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Calculeaza aria unei grädini in forma de dreptunghi care are perimetrul 84 m si lătimea reprezint
20% din lungime.


Răspuns :

Răspuns:

pt.dreptunghi

p=2(L+l)=84

L+l=84/2=42 m (1)

l=20/100*L

L=5l (2)

înlocuim ec.2 in 1

5l+l=42

6l=42

l=7 m

L=5*7=35 m

arie dreptunghi=L*l=7*35=245 m2

[tex]\it \ell=20\%\ din\ L=\dfrac{\ \ 20^{(20}}{100}\cdot L= \dfrac{1}{5}\cdot L=\dfrac{L}{5}\ \ \ \ \ \ (1)\\ \\ \\ \mathcal{P}=2(L+\ell)=84\bigg|_{:2} \Rightarrow L+\ell=42 \stackrel{(1)}{\Longrightarrow} L+\dfrac{L}{5}=42\bigg|_{\cdot5}\Rightarrow \\ \\ \\ \Rightarrow 5L+L=5\cdot42\Rightarrow 6L=5\cdot42\bigg|_{:6}\Rightarrow L=5\cdot7=35\ m\ \ \ \ \ (2)\\ \\ \\ \ell=\dfrac{35}{5}=7\ m\\ \\ \\ \mathcal{A}=L\cdot\ell =35\cdot7=245\ m^2[/tex]