Question

Directions - Find the area of a regular polygon the following information:



- Pentagon

- apothem = 22.6 cm

- side = 32.4

Answer 1

To find the area of a regular polygon, you can use the formula:

Area = 1/2 * apothem * perimeter

First, calculate the perimeter of the pentagon:

Perimeter = 5 * side
Perimeter = 5 * 32.4 cm
Perimeter = 162 cm

Now, plug in the values into the formula:

Area = 1/2 * 22.6 cm * 162 cm
Area = 681.6 cm^2

Therefore, the area of the pentagon is 681.6 square centimeters.