\[\boxed{\mathbf{1304.еуроки - ответы\ на\ пятёрку}}\]
\[\mathbf{Дано:}\]
\[\mathrm{\Delta}ABC\sim\mathrm{\Delta}A_{1}B_{1}C_{1};\]
\[\frac{\text{BC}}{B_{1}C_{1}} = k;\]
\[BC = 1,4\ м;\]
\[B_{1}C_{1} = 56\ см.\]
\[\mathbf{Найти:}\]
\[\frac{P_{\text{ABC}}}{P_{A_{1}B_{1}C_{1}}} - ?\]
\[\mathbf{Решение.}\]
\[1)\frac{\text{BC}}{B_{1}C_{1}} = \frac{140}{56} = \frac{5}{2};\]
\[k = 2,5.\]
\[2)\ \mathrm{\Delta}ABC\sim\mathrm{\Delta}A_{1}B_{1}C_{1}\ (по\ условию):\]
\[\frac{P_{\text{ABC}}}{P_{A_{1}B_{1}C_{1}}} = k\]
\[\frac{P_{\text{ABC}}}{P_{A_{1}B_{1}C_{1}}} = \frac{5}{2}.\]
\[\mathbf{Ответ:}5\ :2\mathbf{.}\]