A physical fitness room consists of a rectangular region with a semicircle at each end. If the perimeter of the room is to be a 200 ft running track,...

I'm not sure what i'm doing wrong but I keep getting 100/pi, even though I am dividing to get the radius

A physical fitness room consists of a rectangular region with a semicircle at each end. If the perimeter of the room is to be a 200 ft runningtrack, what is the radius of the semicircle that will make the rectangular region a maximum?Select one:25fta. *50ftb. *100ftOC.Od. 50 ft