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?
A square of
Upon investigation you will discover that the greatest area for any particular circumference is that of a square.
So the length of one side is
Lets the lengths of the sides be
However, we need to write
using part of the proces of completing the square we have:
Substitute this back into