bold; line-height: 26px;"><input class="GapBox" id="Gap11" size="12" style="font-size: 16px;" type="text" /></span><span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"></span><br />
<br style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;" />
<span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;">7. 11 ft wide, 31 ft long</span><br />
<span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"> perimeter = </span><span class="GapSpan" id="GapSpan12" style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; font-weight: bold; line-height: 26px;"><input class="GapBox" id="Gap12" size="6" style="font-size: 16px;" type="text" /></span><span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"> </span><br />
<span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"> area = </span><span class="GapSpan" id="GapSpan13" style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; font-weight: bold; line-height: 26px;"><input class="GapBox" id="Gap13" size="13" style="font-size: 16px;" type="text" /></span><span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"> </span><br />
<br style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;" />
<span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;">8. 49 in wide, 8 in long</span><br />
<span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"> perimeter = </span><span class="GapSpan" id="GapSpan14" style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; font-weight: bold; line-height: 26px;"><input class="GapBox" id="Gap14" size="6" style="font-size: 16px;" type="text" /></span><span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"></span><br />
<span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"> area = </span><span class="GapSpan" id="GapSpan15" style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; font-weight: bold; line-height: 26px;"><input class="GapBox" id="Gap15" size="13" style="font-size: 16px;" type="text" /></span><span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"></span><br />
<br style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;" />
<span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;">9. 16 cm wide, 29 cm long</span><br />
<span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"> perimeter = </span><span class="GapSpan" id="GapSpan16" style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; font-weight: bold; line-height: 26px;"><input class="GapBox" id="Gap16" size="6" style="font-size: 16px;" type="text" /></span><span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"></span><br />
<span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"> area = </span><span class="GapSpan" id="GapSpan17" style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; font-weight: bold; line-height: 26px;"><input class="GapBox" id="Gap17" size="13" style="font-size: 16px;" type="text" /></span><span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"></span><br />
<br style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;" />
<span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;">10. 40 mm wide, 16 mm long</span><br />
<span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"> perimeter = </span><span class="GapSpan" id="GapSpan18" style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; font-weight: bold; line-height: 26px;"><input class="GapBox" id="Gap18" size="6" style="font-size: 16px;" type="text" /></span><span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"></span><br />
<span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"> area = </span><span class="GapSpan" id="GapSpan19" style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; font-weight: bold; line-height: 26px;"><input class="GapBox" id="Gap19" size="13" style="font-size: 16px;" type="text" /></span><span style="background-color: white; font-family: Geneva, Arial, sans-serif; font-size: 13px; line-height: 26px;"> </span><br />
Anonymoushttp://www.blogger.com/profile/10763096938676488866noreply@blogger.com2tag:blogger.com,1999:blog-7989836314679869651.post-49250941821055959332012-11-22T14:15:00.001-08:002012-11-22T14:15:30.644-08:00HOW TO FIND THE ARES<span style="background-color: white; font-family: Arial, Verdana, sans-serif; font-size: 14px;">To get the amount of space inside a figure, we use a square to represent 1 unit and we say that the area is measured in square units</span><br />
<br style="font-family: Arial, Verdana, sans-serif; font-size: 14px;" />
<span style="background-color: white; font-family: Arial, Verdana, sans-serif; font-size: 14px;">Take a look at the following rectangle. To get the area, we are going to draw squares of equal sizes inside of it.</span><br />
<br style="font-family: Arial, Verdana, sans-serif; font-size: 14px;" />
<img alt="area-image" border="0" height="331 " src="http://www.basic-mathematics.com/images/area2.gif" style="font-family: Arial, Verdana, sans-serif; font-size: 14px;" width="436 " /><br />
<br style="font-family: Arial, Verdana, sans-serif; font-size: 14px;" />
<span style="background-color: white; font-family: Arial, Verdana, sans-serif; font-size: 14px;">1 square represents 1 square unit. The rectangle has 8 squares, so the area for this rectangle is 8 square units.</span><br />
<br style="font-family: Arial, Verdana, sans-serif; font-size: 14px;" />
<span style="background-color: white; font-family: Arial, Verdana, sans-serif; font-size: 14px;">We can also write 8 units</span><sup style="font-family: Arial, Verdana, sans-serif;">2</sup><span style="background-color: white; font-family: Arial, Verdana, sans-serif; font-size: 14px;"> and it will mean the same</span><br />
<br style="font-family: Arial, Verdana, sans-serif; font-size: 14px;" />
<span style="background-color: white; font-family: Arial, Verdana, sans-serif; font-size: 14px;">Notice,it is very important, that you can get the same answer if you multiply 2 square units by 4 square units because 2 × 4 = 8</span><br />
<br style="font-family: Arial, Verdana, sans-serif; font-size: 14px;" />
<span style="background-color: white; font-family: Arial, Verdana, sans-serif; font-size: 14px;">2 square units represent the measure of the width and 4 square units represent the measure for the length.</span><br />
<br style="font-family: Arial, Verdana, sans-serif; font-size: 14px;" />
<span style="background-color: white; font-family: Arial, Verdana, sans-serif; font-size: 14px;">Thus, in general, to get the area for a rectangle, just use the following formula:</span><br />
<b style="font-family: Arial, Verdana, sans-serif; font-size: 14px;">Area of rectangle = length × width</b>Anonymoushttp://www.blogger.com/profile/10763096938676488866noreply@blogger.com3tag:blogger.com,1999:blog-7989836314679869651.post-62000933713175863362012-11-22T14:15:00.000-08:002012-11-22T14:15:11.355-08:00THE SHAPES SONG....LALALALALA<iframe allowfullscreen="allowfullscreen" frameborder="0" height="315" src="http://www.youtube.com/embed/pfRuLS-Vnjs" width="560"></iframe>Anonymoushttp://www.blogger.com/profile/10763096938676488866noreply@blogger.com0tag:blogger.com,1999:blog-7989836314679869651.post-78453629276361427412012-10-17T06:24:00.001-07:002012-11-22T14:32:40.141-08:00WELCOME TO MY BLOG<span style="color: purple;"><span style="font-size: large;"><span style="font-family: Georgia,"Times New Roman",serif;"><i>Assalamualaikum w.b.t</i> and felicitations to my colleagues , non - colleagues, friends , much adored pupils and the lovely parents who decided to read this blog. Welcome to my blog.I do hope it will benefit all the readers, especially the children studying in Year 4.</span></span></span><br />
<span style="color: purple;"><span style="font-size: large;"><span style="font-family: Georgia,"Times New Roman",serif;"> This blog was created to help Year 4 students understand the topic 'Shape and Space',as this subject is quite difficult for the pupils, in my experience. Within this blog you will find many useful and informative notes, challenging exercises and fun mathematics related videos,games and more...HAVE FUN!!!!!</span></span></span>Anonymoushttp://www.blogger.com/profile/10763096938676488866noreply@blogger.com2