Ta có: \(CG=\dfrac{1}{2}CB\)
=>\(S_{AGC}=\dfrac{1}{2}\cdot S_{ABC}=90\left(cm^2\right)\)
\(AD=\dfrac{1}{4}AC\)
=>\(S_{ADG}=\dfrac{1}{4}\cdot S_{AGC}=22,5\left(cm^2\right)\)
Ta có: \(S_{ADG}+S_{DGC}=S_{AGC}\)
=>\(S_{GDC}=90-22,5=67,5\left(cm^2\right)\)