Answer: Option C is the correct answer.
Step-by-step explanation:
Triangle STU is similar to triangle SVW. This means that the ratio of the length of each side of ∆STU to the length of the corresponding side of ∆ SVW is constant. Therefore,
ST/SV = TU/VW = SU/SW
SV = 12 + 18 = 30 in
Therefore,
12/30 = TU/40
Cross multiplying, it becomes
TU × 30 = 12 × 40
30TU = 480
Dividing the left hand side and the right hand side of the equation by 30, it becomes
30TU/30 = 480/30
TU = 16
