Maximizing Area

Rectangular Gardens Example 1

About this Laboratory

In this laboratory, we will explore the concept of maximizing the area when a fixed amount of material is given to use for the perimeter. In the first example, you are asked to explore the dimensions needed for the border of a rectangular garden so that the area of the garden is maximized. In the second problem, you are asked to explore the dimensions needed if the rectangular garden is bordered on one side by a river. Remember that all graphical solutions are only approximations.