geometry

Find the area of the parallelogram that has coordinates of A(-2,2), B(-4,-2), C(2,-2), and D(4,2).

Find the base and height first.

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  1. (CD)^2 = (2-4)^2 + (-2-2)^2,
    (CD)^2 = 4 + 16 = 20,
    CD = 4.47.

    tanD = (-2-2) / (2-4) = -4 / -2 = 2,
    D = 63.43 deg.

    h = CD*sin63.43 = 4.

    b = AD = 4-(-2) = 6.

    Area = hb = 4 * 6 - 24.

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