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VTMO 2026 - Grade 8 - Semifinal - SET 3 - Self-study Question 2

VTMO · VTMO 2026 - Grade 8 - Semifinal - SET 3 - Self-study

Question 2

Parallelogram $ABCD$ has area $144\text{ cm}^2$. Point $M$ lies on $AB$. As shown, $O=AC\cap BD$, $E=AC\cap DM$ and $F=BD\cap CM$. The two hatched triangles $ADE$ and $BCF$ have total area $48\text{ cm}^2$. Find the area of quadrilateral $MFOE$.

Question illustration
  1. $36$ cm²
  2. $18$ cm²
  3. $12$ cm²
  4. $9$ cm²
  5. $24$ cm²