IMC 2011 — Keystage 3 (IWYMIC) — individual Question 4

$B,E$ lie on $AD,AC$ of triangle $ACD$, and $BC,DE$ intersect at $F$. Triangles $ABC,AED$ are congruent, with $AB=AE=1$ cm, $AC=AD=3$ cm. Find the area ratio $[ABFE]:[ADC]$.