To find the area of the base of a right rectangular prism, you can use the formula for volume:
\[ \text{Volume} = \text{Base Area} \times \text{Height} \]
In this case, you know the volume is 50 cubic units and the height is 2 units. You can rearrange the formula to solve for the base area:
\[ \text{Base Area} = \frac{\text{Volume}}{\text{Height}} \]
Substituting the known values in:
\[ \text{Base Area} = \frac{50 \text{ cubic units}}{2 \text{ units}} = 25 \text{ square units} \]
Therefore, the area of the base is 25 square units.