Question

The length of a rectangle is three times its width. If the area of the rectangle is 192 ft^2, find its perimeter

Answer 1

Area(A)=192ft^2
Width (W)=?
Length (L)=3W
First we must find what the width and length are to find perimeter (P=2L+2W).
A=LxW
192=(3W)(W)
192=3W^2
192/3=3W^2/3
64=W^2
8=W can only use positive solution of 8 because distance is positive.
L=3W=3(8)=24

P=2L + 2W
P=2 (24)+2 (8)
P=48+16=64ft