Let `DeltaABC` be a triangle with base AB. Let D be the mid-point of AB and P be the mid-point of CD. Extend AB in both direction. Assuming A to be on the left of B, let X be a point on BA extended further left such that XA= AD. Similarly, let Y be a point on AB extended further right such that BY= BD. Let BX cut AC at Q and PY cut BC at R. Let the sides of `angleABC` be AC=13, BC=14 andAB=15. What is the area of the pentagon PQABR?

Answer

56