1. **State the problem:** We need to find the area of a parallelogram with a base of 3 meters and a vertical height of 2 meters. 2. **Formula:** The area $A$ of a parallelogram is given by the formula: $$A = \text{base} \times \text{height}$$ where the height is the perpendicular distance from the base to the opposite side. 3. **Apply the values:** Here, the base $b = 3$ m and the height $h = 2$ m. 4. **Calculate the area:** $$A = 3 \times 2 = 6$$ 5. **Conclusion:** The area of the parallelogram is $6$ square meters.