Polygon abcde is dilated by a scale factor of 3 with the center of dilation at the origin to create polygon a'b'c'd'e'. if the endpoints of bc are b(3, 5) and c(5, 10), what is the slope of b'c'?

This size running track is usually called a 400 meter track. however if a person ran as close to the inside as possible on the track they would run less than 400 meters in one lap. how far away from the inside border would someone have to run to make one lap equal exactly 400 meters