Question

EX5 b)DAU COROANA SI INIMA LA TOATE RASPUNSURILE VOASTRE!Va rog!​

Answer 1

$\it a)\ Fie\ \ell_1,\ \ell_2\ respectiv,\  laturile\ p\breve{a}tratelor.\\ \\ \dfrac{\ell_1}{\ell_2}=\dfrac{3}{2}\ \ \ \ (*)\\ \\ \\ \dfrac{\mathcal{P}_1}{\mathcal{P}_2}=\dfrac{4\ell_1}{4\ell_2} =\dfrac{\ell_1}{\ell_2}=\dfrac{3}{2}\\ \\ \\ \dfrac{\mathcal{A}_1}{\mathcal{A}_2}=\dfrac{\ell_1^2}{\ell_2^2}=\Big(\dfrac{\ell_1}{\ell_2}\Big)^2=\Big(\dfrac{3}{2}\Big)^2=\dfrac{9}{4}$

$\it c)\ \dfrac{\mathcal{A}_1}{\mathcal{A}_2}=\dfrac{\ell_1^2}{\ell_2^2}=\Big(\dfrac{\ell_1}{\ell_2}\Big)^2=\dfrac{36}{25}=\Big(\dfrac{6}{5}\Big)^2 \Rightarrow \dfrac{\ell_1}{\ell_2}=\dfrac{6}{5}\\ \\ \\ \dfrac{\mathcal{P}_1}{\mathcal{P}_2}=\dfrac{4\ell_1}{4\ell_2}=\dfrac{\ell_1}{\ell_2}=\dfrac{6}{5}$