We Are Piglet Farms wants to create a pen using their barn for one of the sides as shown below. The farms have a total of 600 feet of fence. What is the maximum area that can be enclosed?

Answer 1

Answer 2

Let x be the length of the fence parallel to the side of the barn. Let y be the length of the fence perpendicular to x and the barn.

x+2y=600 --> y=300-x/2

Area, A = xy

A(x) = 300x-x²/2

A'(x) = 300-x

300-x=0

x = 300

y= 300-300/2 = 150

Maximum Area = A = xy = 300(150) = 45000 ft²