To find the area of the base of the right rectangular prism, we can use the formula for the volume of a rectangular prism:
\[ \text{Volume} = \text{Base Area} \times \text{Height} \]
We know the volume is 50 cubic feet and the height is 4 feet. We can rearrange the formula to find the base area:
\[ \text{Base Area} = \frac{\text{Volume}}{\text{Height}} \]
Substituting the known values:
\[ \text{Base Area} = \frac{50 , \text{cubic feet}}{4 , \text{feet}} = 12.5 , \text{square feet} \]
So the area of the base is 12.5 ft².