The perimeter of a rectangular area is 60ft. If the length is three times the width, what are the dimensions of the area?

1 Answer
Jan 12, 2018

Length #=22.5# ft, Width #=7.5# ft.

Explanation:

Let the lenght be #l# ft. and the width be #w# ft.

The perimeter of a rectangle is: #2l+2w# [A]

We are told: #l=3w# [B]

[B] in [A] #-> 2*3w +2w =# Perimeter

We are also told: Perimeter #=60# ft.

#:. 6w+2w = 60#

#8w =60 -> w=7.5# ft.

#w= 7.5# in [B] #-> l = 3 xx7.5 = 22.5# ft.

Hence, Length #=22.5# ft, Width #=7.5# ft.