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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_skTDQs_ydlBSpKmrJ-aiqQtdWqRTR9SZC_7AbTgCK2IvHTxLGz0lHYUuKE3D7pV3H1_itT52u5NHT6ZEVhabOD0_zV-NYmsPBjyAef6Cza6VwsVaVEeBv70qA4DoJdyA=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_u3vglv8IM15JP4-x6eZta6TZL4oUZWOkhXsVq3PrVzf_bgtFoRc8IKM-5ZHjeWp2_ml6nmw-1oBfKOssHhD-gVo2ToPWwW0_TqanTGixiPjOEL35el50fea_Xz3LnVSSHBre2YPG-sLdEM=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_vZfBr2Vjl9pFihz5zwQZYsaryaCq2L719Mqq-Gd6MZW5-Pai-Dytf0g79enma-l_AmJYoz9MeC-w6K53-KRrc8P2rmqluIjk-4rvBe-5kQ3_15A0csQ-7p-NJjCqrv=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_tO1mzOizDCoMduSG9SAQaoj_fiw6S73GvFz-2szGMIxsqgQwnSZYQa6K-qPj1DksKhz5KQ0xn3LhjuG6rlPKQgCny7aimLI6fhf38YvnI1c5C174u7zoB_e1KWdc7Zydx9lyVzVw=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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