Consuelo's living room is the shape of a rectangle and has an area of 360 square feet. the widith of the living room is 5/8 it's length. what is the length of the living room?

The length of the living room is 24 feet.

Given:

Area = 360 ft²

Length = x

Width = 5/8 of x

Area = Length * Width

360 ft² = x * 5x/8

360 ft² = 5x²/8

8 * 360 ft² = 5x²

2880 ft² / 5 = x²

576 = x²

√576 = x

24 = x

To check:

360 ft² = 24 ft * (24 * 5/8)

360 ft² = 24ft * 15 ft

360 ft² = 360 ft²