I need to determine the radius of the semicircular ends of the room in terms of Y. The perimeter of the room is to be a 200-meter single-lane running track.

As well as finding the radius, I need to find the distance (in terms of Y) of the 2 semicircular parts of the track.

Once those things are done, I have to take the radius and write an equation (in terms of x & y) for the distance traveled in one lap around the track.

THEN I have to solve for Y. I then take that answer and write the area A of the rectangular region as a function of X.

And FINALLY, I have to figure out t he dimensions that will produce a maximum area of the rectangle (x & y).

I have absolutely no idea how to do any of this. Can't find this crap anywhere in the damn book.