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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_tzFzZutd2BBniuPhwOFr42f_4EpCbotELwRgJdd9RM7KfeeNlwSUlSUxczpw7bXCD-R-iR_ejejxbVKbJbSykzmelaUDs4H1mbEQ9TYPR_yPgOUKUJbKsoGjawVfwvBA=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_t92KLjZmU1JSbJ7dl_MsJ4GVUOcit-KnWaVMNu3J80zqw0jdcSyZHdqDlBRTbDx4T_8C0bGoS6Rv5JdLLS0mde7NFEz0Kcr9z1ZZERK_o4BOKQS-EmY1SKjsldWPYuThlRFZJ90F54rjxg=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_sAfx_yOSGGIzOu49yX2e48nTpH4mxYvLPi80z5N3BTHEfdHwPnPhpZEfbLMyo1aXeVnpxQNXO2QUwh48ZERVhDjssbJ2ny1BAN5JBJ3N1hy6Xlitxpj3wm03J_50KU=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_tQfzvtUyu7C7ax4lj_QQnIKaOJSxQhoQeSF3ZcU0yc3C1sM_VzN1_qTF8ay5Zx3l5Z0L-aQQvvwAdp88EVZ5DFNhSJG4OpsLF9T-anNXGgH-Llvj389CP-vCos5BH4u8red6JlHQ=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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