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Deriving the Formula for the Area of a Parallelogram

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The Demonstration shows a graphics derivation of formula for the area of the parallelogram given by points , , , and , namely . The area of triangle , , is . Since the expression could be negative, it gives the so-called signed area.

Contributed by: Izidor Hafner (April 2013)
Open content licensed under CC BY-NC-SA

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The expression is the determinant of the 2×2 matrix .

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