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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_tae5b5-jvBNWLgeEHZH8pEmXBxXvx7vjJqEHL5rtwoDbC6nvn_J7Jst8tM-ZVT4mVF1Znb-l7caSrYKvYWsR6tCCQGtSBnTdvv4U7D073eN0mEZaAEPncE1UdlUkF0ZQ=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_vixIEyPRawS5_TPOAHh4km1W0Dic0TUrcv-Ue_lMtwvdrdP9j-X4xlDzwbTMF_5hcg_R_ypuL6-lP4rs5US4qgTjRxjEfERGM65Jmc4mwdDrJaa-P2kFq18uqY_DNWukDcrk4hWSADzblO=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_sYsxJJnZGfq_62J9PBQ07-WWGl8bgJOKswaRuKRQprkmlOY_uHEuA6G_1pygxok_OazLQ7N8YHNjk3ONuCCeNc2WNlh11a49jqQrCjiNFOzRSQiMl8ip8oBnuI9rKu=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_s2yQ9zrgOREh1jTnPSP5qDmaphUeR6l9fg1yj38Md9wQxlshpow9zurutAwVs-bYUnAnipgguCdUfvrUPY3I8ET1JBoxPYkwXl_xYKE7NltyyXxMovVuz5NUXa4TjQbjEj2b6GbA=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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