7. A box is to be formed by cutting square pieces out of the corner of a rectangular piece of a 4" by 6" note card as shown below. The sides will then be folded up to make the box. I X Part 1: (4 points) A. Express the new length of the long side of the note card, once the two corners are removed. B. Express the new width of the short side of the note card, once the two corners are removed. Part II: Write a function A(x) that defines the area of the bottom of the box, once the corners are removed and the sides are folded up. (4 points) Part III: (8 points) A. Suppose you want the bottom of your box to cover a total area of 16 in2. Set up an equation in standard form that will help you find the size (x) of the corner you need to cut in order for your box to have this area. (8 points) B. Solve this equation and take note of any extraneous solutions. Explain why the answer is extraneous, and clearly state the correct answer. (8 points)