# You have 500-foot roll of fencing and a large field. You want to construct a rectangular playground area. What are the dimensions of the largest such yard? What is the largest area?

##### 1 Answer

Sep 26, 2015

#### Answer:

Refer to explanation

#### Explanation:

Let

The area is

finding the first derivative we get

and we have

Hence the largest area is

Obviously the area is a square.