1. The problem statement, all variables and given/known data Heres a picture that might help http://img132.imageshack.us/img132/3809/semirectanglexf6.png [Broken] A family wants to create that shape for basketball with duct tape, the family only has 20 ft of duct tape. The family decides they want to maximize the area of the rectangle. What dimensions would give the rectangle it's maximum area? 2. Relevant equations H=height of rectangle X=diameter of the semicircle,also width of the rectangle Perimeteter=20 20=2H+2X+(1/2)(X*PI) 3. The attempt at a solution Anything to do from here I dont get. I kind of understand how to maximize the whole thing, but just the rectangle confuses me. Hope you can help!