1. You have a 14 in. by 14 in. square piece of cardboard. You are going to make an open box from the cardboard by cutting congruent squares from each of the four corners of the cardboard, and then folding up the resulting flaps. (a) Draw one or more diagrams of the scenario in the problem. Hint: You may want to have separate diagrams for the original square, the cardboard left after the squares are cut, and the folded box. If you get stuck, try making an open box from a square of paper. (b) Let x represent the side length of the four squares cut from the cardboard. Determine the area of the base of the box as a function of x. (You may want to start by labeling x in your diagram(s) in the previous part.)