The Diagram below models the layout at a carnival where GRPCB and E are various locations on the grounds GRPC is a parallelogram

Full question:
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.
Part A: Identify a pair of similar triangles.
Part B: Explain how you know the triangles from Part A are similar.
Part C: Find the distance from B to E and from P to E. Show your work.

Answer and explanation:
Given:
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.
A) The pair of similar triangles are triangle GCB and triangle PBE.
B) The pair of similar triangles are triangle GCB and triangle PBE because their internal angles are the same.
C) According to the similar triangle property:
250/400=BE/450,
Simplify the above expression by cross multiplying:
BE=(450*250)/400;
BE=281.25 ft.
Now, again applying the similar triangle property:
250/400=PE/350,
Simplify the above expression by cross multiplying:
PE=(250*350)/400;
PE=218.75 ft.