👤

Afla in metri dimensiunile unei gradinite cu flori in forma dreptunghiulara cu perimetrul 144m stiind ca latimea este o treime din lungime

Răspuns :

[tex]A=? [/tex]

[tex]P= 144m [/tex]

[tex]P= 2(L+l) [/tex]

[tex]l= \frac{1}{3} *L = \frac{L}{3} [/tex]

[tex]144 m = 2(L+\frac{L}{3}) [/tex]

[tex]\frac{144m}{2} = \frac{3L}{3}+\frac{L}{3} [/tex]

[tex]72m = \frac{4L}{3} [/tex]

[tex]4L= 72*3m [/tex]

[tex]4L= 216m [/tex]

[tex]L=\frac{216}{4}= 54 m [/tex]

[tex]l=\frac{L}{3} = \frac{54m}{3}=18 m [/tex]

[tex]A= L*l = 54m *18m= 972m^2 [/tex]