A similar problem (with different perimeter) was solved here:
http://answers.yahoo.com/question/index?qid=20100312091756AAxFWwi
The method is the same.
Max area - A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window. Find the dimensions of a Norman window of maximum area if the total perimeter is 16 feet.
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! ! ^
!<-x/2->! y
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<---x--->
1 answer