Answer:
W = 5 ft; L = 10 ft
Explanation:
Start by representing the length and width:
W = W
L = 2W
Area of rectangle = L * W = 2W * W = 50 ft^2. Then 2W^2 = 50 ft^2.
Solving for the width W results in W^2 = 25 ft, or W = 5 ft.
The length, L, is therefore L = 2W = 10 ft.
Check: Does L * W = 50 ft^2? Does (5 ft)(10 ft) = 50 ft^2? YES