Find the area of the regular pentagon if the apothem is 7 ft and a side is 10 ft. Round to the nearest whole number.

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