Question

Brandon is putting a rectangular fence around his garden to keep the animals from stealing his vegetables. The perimeter of the rectangle is 72 feet. The ratio of the width to the length is 5 to 7. What are the dimensions of the rectangle? (Please show all of your work!)
I'm Giving 15points & I'll Mark You The Brainliest. PLEASE HELP FAST

Answer 1

L:w=5:7
l/w=5/7
cross multiply
7l=5w
(7/5)l=w

P=2(L+W)
P=72
72=2(L+W)
divide both sides by 2
36=L+W
W=(7/5)L
36=L+7/5L
36=12/5L
times both sides by 5
180=12L
divide both sides by 12
15=L

W=(7/5)L
W=(7/5)15
W=21



length=15ft
width=21ft
dimeitions are 15 by 21ft