## Task A-1.6.

Let $A B C D$ be a rectangle such that $|A B|:|A D|=2: 3$ and let point $E$ be on side $\overline{A D}$ such that $|A E|=|A B|$. Point $F$ is chosen on ray $A B$ so that triangle $A F E$ and quadrilateral $C D E F$ have equal areas. Determine the ratio $|A B|:|B F|$.