Answer:
D
Step-by-step explanation:
As we can see, triangle EFG and triangle RKZ is two congruent triangles.
We have: EF = 4, RK = 9, as RK is equivalent side of EF
=> EF/RK = 4/9 = R
According to the rule, the rate (a side of triangle EFG/ equivalent side in RKZ) is constant and does not change.
=> We have: EF/RK = FG/KZ = EG/RZ = 4/9
=> EF = 4/9 RK; FG = 4/9 KZ; EG = 4/9 RZ
=> (EF + FG + EG) = 4/9 x (RK + KZ + RZ)
=> Perimeter EFG = 4/9 x Perimeter RKZ
=> 48 = 4/9 x Perimeter RKZ
=> Perimeter RKZ = 48/ (4/9) = 108
So Perimeter of triangle RKZ is 108
=> Correct answer: D
