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

The area of the pentagon is 52.5 in²

Step-by-step 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