To find the surface area of a rectangular pyramid, we need to calculate the area of the base (which is a square in this case) and the area of the four triangles.
The base of the pyramid is a square with side length 9 ft. The area of the square base is 9 ft * 9 ft = 81 ft^2.
Next, we need to find the area of each triangle. Since the base of the pyramid is a square, the triangles are all congruent and have base and height equal to 9 ft.
The area of each triangle is 1/2 * base * height = 1/2 * 9 ft * 9 ft = 40.5 ft^2.
Since there are 4 identical triangles, the total area of the four triangles is 4 * 40.5 ft^2 = 162 ft^2.
Therefore, the total surface area of the rectangular pyramid is the sum of the base area and the four triangles area:
81 ft^2 (base) + 162 ft^2 (triangles) = 243 ft^2.
So, the correct answer is 243 ft^2.
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