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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_thvQqG9wVq_5io0fUuKioUkCztBdUAFKK85GY0DsN2d2qeZzNiPSrItLam95KaSdCIbYGn1h0b1Q4LlagrGEcubZi-VW0aeZ6yd22_QRoFMGXjxaZXcEFb55lSlf4MVg=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_vlxOLarAiz-nz-0GSasuUNiJzHn8qAuRLCN7egRfvOJunwll9ugS2IJh7I4wkPOOBbmT2VNX1Ad74CIsEANGayht56sw0H5L_TjQ64KIUpMhLw8TxkC5gnP9or6Bgrd8WsVk-8BAoncbra=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_viks2cIzwPTZeLD7NCjVlHqElAx7JvcK0jQiEvwTTN9LgNiSmmL_NoPFtVTnQ69tOm5_NhSEUvZYByZ_u43j0C2EYl_Bnc2CWL0k_Yj34_yX89MEmdjrxt39g_GK8v=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_sp9kp_WPIEv-HlvT9_x8Hks-tiiSyWX2h6Xdo4eweBR3CiuWUhgBhdtJhI3iVE9m55QgvL2qmIrysimomJVJsDRQu7_UEG7BfEaOueGhfka_GFGno4MCDkxzC44X_t94xa8EDGBA=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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