Question

Raportul ariilor a doua pătrați este 1/4. Calculați raportul perimetrelor patratelor respective VA ROG REPEDE​

Answer 1

Explicație pas cu pas:

$\dfrac{\mathcal{A}_{1} }{\mathcal{A}_{2} } = \dfrac{ {(\ell_{1})}^{2}  }{ {(\ell_{2})}^{2}  } = { \bigg(\dfrac{\ell_{1}}{\ell_{2}} \bigg)}^{2} = \dfrac{1}{4}$

${ \bigg(\dfrac{\ell_{1}}{\ell_{2}} \bigg)}^{2} = { \bigg( \dfrac{1}{2} \bigg)}^{2} \implies \dfrac{\ell_{1}}{\ell_{2}} = \dfrac{1}{2}$

$\dfrac{\mathcal{P}_{1}}{\mathcal{P}_{2}} = \dfrac{4\ell_{1}}{4\ell_{2}} = \dfrac{\ell_{1}}{\ell_{2}}$

$\implies \dfrac{\mathcal{P}_{1}}{\mathcal{P}_{2}} = \dfrac{1}{2}$