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

step-by-step explanation:

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation: