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13 September, 05:01

A parallelogram has vertices (-3,4) (4,4) (2,-1) (-5,-1) on the coordinate plan what's the area

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  1. 13 September, 05:12
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    Area of this parallelogram: 35.

    Step-by-step explanation:

    What's the equation for the area A of a parallelogram?

    A = b · h,

    where

    b is the length of the base, and h is the length of the height on that base.

    Plot the four vertices on a cartesian plane. Two opposite sides of this parallelogram are parallel to the x-axis. As a result, the length of the base is the same as the difference in x-coordinates between two vertices on that side. As seen on the diagram, the length of this base is b = 2 - (-5) = 7.

    The height on either of those two sides will be normal to the x-axis and parallel to the y-axis. The length of those heights will be the same as the difference in y-coordinates between two vertices, one on each line. As seen on the diagram, the length of the height on base b is h = 4 - (-1) = 5.

    Area of this parallelogram:

    A = b · h = 5 * 7 = 35.
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