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.