Question 17
The given diagram shows a rectangle $ABCD$ being folded along a straight segment $AE$ with $E$ on $CD$, so that the new position of $D$ is on $AB$. Triangle $ADE$ is then folded along $DE$ so that the new position of $A$ is on the extension of $DB$. The new position of $AE$ intersects $BC$ at $F$. If $AB=10$ centimetres and $AD=6$ centimetres, what is the area, in square centimetres, of triangle $ABF$?
