The Gilberts are designing a rectangular patio. The patio has an area of 432 square feet. The width of the patio is its length. What is the length of the patio

Missing info: The width of the patio is 3/4 its length.

Given:

Area = 432 square feet.

length = x

width = 3/4 * x

Area of a rectangle = Length * width

432 ft² = x * 3/4 * x

432 ft²/3/4 = x²

432 ft² * 4/3 = x²

576 = x²

√576 = √x²

24 = x

Length is 24 ft.

Width = 3/4 * 24ft

Width = (3*24) / 4

Width = 72/4

Width = 18 ft.