Consuelo's living room is in the shape of a rectangle and has an area of 360 square feet. The width of the living room is 5/8 its length.

Is the length 24 feet?

true or false

Area = length x width

Let length = x

Width would be 5/8x

Set up the equation:

X * 5/8x = 360

Simplify:

5/8x^2 = 360

Divide both sides by 5/8:

X^2 = 576

Take the square root of both sides:

X = 24

The length is 24 feet. True