A Norman Window Is Constructed by Adjoining a Semicircle to the Top

Multiple Choice

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 24 feet. Round yours answers to two decimal places.

A) x = 6.72 feet and y = 3.36 feet
B) x = 3.36 feet and y = 7.68 feet
C) x = 2.24 feet and y = 9.12 feet
D) x = 5.72 feet and y = 4.65 feet
E) x = 7.72 feet and y = 2.08 feet