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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_tqKRkA-OzyNVAymK69CtOdTXE8b5VmTBm5eepcEAWjIP5qvoon8kF6oxjNZGFW0x7uhQ-Tw9mTeP_h6mEZ4LzO1O5fk2NU7BBku05fJ68E-B8wAblo7V23Qw3Tp2aveg=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_ub9eLWtbSWrpOuoIiERqEb5pQ66clSTjqhk6sRegxasYnjvNUCBumPP3mAx8QEN_YEPC5yq7F_yJ4XBkbtnqtou55V-l_LgSIq0_8sIOZnclN_bijWMNztMPIM5sLV2wff43HWJeLYF5Yc=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_uFpj7_KFr9nEMzRy4AI6t3fzLsNgkx52gH8NHH-Oc3Cmyc7w7t0-nssvc6lbr_IUwY4FfDZll3ZaNZmZYIUKF1vfDhH_FNtF7y_WMSxNTqppORzngnO4n7nbOd6_qr=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_saoxnC03jZB5Vq6M3VYkjQkXpQznZAOqdmICr-EInemT81MqHwYFvHEKIb6nRoonoLT41E5jrchvIsjJKdkIoaUW0kZFUJsQBdWFgo2g8-pJrwkEQBs3jqdAqkh7N21eOEwFCoSQ=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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