[tex]\text{Voi considera ca AB/DE=1,5} \\
\text{Raportul perimetrelor a doua triunghiuri asemenea = raporul de } \\
\text{asemanare a celor 2 triunghiuri asemenea = raportul a doua } \\
\text{laturi corespondente}. \\
a) \displaystyle \\
\frac{P_{\Delta ABC}}{P_{\Delta DE F}}= \frac{AB}{DE} \\ \\
\frac{P_{\Delta ABC}}{22}= 1,5 \\ \\
P_{\Delta ABC} = 22 \times 1,5 = \boxed{33\;cm}
[/tex]
[tex]b) \displaystyle \\
\frac{P_{\Delta ABC}}{P_{\Delta DE F}}= \sqrt{5} \\ \\
k = raportul ~de ~asemanare = \frac{P_{\Delta ABC}}{P_{\Delta DE F}}= \boxed{\sqrt{5}}[/tex]
