The perimeters of the square and the regular pentagon are equal. What is the perimeter of each polygon? A.12 B.15 C.42 D.60

Question

asked Mar 2, 2021 233k views

2 Answers

Soteric · Answer 1 · 2021-03-09T03:32:08+0000

Good evening ,

Answer:

Explanation:

Perimeter of the the square = 4(3x+3) = 12x + 12

perimeter of the pentagon = 5(x+8) = 5x + 40

the perimeters are equal means 12x + 12 = 5x + 40

12x + 12 = 5x + 40 ⇔ 7x = 28 ⇔ x = 4

x=4 ⇒ 4(3x+3) = 4×15 = 60

⇒5(x+8) = 5(4+8) = 60

:)