Question

Raportul perimetrelor a doua patrate este 2/3.Det. raportul ariilor lor

Answer 1

   
[tex]\displaystyle \\ \frac{P_1}{P_2} = \frac{4l_1}{4l_2} = \frac{l_1}{l_2} \\ \\ \Longrightarrow~~\text{Raportul perimetrelor patratelor = raportul laturilor patratelor.} \\ \\ \frac{A_1}{A_2}= \frac{l_1^2}{l_2^2} = \left(\frac{l_1}{l_2}\right)^2 = \left(\frac{P_1}{P_2} \right)^2 = \left(\frac{2}{3} \right)^2 = \boxed{\frac{4}{9}} \\ \\ \Longrightarrow~~\text{Raportul ariilor patratelor = raportul patratelor perimetrelor lor.} [/tex]