1 Attachment(s)

find the the dimensions of x and y

a. Find a formula for the area

b. find a formula for the perimeter

c. find the dimensions x and y that maximize the area given that the perimeter is 100 .

* See attachment for details!!!

I know that this figure is composed of 4 semicircles and one rectangle ; the area of the rectangle is xy , and the area of the semicircle is 1/2pir^2. The perimeter of the rectangle is 2x + 2y , but I'm not sure how to apply the perimeter of the semicircles to this problem. On the other hand , the constraint I should use is in part c ; however , I need to find out a and b before that. I really would appreciate help for this application .Thanks for your time !!!