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MathNet 2019-part-07 — 184 problems (EN–VI) Question 152

Math Olympiad Vault · MathNet 2019-part-07 — 184 problems (EN–VI)

Question 152

In the figure below, parallelograms $ABCD$ and $BFEC$ have areas $1234~\mathrm{cm}^2$ and $2804~\mathrm{cm}^2$, respectively. Points $M$ and $N$ are chosen on sides $AD$ and $FE$, respectively, so that segment $MN$ passes through $B$. Find the area of $\triangle MNC$.
Question illustration