A regular pentagon has an apothem of 7.3 inches and a perimeter of 53

inches. What is the area of the pentagon?

The area of the pentagon is 193.45 square inches.

Step-by-step explanation:

In order to solve this question we need to use the appropriate formula for the pentagon's area shown below:

area = (p*a) / 2

Where p is the perimeter for the pentagon and a is it's apothem.

area = (53*7.3) / 2 square inches

area = 386.9/2 square inches

area = 193.45 square inches

The area of the pentagon is 193.45 square inches.