1.
[tex]\it \Delta ABC\sim \Delta MNP;\ \ \dfrac{AB}{MN}=\dfrac{2}{5}=k\ \ (raportul\ de\ asem\breve a nare)\\ \\ \dfrac{\mathcal{P}_{ABC}}{\mathcal{P}_{MNP}}=k \Rightarrow \dfrac{12}{\mathcal{P}_{MNP}}=\dfrac{^{6)}2}{\ \ 5} \Rightarrow \dfrac{12}{\mathcal{P}_{MNP}}=\dfrac{12}{30} \Rightarrow\mathcal{P}_{MNP}=30\ cm[/tex]
2.
[tex]\it \Delta ABC\sim \Delta MNP;\ \ \dfrac{AB}{MN}=\dfrac{1}{2}=k\ \ (raportul\ de\ asem\breve a nare)\\ \\ \dfrac{\mathcal{A}_{ABC}}{\mathcal{A}_{MNP}}=k ^2\Rightarrow \dfrac{8}{\mathcal{A}_{MNP}}=\dfrac{^{8)}1}{\ \ 4} \Rightarrow \dfrac{8}{\mathcal{A}_{MNP}}=\dfrac{8}{32} \Rightarrow\mathcal{A}_{MNP}=32\ cm^2[/tex]
