The area of any regular polygon is equal to one half the product of the apothem and the perimeter of the polygon. A regular polygon is any polygon that has equal length of its sides. A pentagon has 5 sides so if it is a regular pentagon then the perimeter is 5 times the length of one side. The apothem of a polygon is the length of a line from the center of the polygon to the middle of one of its side. We calculate the area as follows:
Area = apothem (perimeter) / 2
Area = 7 ft (5 (10 ft)) / 2
Area = 175 ft^2
