Exercise 5.8.12 Find the dimensions of the rectangle of largest area having xed perimeter 100. Exercise 5.8.14 A box with square base and no top is to hold (.1 volume 100. Find the dimensions of the box that requires the least material for the ve sides. Aisond the ratio of height to side of the base. Exercise 5.8.17 You have 100 feet offence to make a rectangular play area alongside the wall of your house. The wall of the house bounds one side. What is the largest size possible (in square feet) for the play area ? Exercise 5.8.22 For a cylinder with surface area 50, including the top and the bottom, nd the ratio of height to base radius that maximizes the volume. Exercise 5.8.28 A piece of cardboard is 1 meter by 1/2 meter: A square is to be cut from each corner and the sides folded up to make an open-top box. What are the dimensions of the box with maximum possible volume