Alex wants to create a rectangular fence for his sheep that is 20 yd. by 15 yd. Inside the same area, Alex will also build a small rectangular fenced garden that is 8 yd. by 4 yd. If the sheep are not allowed in the smaller garden, how many square yards is the fenced area that the sheep will be allowed to roam in?(1 point)

Question

Responses

300 sq. yd.
300 sq. yd.

332 sq. yd.
332 sq. yd.

32 sq. yd.
32 sq. yd.

268 sq. yd.

Answer 1

To find the area that the sheep can roam in, we first need to calculate the total area of the sheep's rectangular fence and then subtract the area of the garden that is fenced off.

1. Calculate the area of the sheep's fenced area:

   • The dimensions of the sheep's fence are 20 yards by 15 yards.
   • Area = length × width = 20 yd × 15 yd = 300 square yards.

2. Calculate the area of the garden:

   • The dimensions of the garden are 8 yards by 4 yards.
   • Area = length × width = 8 yd × 4 yd = 32 square yards.

3. Calculate the area available for the sheep:

   • Area available for sheep = Area of sheep's fence - Area of garden = 300 sq. yd - 32 sq. yd = 268 square yards.

So, the area that the sheep will be allowed to roam in is 268 sq. yd.