Question

Three of the sides will require fencing and the fourth wall already exists. If the farmer has 164 feet of fencing, what is the largest area the farmer can enclose?​

Answer 1

2w + l = 164

l = 164 - 2w

A = w(164 - 2w) = 164w - 2w²

A' = 164 - 4w = 0

4w = 164

w = 41, l = 82

A = 82(41) = 3,362 square feet