Happy New Year countdown again?
Let there be a triangle ABC such that AM and AN trisects the side BC. AP bisects AB at P and AQ bisects AC at Q. MC intersects BN at Z. AB intersects MC and BN at X and Y respectively and AB intersects BN and MC at D and E respectively. What is the area of
AXZD if the area of triangle ABC is 2016?
The answer is 288.
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