Question

A regular pentagon and an equilateral triangle have the same perimeter. The perimeter of the pentagon is 5(x-2) inches. The perimeter of the triangle is 4(1/2x+2) inches. What is the perimeter of each figure?

Answer 1

20 inches.

Explanation:

We equate the perimeters:

5(x - 2) = 4(1/2x + 2)

5x - 10 = 2x + 8

5x - 2x = 8 + 10

3x = 18

x = 6

The perimeters = 5(6-2)

= 20 inches.