$ABDE$ is quadrilateral and the intersection of diagonals is $G$. $F$ is on $AE$, such that $2 \cdot |AF| = |FE|$ and $C$ is midpoint of $BD$. Points $F, \; G, \; C$ are collinear and $|FC| = 6 \cdot |GC|$, $|EB| = 5 \cdot |GB|$. Area of the triangle $BCG$ is 1, find the area of $ABDE$.