Question

The side length of one of the pentagons measures 2 inches and the apothem measures about 1. 38 inches. What is the area of one of the pentagons? State your answer to the nearest tenth. Square inches The side length of one of the hexagons measures 2 inches and the apothem measures about 1. 73 inches. What is the area of one of the hexagons? State your answer to the nearest tenth. Square inches.

Answer 1

Answer:

Pentagon: 6.9 in^2

Hexagon: 10.4 in^2

- to the nearest tenth.

Step-by-step explanation:

I am assuming that the pentagon and hexagon are regular.

Area of the pentagon :

Perimeter P = 5 * 2 = 10 inches.

Area = 1/2 * a * P      where a = the apothem

Area = 1/2 * 1.38 * 10

= 6.9 in^2.

Area of the hexagon :

Perimeter P = 6 * 2 = 12 inches.

Area = 1/2 * a * P      where a = the apothem

Area = 1/2 * 1.73 * 12

= 10.38 in^2.