Consuelo's living room is the shape of a rectangle and has 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?

The answer to your question is length = 24 ft

Step-by-step explanation:

Data

Rectangular-shaped

Area = 360 ft²

lenght = x

width = 5/8x

Formula

Area = length x width

- Substitution

360 = (x) (5/8x)

- Solve for x

360 = 5/8x²

x² = 360 (8) / 5

x² = 2880 / 5

x² = 576

- Result

x = 24 ft

- Conclusion

The length of the living room is 24 ft and the width is 24 (5/8) = 15 ft.