VTMO 2026 - Grade 8 - Semifinal - SET 2 - Self-study Question 9

Question 9

Square $ABCD$ has side $12$ cm. Points $E,F$ are the midpoints of $CD,DA$, respectively, and $G=BD\cap EF$. Find the area of quadrilateral $BCEG$.

Question illustration

$36\text{ cm}^2$
$54\text{ cm}^2$
$63\text{ cm}^2$
$72\text{ cm}^2$
$108\text{ cm}^2$