Question

Un teren de joaca are perimetrulde 72m daca se mareste lungimea cu 12m , latimea devine de 3 ori mai mica decat lungimea. Afla lungimea terenului.

Answer 1

P = 2×(L+l) = 72 m
L+12
l = (L+12):3
L+12 = 3×l
L = 3×l-12
2×(3×l-12+l) = 72
6×l-24+2×l = 72
8×l = 72+24
8×l = 96
l = 96:8
l = 12 m ( latimea)
L = 3×12-12 = 36-12 = 24 m (Lungimea)

Verificare:
2×24+2×12 = 48+24 = 72 m