please help with this problem

Answer:
w = 12 ft
l = 24 ft
Step-by-step explanation:
Area = 288 ft²
Width = w
Length = l = 2w
Plug the values into the formula for area of a rectangle. Solve for w.
A = lw
288 = (2w)(w)
288 = 2w²
288/2 = 2w²/2
144 = w²
√144 = w
12 = w
w = 12 ft
Now that you the value for width, solve for length.
l = 2w
l = 2(12)
l = 24 ft