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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_srU2DJmnU4VhrO8M58W1Lzxb38nGAnA_-mlnSpgs451NNWrRvDokRTRmRdS5swlHm_NYQovCA5Z1Q9aqlyPloPpGZt13YqBeZd96ftZZD521PJyVNtzZUEFeqVcBtyEA=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_sVIf8RUiBWC6QkPrnw2XLA_WVuqh-06f0qEMn1pdU5YyGYRTeTH4zv4FRph0bLNfh30bxY-a7eBUD-5cvz4D2QCCsY2F9XihpbRXpCFiPZlV_vVqKhU2MAiKM7Z1fgUcXfYZsRHmT2eKTS=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_vF7p65giiHUd2rRiwRt3wYeJXa5U-YR7M-Zu3S1FIOjCLoHiRIk2wp61vobTAc6yX09ex2CjW0brHTZJ11XNKD0I4EKwnULby68Jk0t4K0IcXbA83sBE3EswAlCGWs=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_tSiKnQCeQTYoZsF4-m80nJFlE0Fk9Mu0KWrAjTkk4Wna853Zbk_Cqg5Fq0pKkn_C7EFECOTEepx5wlAxdeh8RojpjDa4zPg5sCLy04PLwf0QuLkCjHlsNIgR3XybvttHGHMg9frA=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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