The perimeter of a rectangle is 86 units. The length is 7 more than 5 times the width. Find the length.

Guest Dec 28, 2019

#1**+1 **

Perimeter = L + L + W + W = 2L + 2W

L= 5W + 7 (given)

or (L-7)/5 = W

2L + 2W = 86 (substitute in W = (l-7)/5)

2L + 2 ( L-7)/5 = 86 (multiply both sides by 5)

10L + 2L - 14 = 430 (simplify)

12L = 444 (divide both sides by 12)

L = 37 W = 6

ElectricPavlov Dec 28, 2019