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Find the apothem of a regular polygon with an area of 625 m2 and a perimeter of 100 m.
A regular polygon has equal sides and angles. A polygon has a surface area but a polyhedron has many faces as for example a pyramid.
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 area of a polygon is not enough to determine its shape - unless it is a regular polygon. There is nothing in the question to suggest that the octagon is regular.
Area of regular polygon: 0.5*3*20 = 30 square feet