SEAMO 2027 - Paper D - SET 04 - Self-study Question 18

$ABCD$ is a square of side length 10 cm. $E$ and $F$ are the midpoints of $BC$ and $AB$, respectively. Find the area of $\triangle GDC$ in $\mathrm{cm}^2$, where $G$ is the intersection of $DE$ and $FC$ shown in the original figure.