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