Answer:
88 ft
Step-by-step explanation: Start with the formula for the area of a rectangle:
A = L*W, where L is the length and W is the width.
Here, the width is W = 24 ft, and the area i s 480 ft^2. Thus,
A = 480 ft^2 = L (24ft), which yields L = (480/24) ft = 20 ft.
The length of the fencing required is actually the perimeter of the yard, which is P = 2L + 2W.
Substituting 20 ft for L and 24 ft for W, we get:
P = perimeter of yard = amount of fending needed:
P = 2(20 ft) + 2(24 ft) = 88 ft
Ken would need 88 ft of fencing to enclose his entire yard.