What is the area of a trapezoid with bases 4 and 7 and height 5?

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Multiple Choice

What is the area of a trapezoid with bases 4 and 7 and height 5?

Explanation:
The area of a trapezoid comes from using the height times the average of the two bases. Here the height is 5 and the bases are 4 and 7, so the average of the bases is (4 + 7) / 2 = 11/2 = 5.5. Multiply by the height: 5.5 × 5 = 27.5. You can also see this by splitting the trapezoid into a rectangle (width 4, height 5) and a triangle (base difference 3, height 5): 4×5 = 20 and (1/2)×3×5 = 7.5, total 27.5. So the area is 27.5.

The area of a trapezoid comes from using the height times the average of the two bases. Here the height is 5 and the bases are 4 and 7, so the average of the bases is (4 + 7) / 2 = 11/2 = 5.5. Multiply by the height: 5.5 × 5 = 27.5.

You can also see this by splitting the trapezoid into a rectangle (width 4, height 5) and a triangle (base difference 3, height 5): 4×5 = 20 and (1/2)×3×5 = 7.5, total 27.5.

So the area is 27.5.

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