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