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Perimetrul unui derptunghi este 33 pe 6 . Aflati aria lui stiind ca raportul laturilor este 8 pe 3 . AJUTORRRRRR!!!!!!!!!!!!!!! dau coroana

Răspuns :

L/l=8/3=>l=3L/8
Formule> P=2*(L+l), A=L*l

33/6=2*(L+3L/8)=>11/2=11L/4=>(11L*4)/(4*11)=(4*11)/(11*2)=>L=4/2=>L=2
l=3L/8=>l=(3*2)/8=>l=6/8=>l=3/4

Aria va fi> >  A=L*l=>A= 2* 3/4=>A=3/2
[tex] \frac{33}{6}=2* \frac{L+3l}{8}=\ \textgreater \ \frac{11}{2}= \frac{11L}{4}=\ \textgreater \ \frac{11L*4}{4*11} =\ \textgreater \ L= \frac{4}{2}=\ \textgreater \ L=2 \\ l= \frac{3L}{8}=\ \textgreater \ l= \frac{3*2}{8}=\ \textgreater \ l= \frac{6}{8}=\ \textgreater \ l= \frac{3}{4} [/tex]