VTMO 2026 - Grade 6 - Semifinal - SET 8 - Self-study Question 16

Question 16

In square $PQRS$, $M$ and $N$ are the midpoints of $PS$ and $RS$, respectively. Triangle $SMN$ has area $18\text{ cm}^2$. Find the area of triangle $QMN$.

Question illustration

$36\text{ cm}^2$
$48\text{ cm}^2$
$54\text{ cm}^2$
$72\text{ cm}^2$
$90\text{ cm}^2$