# Liana has 800 yards of fencing to enclose a rectangular area. How do you maximize the area?

##### 1 Answer

Feb 19, 2016

Area can be maximized by fencing a square of side

#### Explanation:

Given perimeter of a rectangle, square has the maximum area (proof given below).

Let

As first derivative is

Hence if perimeter is 800 yards and it is a square, one side would be

Hence area can be maximized by fencing a square of side