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 your graphing calculator or desmos to graph it. What is the maximum area of your box, and what value of x gives you that maximum area?
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