Question

What is the area of the regular pentagon with 5 inch sides and apothem that measures 4.2 inches?

52.5 in2
21 in2
105in2
10.5 in2

Answer 1

The area of the pentagon is 52.5 in²

Explanation:

The area of a regular pentagon is given by:

area = (5*l*a)/2

Where l is the length of each side and a is the length of the apothem. Applying the data from the problem we have:

area = (5*5*4.2)/2

area = (105)/2

area = 52.5 in²

The area of the pentagon is 52.5 in²