To find the area of the trapezoid-shaped tabletop, we can decompose it into a rectangle and two right triangles.
Let's denote the dimensions of the trapezoid as follows:
Top base = 18 inches
Bottom base = 36 inches
Height = 12 inches
First, we can find the area of the rectangle by using the formula:
Area = length x width
Area = 36 inches x 12 inches
Area = 432 square inches
Next, we can find the area of the two right triangles. Since the height of the trapezoid is 12 inches, the height of each triangle is 12 inches and the base of the triangles is (36 - 18)/2 = 9 inches.
The area of one triangle can be calculated as:
Area = 1/2 x base x height
Area = 1/2 x 9 inches x 12 inches
Area = 54 square inches
Since there are two triangles, the total area of both triangles is 54 square inches x 2 = 108 square inches.
Adding the area of the rectangle and the two triangles together:
Total area = 432 square inches + 108 square inches
Total area = 540 square inches
Therefore, the correct answer is not among the provided options. The area of the trapezoid-shaped tabletop is 540 square inches.
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