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What is the area of the parallelogram

What is the area of the parallelogram-example-1

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Answer:

24 square units

Explanation:

For such questions it is convenient to choose the "base" to be a segment that is aligned with one of the coordinate axes. Here, the horizontal segments will serve. Their length is the difference between the x-coordinates of the end points, -2 -(-6) = 4, for example.

The height is measured perpendicular to the base, so will be the difference between the y-coordinates of the horizontal segments: 2 -(-4) = 6.

The area is given by the formula ...

A = bh

A = 4·6 = 24 . . . square units

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