[tex]\displaystyle\bf\\\Delta ABC \sim \Delta MNP\\\\BC=4~cm\\\\NP=6~cm\\\\Coeficientul~de~asemanare~este:~~k=\frac{NP}{BC}=\frac{6}{4}\\\\ P_{ABC}=12~cm\\\\\frac{P_{MNP}}{P_{ABC}}=k=\frac{6}{4}\\\\P_{MNP}=k\times P_{ABC}\\\\P_{MNP}=\frac{6}{4}\times 12\\\\P_{MNP}=\frac{6\times 12}{4}\\\\P_{MNP}=6\times 3\\\\\boxed{\bf P_{MNP}=18~cm}[/tex]
