The volume \( V \) of a right rectangular prism can be calculated using the formula:
\[ V = \text{Base Area} \times \text{Height} \]
In this case, we know the volume \( V = 50 \) cubic units and the height \( h = 2 \) units. We can rearrange the formula to find the area of the base \( A \):
\[ A = \frac{V}{h} \]
Substituting the given values:
\[ A = \frac{50}{2} = 25 \text{ square units} \]
Therefore, the area of the base is 25 square units.