Bryce has 220 feet of fencing that will enclose a rectangular corral. One side of the corral will be 48 feet long. What will be the area of the corral?

The area of the corral is 2976 ft²

Step-by-step explanation:

Here, we have the perimeter of the rectangle given as 220 ft

Therefore, since in a rectangle, we have 2 sides of the four sides equal, that is;

Perimeter = 2*One side + 2*Other side

or Perimeter = 2*X + 2*Y

Here perimeter = 220 ft = 2*X + 2*Y

As one of the sides is 48 ft, we have;

220 ft = 2 * 48 + 2*Y

Therefore, 2*Y = 220 ft - 2*48 ft = 124 ft

∴ Y = 124 ft : 2 = 62 ft

The area of the corral = Area of rectangle = Length * Width = 62 ft * 48 ft

Area of the corral = 2976 ft².