What is the area of a regular pentagon with an apothem 14 inches long and a side 20 inches long. Round the answer to the nearest inch

A. 1400 in^2

B. 700 in^2

C. 175 in^2

D. 140 in^2

1 answer

The area of a regular pentagon can be calculated using the formula A = 1/2 * Perimeter * Apothem.

First, calculate the perimeter of the pentagon:
Perimeter = 5 * side length = 5 * 20 = 100 inches

Now, plug in the values into the formula:
A = 1/2 * 100 * 14 = 50 * 14 = 700 square inches

Therefore, the correct answer is:
B. 700 in^2