Consuela's living room is a rectangle with an area of 360 square feet. the width of the living room is 5/8 its length. what is the length of the living room

Area of Consuela's rectangular living room = 360 square feet

Let us assume the the length of the living room = x

Then

width of the living room = (5/8) * x

= (5x/8)

Then

Area of the rectangle = Length * Width

360 = x * (5x/8)

360 = 5x^2/8

2880 = 5x^2

x^2 = 2880/5

x^2 = 576

x^2 = (24) ^2 inches

x = 24

Then

The length of the rectangle is = 24 inches

And

The Width of the rectangle is = 24 * (5/8) inches

= 3 * 5 inches

= 15 inches

well in summary the answer would be 15