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Thursday, November 22, 2012

AREA


Area of a Square

1 square centimetre
The area of a square that has a side-length of 1 cm is 1 square centimetre (or 1 cm2).  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 .
Consider a square that has a side-length of 4 cm.
4 rows of 4 squares
Using the method of counting squares, we find that the area of the square is 16 cm2.
Clearly, the square contains 4 rows of 4 squares.  Therefore:
Area equals 16 square centimetres

This suggests that:
The area of a square is equal to its side-length multiplied by its side-length.  That is:
Area equals length squared

Using the pronumerals A for area and s for side-length, we can write it simply as:
Area equals s squared
This is the formula for the area of a square.


Example 1

Find the area of a square flower-bed of side 15 m.
Solution:
Area is 225 square metresSquare of side-length 15 m

Note:
To find the area of a region enclosed within a plane figure, draw a diagram and write an appropriate formula.  Then substitute the given values and use a calculator, if necessary, to obtain the required area.

3 comments:

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