如图，点$E$是$▱\mathit{ABCD}$的$\mathit{CD}$边的中点，$\mathit{AE}$、$\mathit{BC}$的延长线交于点$F$，$\mathit{CF}=3$，$\mathit{CE}=2$，求$▱\mathit{ABCD}$的周长．