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Copy of Area of a Trapezoid

Use this dynamic worksheet to derive the formula for area of a trapezoid.
Use the slider to rotate the trapezoid around BD.

1. What shape do the two combined trapezoids form?

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2. Let b1 represent the length of AB and b2 represent the length of CD. What is the length of the base of the shape formed by the combined trapeziums?

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3. Write the formula for the combined shape in terms of b1, b2 and h.

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What fraction of the combined shape is the original trapezium?

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Write a rule for the area of the original trapezium in terms of b1, b2 and h.

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