Girth refers to how thick or wide a plant's stem or root is, which is different from how tall or long it grows. Matching each meristem type to the direction of growth it produces will identify the one responsible for increasing girth.
Since only one of these meristem types adds tissue in a direction that widens the stem or root rather than lengthening it, that is the one responsible for increasing girth.
Therefore, the correct answer is Lateral meristem.