Question

A farmer has 25 yards of fencing to make a pig pen. He is going to use the side of the barn as one of the sides of the fence, so he only needs to fence 3 sides. What should be the dimensions of the fence in order to maximize the area?

Answer 1

a square gives the largest area

25 yards of fence = 25*3 = 75 feet

75/3 = 25 feet

so the dimension should be 25 feet by 25 feet

the area would be 25^2 = 625 square feet