What is the area of $OEAF$ in $ABC$ triangle in the following diagram?

Question

The area of $ABC$ and $OBC$ triangle is $120$ and $24$ respectively. $BC=16$, $EF=8$. Find out the area of $OEAF$ quadrilateral.

Source: Bangladesh Math Olympiad 2014 Junior Category.

I can find the height of $ABC$ and $OBC$ from the give information. But I can't get the area of $AEOF$. Can anyone help me with a hint?

Answer 1

A quick check with GeoGebra shows that no definite answer is possible: there are several triangles satisfying the given data but with different quadrilateral area.