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VTMO 2026 - Grade 7 - Semifinal - SET 1 - Self-study Question 9

VTMO · VTMO 2026 - Grade 7 - Semifinal - SET 1 - Self-study

Question 9

In triangle $ABC$, point $E$ lies on $BC$ with $BE=2EC$, and point $M$ lies on $AE$ with $ME=3MA$. Line $BM$ meets $AC$ at $D$. Given that triangle $MEC$ has area $297\text{ cm}^2$, find the area of triangle $MAD$, in $\text{cm}^2$.

Question illustration
  1. $17$
  2. $18$
  3. $19$
  4. $20$
  5. $21$