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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_seFlyuKdOOAoOuYpBYOM2c0TmyIvyx18QETmZfKGlptY7n6YKFcE-tWp15Y6_wLmid7ZPxsqkhAAQ6lORUXrEjjBkYFC9xiqvhUZ526xGzY67qYxT-bsJy7Wr4j7xvcw=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_sRT5UD7YKgMLk8zJUYgkmBsSaMq-4VsUNCZBRlZS5BnYKtTGPjMFB3jCjAQLMQ4e0v-xJ_YMdryQYkziW89uv96-uwdOaiDj93o6C3q-9guJV21pEPTmpOmkmgjkz04sgQ_72ES0usWzCO=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_tGVtFlwwRS37qF4uN6R0fyoAy3wfK2x-DWv_NNFXb0LB9I3ooUyx_RSWwuatSFlu6CzHkAO7b-GvFyVwfA_iXw7pm0wSaasiAb2dS7VVLBZnn85wc6SgXXcpmLQzyZ=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_vXwB8bjZm197GwzjI1rqD9WwE5pBnSO3m7-PGcnh0ucYh7G5_PoZKM5bwk62-vahrAEqq2dwPyg8KabIn69B-g3QeRIOPFrFGoJujB2e9nK74Syv3iJl9B8ODk4liE3N-SxjaMKg=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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