The diagram below models the layout at a carnival where g, r, p, c, b, and e are various locations on the grounds. grpc is a parallelogram.

parallelogram grpc with point b between c and p forming triangle gcb where gc equals 400 ft, cb equals 350 ft, and gb equals 450 ft, point e is outside parallelogram and segments be and pe form triangle bpe where bp equals 250 ft.

part a: identify a pair of similar triangles. (2 points)

part b: explain how you know the triangles from part a are similar. (4 points)

part c: find the distance from b to e and from p to e. show your work. (4 points)