IOQM 2021 SOLUTION || Question 19 || IOQM 2021 EXAM || IOQM EXPLANATION ||

Let ABCD be a parallelogram . Let E and F be midpoints of AB and BC respectively. The lines EC and F D intersect in P and form four triangles APB, BPC,CPD and DPA. If the area of the parallelogram is 100 sq. units, what is the maximum area in sq. units of a triangle among these four triangles?
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