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 38 feet. x = 76 2+π feet, y = 38 2+π feet x = 114 2+π feet y = 38 2+π feet x = 38 4+π feet y = 76 4+π feet x = 76 4+π feet y = 38 4+π feet x = 38 4+π feet y = 114 4+π feet