<image>As shown in the figure, rectangle \(ABCD\) has its side \(AD\) folded along the crease \(AE\), causing point \(D\) to land on \(BC\) at point \(F\). Given that \(AB = 6\) and the area of \(\triangle ABF\) is \(24\), what is the length of \(FC\) 
(A) \(1\)
(B) \(2\)
(C) \(3\)
(D) \(4\)