You are planning to make an open rectangular box from an 8-in .- by15-in. piece of cardboard by cutting congruent squares from the corners and folding up the sides. What are the dimensions of the box of largest volume you can make this way, and what is its volume?11. Designing a poster You are designing a rectangular poster to contain 50 in2 of printing with a 4-in. margin at the top and bottom and a 2-in. margin at each side. What overall dimensions will minimize the amount of paper used?1. Minimizing perimeter What is the smallest perimeter possible for a rectangle whose area is 16 in2, and what are its dimensions?