Question

Daca puteti toate daca nu macar unul Multumesc! ​

Answer 1

$\it a)\ L=2\ell\ \ \ \ \ (1)\\ \\ \mathcal{P}=12 \Rightarrow 2(L+\ell)+12|_{:2} \Rightarrow L+\ell=6\ \ \ \ \ \ (2)\\ \\ (1),\ (2) \Rightarrow 2\ell+\ell=6 \Rightarrow 3\ell=6|_{:3} \Rightarrow \ell=2\ cm\ \ \ \ \ (3)\\ \\ (1),\ (3) \Rightarrow L=2\cdot2 \Rightarrow L=4\ cm$

$\it b)\ \mathcal{P}=2(L+\ell)=100|_{:2} \Rightarrow L+\ell=50\ \ \ \ \ (*)\\ \\ \{L,\ \ell\}\ d.\ p.\ \{3,\ 2\} \Rightarrow \dfrac{L}{3}=\dfrac{\ell}{2}=\dfrac{L+\ell}{3+2}\ \stackrel{(*)}{=} \ \dfrac{50}{5}=10 \Rightarrow \begin{cases} \it L=3\cdot10=30\ cm\\ \\ \it \ell=2\cdot10=20\ cm\end{cases}$