Question 33
The figure below shows a trapezium $ABCD$ in which $AD\parallel BC$ and $BC=3AD$. $F$ is the midpoint of $AB$ and $E$ lies on $BC$ extended so that $BC=3CE$. The line segments $EF$ and $CD$ meet at the point $G$. It is given that the area of triangle $GCE$ is $15$ cm$^2$ and the area of trapezium $ABCD$ is $k$ cm$^2$. Find the value of $k$.
