\(AN=\dfrac{2}{3}AC\)
=>\(S_{ABN}=\dfrac{2}{3}\text{x}S_{ABC}\)
\(AM=\dfrac{2}{3}AB\)
=>\(S_{AMN}=\dfrac{2}{3}\text{x}S_{ABN}=\dfrac{4}{9}\text{x}S_{ABC}\)
=>\(S_{ABC}=S_{AMN}:\dfrac{4}{9}=64:\dfrac{4}{9}=64\text{x}\dfrac{9}{4}=144\left(cm^2\right)\)