Question

Un dreptunghi are perimetrul 312 m. Afla lungimea si latimea,stiind ca latimea este 1/2 din lungime.
1/2 este 1 pe 2. O doime.
Ajutor!!
Dau multe puncte.

Answer 1

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Answer 2

   
[tex]\displaystyle\\ P = 312~m\\ L + l + L + l =312~m\\ 2(L + l)= 312~m\\\\ l = \frac{1}{2} \times L = \frac{L}{2}\\\\ 2\Big(L + \frac{L}{2} \Big)= 312~m\\\\ 2L + 2\times \frac{L}{2} = 312~m\\\\ 2L + L = 312~m\\\\ 3L = 312~m\\\\ L = \frac{312~m}{3} = \boxed{104~m}\\\\ l = \frac{L}{2} = \frac{104~m}{2} =\boxed{52~m} \\\\ \text{Verificare:}\\\\ P = 2L + 2l = 2\times 104 + 2\times 52 = 208 + 104 = \underline{\bold{312 ~m}} [/tex]