Question

Calculati perimetrul dreptunghiului ABCD in care AB = 0,75 x BC si AC = 10 cm

Answer 1

AC^2 = AB^2 + BC^2
10^2 = (75 BC/100)^2+BC^2
100= (3BC/4)^2 +BC^2
100= 9BC^2/16+BC^2
100= 9BC^2/16 + 16BC^2/16
100=25BC^2/16
1600= 25BC^2
64=BC^2
8=BC

Stim ca AB = 75BC/100 =3BC/4 =3•8/4=6

Perimetrul =(AB+BC)•2=(6+8)•2= 14•2=28 cm