To find the area of the base of a right rectangular prism (box), we can use the formula for the volume of a rectangular prism:
\[ \text{Volume} = \text{Base Area} \times \text{Height} \]
We are given the volume (50 cubic feet) and the height (4 feet). To find the base area, we can rearrange the formula:
\[ \text{Base Area} = \frac{\text{Volume}}{\text{Height}} \]
Substituting in the values:
\[ \text{Base Area} = \frac{50 \text{ ft}^3}{4 \text{ ft}} = 12.5 \text{ ft}^2 \]
Therefore, the area of the base is 12.5 ft².
The correct response is:
12.5 ft²