Question

Un triunghi echilateral si un pătrat au fie fiecare perimetrul 24cm.Raportul ariilor lor este egal cu ..?
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Answer 1

[tex]P_{\Delta}=3l\\ 3l=24=\ \textgreater \ l=8cm\\ A_{\Delta}=\frac{l^2\sqrt3}{4}\\ A_{\Delta}=\frac{64\sqrt3}{4}=\ \textgreater \ A_{\Delta}=16\sqrt3\\ P_{\square}=4l\\ 4l=24=\ \textgreater \ l=6cm\\ A_{\square}=l^2=\ \textgreater \ A_{\square}=36cm\\ \frac{A_{\Delta}}{A_{\square}}=\frac{16\sqrt3}{36}=\frac{4\sqrt3}{9} [/tex]