a rectangular parking lot is being constructed for your college football stadium.

Question

if the parking lot is bordered on one side by a street and there are 750 yards of fencing available for the other three sides, find the length and the width of the lot that will maximize the area. what is the largest area that can be enclosed?

Answer 1

Rachel,

 

For any given perimeter, a square is the rectangular shape that maximizes the area.

 

So, each side of the parking lot will be the same length and since we only need 3 sides fenced, then divide the total available fencing by 3:

 

750/3 = 250ft

 

The length is 250ft and the width is 250ft

 

The area is:

 

l * w = 250 * 250 = 62500ft²