\[\boxed{\mathbf{738}\mathbf{\ (567)}.\ Еуроки\ - \ ДЗ\ без\ мороки}\]
\[a = 16\ см;\ \ \]
\[b = a + 6 = 16 + 6 = 22\ см.\]
\[S = a \cdot b = 16 \cdot 22 = 352\ см^{2}.\]
\[Ответ:352\ см^{2}.\]