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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_so4FDmjNRjpsoXZTyvyxP_qJkrmYZEMUDhPuGLQ-3JsUxu-Arv_BymOgfUfxBIq99UqtnJrKGiSFXjLl0SZlAaRZ7KUWRtnSqOWO8OPecZYnVf_Pb0K5KGGGeck_4jUg=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_uMWHQeaaKu4CvwcQOeuZGa6s97VZgmh94bJ0uvXl5H8-swc1xTmwDnruKtFI1xhC12T_RojBlS4_TawzxztbGW4ToGFx-xBiSoaG0HUHva4cQdqAdzWPpDhG8i2kdrRwp4OxQA-mExDPNW=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_t2gPY3P299Y_7EL6FykT5SipKxLHQawII2XdSHeYBxZHQwn6XDUjmLY7UpU3XquAFt-dnI6SB-CeCtliLpamIjouo2E165mLUj7SPgmlPmqGtIVjAXoOgSljqoZ_Z7=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_uMUd2FCVdgXByO1p-w-5PQx8gZCh9seFmfzZrn0tT1NuBfOhsIzLuFrd3vX2y7-u2EsGu_yP08WkQBpLfT82ZrwM16D5EDfKDpZ0l-y7rLl56Ij51vi-cozUOniy8K7TFVNmK7Qw=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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