\[\boxed{\mathbf{242}\mathbf{.}}\]
\[S_{\text{AMOK}} = 8\ см^{2}.\]
\[1)\ S_{\text{AMO}} = 8\ :2 = 4\ см^{2}.\]
\[2)\ S_{\text{AOB}} = 4 + 4 = 8\ см^{2}.\]
\[3)\ S_{\text{ABD}} = 8 + 4 \cdot 2 = 16\ см^{2}.\]
\[4)\ S_{\text{AOD}} = 4 + 4 = 8\ см^{2}.\]