well, for one thing, what polygon is it. a triangle, a quadrilateral, what!? Two, if its only side is 8in., then it is not a polygon at all. it needs to be a closed plane of connecting lines.
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The area of a regular polygon with n sides is the half of the product of its perimeter and the apothem. So that you do not have enough information to find the area of the polygon (for example how many sides it has, or the side length).
The length of each side is (115 inches)/(the number of sides in the polygon) .
23 is your answer.
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
Add the length of all sides. A regular polygon is a polygon where all sides and angles are congruent, so a shortcut is to know the length of one side and multiply it by the number of sides.