Question

Calculate the area of the regular pentagon below:

A regular pentagon with side length of 22.3 inches and dotted line from center to middle of side of 15.4 inches.

(4 points)

a
686.84 square inches
b
732.34 square inches
c
858.55 square inches
d
1717.1 square inches
I need help

Answer 1

I think that the answer is b

Answer 2

• c. 858.55 in²

Explanation:

The dotted line is the apothem, which is the height of the triangle with the base same as the side of the pentagon.

There are 5 same triangles.

Total area:

• A = 5*(1/2)*22.3*15.4 = 858.55 in²

Correct choice is c.