SEAMO 2027 - Paper C - SET 09 - Self-study Question 20

Square $ABCD$ has area $24\text{ cm}^2$. Point $E$ lies on $AB$ with $AE:EB=4:3$. Points $F,G,H,I$ are the midpoints of $DE,CF,CE,EG$, respectively. Find the area of triangle $GHI$ in $\text{cm}^2$.