Question

the width of a rectangle is two thirds its length. if the perimeter is 180 meters find the rectangle.

Answer 1

let the width of the rectangle be k.
so the length of rectangle is (3/2)k.
Perimeter of the rectangle=(3/2)k+(3/2)k+k+k
=5k
=180m
so,
5k=180
k=36.
thus,
the width of the rectangle is 36m.
For the length,
Length=(3/2)(36)
=54m

Answer 2

P = 2L + 2W

180 = 2L + 2(2/3)L

180 = 2 4/3L

180 / (10/3) = L

180 * (3/10) = L

540/10 = L

54 = L