Question

Gerard bought 100 feet of fence to make a pen for his sheep. He decided to build the fence up

against his barn, as shown in the picture below. He wants to MAXIMIZE the amount of area of the pen.
What should the dimensions be? (HINT: Area = length x width)

Answer 1

Explanation:

P = 2b + a = 100

A = b * a

a = 100 - 2b

A = b(100 - 2b) = 100b - 2b^2

dA/db = 100 - 4b

100 - 4b = 0

b = 25

a = 50