Step 1: What does length mean here.
Increase in length means the plant is getting taller or the root is going deeper. This is growth along the up and down line.
Step 2: Find the tissue that does this.
The apical meristem sits right at the tips of the shoot and the root. When these tip cells divide, the plant stretches in length.
Step 3: Rule out the others.
Lateral meristem, secondary meristem and cork cambium all add width or girth, not length. So they do not fit.
Step 4: Final choice.
Length comes from the apical meristem, which is option 3.
\[ \boxed{\text{Apical meristem}} \]