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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_sxN30IRk77hVXBYl6p3oBJSXMjEcU4HCJgHPS9xe2ImxP7j0RTdnKkQ6G2sQ4Hp0VC6J4nJuGCyJO06qnmIvR6ExJJo45N54M8vF8jFjV3p0U4qV5ZPKhIipsB-lfP8Q=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_v06T8eN_oP27OxRHtYrifS9O5GmSR3dUkeMWZ8D-U5DOnOAv1Xj07tfyDEVvw5a5Qsp_MnC8-LbkDBIh8B6pTzuXi0i09VBDFSHZJd4keXLsUApTw8uN4OxgjStURB6SD-Tqfe-rvEYboQ=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_sOamKRkr53xUGVeo5eNNlnOEvRcUHStqhuJwXKv8g6U-2JrGuXCgG8HsPB0Xs_N5vZ3iibccPF-A1xlclP54kMgxTkpiPoi19EPdUewXiZPJnpDA5YkGtEYjH_Zg2Z=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_tY2P9xlR_mMKH0k9hFofb5pkeqdMbmHaiOEwGw-OrYmJzM9Nlu-QXOSyrVCv7qCxfrfFlC83UZcmSyp1sS90ruk7N-texXXJ17aRR2OUjGABT_f6tZE2PMLIuQaO-DnKe4-nXbkg=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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