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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_vMOUIzEVWajSV-nP0aLB1JInZ_c9LRFXX9Se21qfERS7g3Q94uV3HhCZirzOGvmfnDxqZ-AtSEOhaB9IXpSz0w0j0JkPEi0NawLmrZRYJdk8TYp9lwnWvpF04M1HcU_w=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_tqynNsEf_0Ak-ymzBpm1tt9zHeGSO9oHZmrpE0KheQYeHi31rY6swRh0riUYJL_xoL5yShELxQGdIPD3rgYB6t4-QFJqt548zAujKtZCqmzd1OAD3v9c7lS-26Lvt5SJ0zY24L_nMXtmrW=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_tBUE35S0y0l9vgLKW5Sze8oBZZevXXrIfJ3GxhsZUmvppX_KN1W2Dg0HJXhl2KqapEJiVtmS1tnT3AbIDcA9h_dKOf4NxRshEqI5o1AH0b1FdA6J0VjRf2wJR0WRRV=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_s6vfCsdAd0SxWTQQ_uX7Pj_Wy4ZkJZwW83GPGvX5E59PwudOTlq4cufVKIU2FJCOjpnGT8IouDGsDMb4uOMb9kwL4Qn38QLbQtNT1dXaLH4HwBSX9UdqUU0mgxOHDj1V4ykPiKUQ=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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