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.

Question

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. - - - - - --------- ! ! ^ !<-x/2->! y --------- <---x--->

drwls · Answer

A similar problem (with different perimeter) was solved here: http://answers.yahoo.com/question/index?qid=20100312091756AAxFWwi The method is the same.