A city recreation department plans to build a rectangular playground having the area of 3600 square meters and surround it by a fence how can this be done using the least amount of fencing?

Answer 1

The rectangle with the smallest perimeter is a square. In this case each side of the square will be 60 m and will require 240 m of Fencing.

The less square the rectangle is, the larger the perimeter:

Try it with a rectangle 40 x 90. This will require 260 m.

Try 30 x 120: this needs 300 m...