smc

In $△ABC$ with $\overline{AB}=\overline{AC}=3.6$, a point $D$ is taken on $AB$ at a distance $1.2$ from $A$. Point $D$ is joined to $E$ in the prolongation of $AC$ so that $△AED$ is equal in area to $ABC$. Then $\overline{AE}$ is: