\[\boxed{\mathbf{570\ (570)}.\ Еуроки\ - \ ДЗ\ без\ мороки}\]
\[P = 96\ м;\ \ \ \]
\[a = P\ :8\ \]
\[a = 96\ :8 = 12\ м.\]
\[P = 2 \cdot (a + b) =\]
\[= 2 \cdot (12 + b) = 96\]
\[12 + b = 96\ :2\]
\[b = 48 - 12\]
\[b = 36\ м.\]
\[S = a \cdot b = 12 \cdot 36 = 432\ м^{2}.\]
\[Ответ:\ \ 432\ м^{2}.\]