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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_sPhLhbgyEbcyMJfA5YKsgYN4kvIiB9Xj76ucSCtLRdDRwYybBtt6mLyQoF0PBnXO4bX0UCVDGjxTs5fwstEdmoAIGdBDranz_mQRGrvFIM_OfvVs7x-fKIBqwYt0joYA=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_sh12M3zU7eqVNykLY97sb9xfeAV0-rJF1UgQVvkOaY4zrJfyiDlfvnA8tVwmw-FZ0BB2vSQz0wIKx8vXnWPL1bNbaw1k2k3_8OaW0XgqPemQmKVQhG6yfd25MpTX_P7a5GbPL1qvqSjYTZ=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_vl95tLfe5Mn5orpBQYi0o8dL51EDTZQ1GW2mgzKpCjWgDDkQDAikmOD8ZN7t1Xlfn2O1oJYDhvDqoUgikyR_fOahk0kRT6X5Bw90OJoA_k4nKe11GC5kcPF51Ct694=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_vLJmlxABB8uKkjCfvKU0CzHCswTGRRSDBjSS85LP-yHlDQGotfZKabX8_JWPFXNNOwuBq4bSSM8vcSHNTRaA9T1vLwWWYewuWCv9clfVNKpy4QvNv8wM_ovBuhi6c71z8d7Wo7Xg=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. |
THANKS FOR SHARING
ReplyDeleteSimple but useful note, thanks for sharing.
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