Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter: 12 meters length :]x m width :]x m A rectangular poster is to contain 548 square inches of print. The margins at the top and bottom of the poster are to be 2 inches, and the margins on the left and right are to be 1 inch. What should the dimensions of the poster be so that the least amount of poster is used? in (smalier value) X in (larger value) X A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window (see figure). Find the dimensions of a Norman window of maximum area if the total perimeter is 18 feet. X= ft y= ft A wooden beam has a rectangular cross section of height h and width w (see figure on the next page)' The strength 5 of the beam is directly proportional to the width and the square of the height. What are the dimensions of the strongest beam that can be cut from a round log of diameter 20 inches? (Hint: S = khzw, where k is the proportionality constant.) w: in X