![]() ![]() By summing the areas of these three shapes, we get the formula: Area = (Sum of Lengths of Parallel Sides) × (Height) / 2ġ8. Why does the trapezoid formula work? The trapezoid formula works because the area of a trapezoid can be divided into a rectangle and two right triangles. What is the area theorem of trapezoid? The area theorem of a trapezoid states that the area is equal to the average of the lengths of the two bases multiplied by the height.ġ7.
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