The volume \( V \) of a rectangular prism can be calculated using the formula:
\[ V = \text{Base Area} \times \text{Height} \]
In this case, we are given the volume \( V = 50 \) cubic feet and the height \( h = 4 \) feet. We need to find the base area \( A \).
We can rearrange the formula to solve for the base area:
\[ A = \frac{V}{h} \]
Substituting the given values:
\[ A = \frac{50 \text{ ft}^3}{4 \text{ ft}} = 12.5 \text{ ft}^2 \]
So, the area of the base is \( 12.5 \text{ ft}^2 \).
The correct answer is 12.5 ft².