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A square and an equilateral triangle are both examples of regular polygons. 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. |
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Example 3: | Find the perimeter of a square with each side measuring 2 inches. | ![[IMAGE]](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_sKQXyexupypHH6aL-PyzGC0QJbEq8Y_tnMHNCLNqTkT3JMtoxk-kY-iBc7WpkYXFH1Bu-hz3e_YVM2WNnAsJx6TdyaerTban02F6Iy7qXi14wQaDoKIDfz4V3dX4qn_w=s0-d) |
Solution: | This regular polygon has 4 sides, each with a length of 2 inches. Thus we get: |
| = 4(2 in) = 8 in |
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Example 4: | Find the perimeter of an equilateral triangle with each side measuring 4 centimeters. | ![[IMAGE]](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_t3Til94bGPlW0t1lONTagW6t-HuaVbtReSnjV7euf9GSKCJeErdcZoJjFJceIgo1Mws7a9pShVf2JKEXmXKCTH8UOs8-CZfvYjg77y7Ocp3vpEs3uGNTs97-3g2CC7Xzbg0IV0clAC1-Eo=s0-d) |
Solution: | This regular polygon has 3 sides, each with a length of 4 centimeters. Thus we get: |
| = 3(4 cm) = 12 cm |
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Example 5: | Find the perimeter of a regular pentagon with each side measuring 3 inches. | ![[IMAGE]](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_sVF_MIiejdzH2vYERbbpE_rh85y8NK_507p9ThmtB_UbtHd1xs12cW14gz59hsaJcPeUF5vfic-kFQrVAaozVCeU55SOd_hgmcZsfg8gvSwhuOBTD--SjZgWkza6KX=s0-d) |
Solution: | = 5(3 in) = 15 in |
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Example 6: | The perimeter of a regular hexagon is 18 centimeters. How long is one side? | ![[IMAGE]](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_usGY9b0NaOH_E6ojm1su0PtbcKWBG3eWOZ3HhsfGtk9lBqV-0-px_PlUYXzarj_5JI3kJM2Vha0U2TJFcoevEZBTf1xkWiP2Ip_Y0M2AjO0abdtOuJtyZialJcTNndZEp5iYbauw=s0-d) |
Solution: | = 18 cm |
| Let 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 ( ). |
| = 18 cm ÷ 6 |
| = 3 cm |
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Summary: | To find the perimeter of a polygon, take the sum of the length of each side. The formula for perimeter of a rectangle is: . To find the perimeter of a regular polygon, multiply the number of sides by the length of one side. |
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ReplyDeleteSimple but useful note, thanks for sharing.
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