Question 187
In the figure to the side, $ABCD$ is a rectangle and $ABE$ and $CDF$ are right-angled triangles. The area of the triangle $ABE$ is $150~\mathrm{cm}^2$ and the segments $AE$ and $DF$ measure, respectively, $15~\mathrm{cm}$ and $24~\mathrm{cm}$. How long is segment $CF$?

