To find the area of the base of a right rectangular prism, you can use the formula for the volume of the prism:
\[ \text{Volume} = \text{Base Area} \times \text{Height} \]
We can rearrange the formula to find the area of the base:
\[ \text{Base Area} = \frac{\text{Volume}}{\text{Height}} \]
Given that the volume is 50 cubic units and the height is 2 units, we can substitute these values into the equation:
\[ \text{Base Area} = \frac{50}{2} = 25 \text{ square units} \]
Thus, the area of the base is 25 square units.