Norman Window Is Constructed by Adjoining a Semicircle to the Top

question 91

Multiple Choice

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.

• A) \(x = \frac { 76 } { 2 + \pi }\) feet; \(y = \frac { 38 } { 2 + \pi }\) feet
• B) \(x = \frac { 114 } { 2 + \pi }\) feet; \(y = \frac { 38 } { 2 + \pi }\) feet
• C) \(x = \frac { 38 } { 4 + \pi }\) feet; \(y = \frac { 76 } { 4 + \pi }\) feet
• D) \(x = \frac { 76 } { 4 + \pi }\) feet; \(y = \frac { 38 } { 4 + \pi }\) feet
• E) \(x = \frac { 38 } { 4 + \pi }\) feet; \(y = \frac { 114 } { 4 + \pi }\) feet

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