You have a flat sheet of cardboard that is 10 inches long and 8
inches wide. You need to make a box that has the maximum area. So
you decide to cut out square corners of the sheet of cardboard, and
fold the cardboard to make a box. Let x represent the side of each
little square you cut out. Write a function for the area of the box
and use graphing calculator to graph it. What is the maximum
area of your box, and what value of x gives you that maximum area?
Be sure to justify your answer.