geometry

Given the quadrilateral ABCD with the following vertices A(-4, 0), B(10, 0), C(10, 10), and D(0, 14), find its area.

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  1. After you sketch it, it is easy to see that you can split the area up into 2 triangle and a square, whose areas are 28, 20 and 100 , for a total of 148

    or

    list the coordinates in a column, repeating the first point

    -4 0
    10 0
    10 10
    0 14
    -4 0

    the area is (1/2)( sum of downproducts - sum of upproducts)
    - (1/2)(0+100+140+0 -(0+0+0-56)
    = (1/2(240 + 56) = 148

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