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Area of a Trapezoid

The area of a trapezoid is the equal with half of the sum of the parallel sided multiplied by the height of the trapezoid.

$$Area(ABCD) = \frac{(BC+AD)h}{2}$$


Let us consider the two triangles: ABD and BDC. They have the the same height as the trapezoid.

$$Area(ABCD) = Area(ABD) + Area(BDC) = $$
$$= \frac{AD \cdot h}{2} + \frac{BC \cdot h}{2} = \frac{(AD+BC) h}{2}$$
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