Question

The length of a rectangle is 15 less than three times the width. The perimeter of the rectangle is 178 centimeters. What is the length of the rectangle?

Answer 1

40.5in

Explanation:

Given data

Let the width be x

L= 3x-15

Perimeter= 178cm

We know that

P=2L+2W

substitute

178= 2(3x-15)+2x

open bracket

178=6x-30+2x

collect like terms

178=8x-30

178-30= 8x

148= 8x

divide both sides by 8

x= 148/8

x=18.5 in

but L= 3x-15

L= 3*18.5-15

L=55.5-15

L=40.5 in

Hence the length is 40.5in