Question

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

Answer 1

2,976 ft2

Explanation:

The perimeter of the corral needs to be 220 feet, so:

2*length + 2*width = 220 feet

length + width = 110 feet

If one side of the corral will be 48 feet (let's say the width), we have that:

length + 48 = 110

length = 110 - 48 = 62 feet

So the area of the corral is:

Area = length * width = 62 * 48 = 2,976 ft2

Answer 2

The area of the rectangular coral = 2,976 ft²

Explanation:

Bryce has 220 ft of fencing to fence a rectangular coral.

Let the dimensions of the corral be x ft. × y ft.

One side of the coral is 48 ft. long

A rectangle has 4 sides, with each of the two opposite sides with the same dimension. Hence, the perimeter of the rectangular coral = 2(x + y) = 2x + 2y.

Total length of material for fencing = 220 ft.

Hence the perimeter of the reef = 220 ft.

2x + 2y = 220

And one length of the rectangular coral = x = 48 ft.

We can solve for the remaining dimension of the rectangular coral this way.

2(48) + 2y = 220

2y = 220 - 96 = 124

y = (124/2) = 62 ft.

Hence, the area of the rectangular coral = xy = 48 × 62 = 2,976 ft²

Hope this Helps!!!