# A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. 548 feet of fencing is used. How do you find the dimensions of the playground that maximize the total enclosed area?

##### 1 Answer

Oct 23, 2015

#### Answer:

#### Explanation:

Let

Assume the dividing fence is parallel to the width.

Total fencing required

Area of entire playground

Maximum area will occur at a point where the derivative of the area is equal to zero.

Substituting

gives