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Question

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Compose a rectangle to help find the area of a trapezoid- shaped tabletop in square inches. What is the area of the tabletop?

Answer 1

To find the area of the trapezoid-shaped tabletop, we first need to break it down into a rectangle and two right triangles.

The longer base of the trapezoid is 21 inches, the shorter base is 18 inches, and the height is 6 inches.

First, we find the area of the rectangle by multiplying the longer base (21 inches) by the height (6 inches):
Area of rectangle = 21 inches * 6 inches = 126 square inches

Next, we calculate the area of the two right triangles. The base of each triangle is 21 - 18 = 3 inches (half the difference between the longer and shorter bases). The height of the triangles is the same as the height of the trapezoid, which is 6 inches.

Area of each triangle = 0.5 * base * height
Area of each triangle = 0.5 * 3 inches * 6 inches = 9 square inches (for each triangle)

Since there are two triangles, the total area of the triangles is 2 * 9 square inches = 18 square inches.

Finally, we find the total area of the trapezoid-shaped tabletop by adding the area of the rectangle and the total area of the triangles:

Total area = Area of rectangle + Total area of triangles
Total area = 126 square inches + 18 square inches
Total area = 144 square inches

Therefore, the area of the trapezoid-shaped tabletop is 144 square inches.

Answer 2

Answers
756 square inches
882 square inches
864 square inches
648 square inches

Answer 3

The correct answer is 756 square inches.