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What is the length of each side of a regular nonagon if it has an apothem of 25 and a area of 2025?

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Answer

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11/26/2007

Area of a regular polygon = 1/2(apothem)(perimeter)

2025 = 1/2(25)(perimeter), so the perimeter = 2025 divided by 25/2.

Perimeter = 162

Side length = 162/9

Side length = 18