[tex]\it Not\breve am\ dimensiunile\ dreptunghiului\ cu \ \ \ell=2n,\ \ L=2n+2,\ \ n\in\mathbb{N}^*\ .\\ \\ \mathcal{P}=2(L+\ell) \Rightarrow 36=2(2n+2+2n) \Rightarrow 36=2(4n+2)\bigg|_{:2} \Rightarrow 18=4n+2\bigg|_{-2} \Rightarrow\\ \\ \\ \Rightarrow16=4n\bigg|_{:4} \Rightarrow n=4\\ \\ \\ L=2n+2=2\cdot4+2=10\ cm;\ \ \ \ell=2n=2\cdot4=8\ cm\\ \\ \\ \mathcal{A}=L\cdot \ell =10\cdot8=80\ cm^2[/tex]
