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The area of the second polygon is found by multiplying the area of the first polygon by the scale factor squared. If you know two corresponding sides of similar polygons you can find the scale factor by dividing one corresponding side by the other.
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.