A school wishes to create a track in the shape of a loop for its students. More precisely, this trackis in the shape of two parallel straight...

A school wishes to create a track in the shape of a loop for its students. More precisely, this trackis in the shape of two parallel straight segments that are connected by semicircles at each end. The track is tobe a total of 400 meters in length. The region between the two straight segments of track forms rectangulararea. This area is to become a grass field. What is the biggest possible area this grass field can be, given that:(a) Each straight segment of the track can be at most 150 meters in length.