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To find the area of the base of the rectangular prism, we will use the formula for the volume of a rectangular prism. The formula is:
Volume = length x width x height
We are given that the volume is 50 cubic feet and the height is 4 feet. Let's assume the length is x and the width is y.
50 = x * y * 4
To find the area of the base, we need to solve for x and y first. Let's divide both sides of the equation by 4:
12.5 = x * y
Now we can find the area of the base by multiplying x and y:
Area of base = x * y = 12.5 ft^2
Therefore, the correct answer is 12.5 ft^2.