如图，有一张矩形纸片$\mathit{ABCD}$，$\mathit{AB}=8$，$\mathit{AD}=6$．先将矩形纸片$\mathit{ABCD}$折叠，使边$\mathit{AD}$落在边$\mathit{AB}$上，点$D$落在点$E$处，折痕为$\mathit{AF}$；再将$\mathit{\Delta AEF}$沿$\mathit{EF}$翻折，$\mathit{AF}$与$\mathit{BC}$相交于点$G$，则$\mathit{\Delta GCF}$的周长为　　．