\[\boxed{\mathbf{569\ (569)}.\ Еуроки\ - \ ДЗ\ без\ мороки}\]
\(P = 162\ дм;\ \ a = 47\ дм:\)
\[P = 2 \cdot (a + b) = 2 \cdot (47 + b) =\]
\[= 162\]
\[47 + b = 162\ :2\]
\[b = 81 - 47 = 34\ (дм) -\]
\[ширина.\]
\[S = a \cdot b = 47 \cdot 34 = 1598\ дм^{2}.\]
\[Ответ:1598\ дм^{2}.\]
\[\boxed{\mathbf{569}.\ }\]
\[106 \rightarrow ост.6;\]
\[202 \rightarrow ост.\ 2;\]
\[421 \rightarrow ост.\ 1;\]
\[836 \rightarrow ост.\ 16;\]
\[2764 \rightarrow ост.\ 4;\]
\[562\ 400 \rightarrow ост.\ 0.\]