Question

A rectangular pen is constructed using one side of the barn as a side of the pen. you have 100 feet of fencing for the other three sides. find the dimensions that will yield the greatest size area inside the pen. what is the maximum area inside the pen?

Answer 1

Hello,
Let's assume a the width and b the length.
2a+b=100
Area=a*b=a(100-2a)=-2(a²-2*25+625)+1250=1250-2(a-25)² is max if a=25 and b=100-2*25=50Max Area=1250