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APMOPS 2016 Question 17

APMOPS · APMOPS 2016

Question 17

In the figure below, not drawn to scale, the area of triangle $ABC$ is 1 cm$^2$. The points $D,E,F$ are on $BC,CA,AB$ produced such that $BD=2BC$, $CE=3CA$ and $AF=4AB$. Find the area of triangle $DEF$.

Question illustration