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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_splCDB-PcRpRIe7-o_FLT_s66RGKWkbSNZeqRMGP38-pxOn7GA-KelQWcFIeeIu2uSXuIcIRQJsHG2A-YYOVZoR0OosRX4jNMKruQcgnqyJe_tzmGexuxNxrQnUh25vw=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_tIvK4KkE8G7Txm6bUkOeEMUd882nA3hCzTx7-7BDDoxz2tZaovyObotsHn59qgaucdmhdJZ5ued3e5a83Alsq8rHacI-rLw_LK05TxtsmzVgdMgYHQpV3qxC8AnSaWxPMzClL1zG23HBGA=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_sN_0PFUilfyJaYRd27qEJ02cnX4WvzVvWwthOpLjN_o3Uinw7MMFi2ZkzrheJHAlZMiTaPmrQDpig3s2RjI7rYCHsIsFtvkYCPTuWFy_A7KmlFjEO2xR7J4gJMtttn=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_sS4-wmJYg-iDyYqnOiHPdFIhMk_37bcvqboseOdlHO9MtJmWEayDz2ukA91NStSd8Cct8dzUbtRCJgYGlKLMifaDeG37gHTqcxY8CDUS4m17dy1v9eEv5qzfNdzXlJ47epZgIYpg=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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