IMC 2002 — Keystage 3 (IWYMIC) — individual Question 6

$ADEN$ is a square. $BMDF$ is a square with $F$ on $AD$ and $M$ on the extension of $ED$. Let $C=AD\cap BE$. If triangle $CDE$ has area $6$ cm$^2$, find the area of triangle $ABC$ in cm$^2$.