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Math Help - Finding the are of a Parallelogram with coordinates...? Pre-Calculus

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    (Don't read yet) Finding the are of a Parallelogram with coordinates...? Pre-Calculus

    Hello. Pre-cal practice work for test tomorrow.

    Problem gives us these coordinates: A(1,2), B(5,2), C(3,6), D(5, -3)

    I graphed it. How are we supposed to find the area with these coordinates?

    I know the answer is 16, because I checked the back of the book. I would like to know how to get that answer.

    Thank you

    Oh yes, I apologize for the misconveniance.. I will correct this when I get back to my room to access my pre-cal book.
    Last edited by theadage; February 6th 2013 at 06:21 AM.
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    Re: Finding the are of a Parallelogram with coordinates...? Pre-Calculus

    A simple plot of the points shows that this is not a parallelogram...
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    Re: Finding the are of a Parallelogram with coordinates...? Pre-Calculus

    It is not a parallelogram. Join any diagonal of the quadrilateral. and use the formula for finding the area of a triangle with given vertices. Finding the are of a Parallelogram with coordinates...? Pre-Calculus-area-triangle.png
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    Re: Finding the are of a Parallelogram with coordinates...? Pre-Calculus

    Hello, theadage!

    Please check for typos.
    The problem doesn't make sense.


    Problem gives us these coordinates: A(1,2), B(5,2), C(3,6), D(5, -3) .[1]

    I graphed it. How are we supposed to find the area with these coordinates?

    I know the answer is 16, because I checked the back of the book. .[2]

    I would like to know how to get that answer. . So would I!

    [1] The vertices are usually labeled in order around the parallelogram.
    . . .The given coordinates are not.
    . . .Besides, they do not form a parallelogram.
    Code:
          |
          |     C
          |     o
          |    *:*
          |   * :4*
          |  *  :  *
          |Ao * * * oB
          |   * 4   *
        - + - - * - *5 - -
          |       * *
          |         o
          |         D
          |
    [2] The area is not 16.

    Triangle ABC has base 4 and height 4.
    . . Its area is 8.

    Triangle ABD has base 4 and height 5.
    . . Its area is 10.

    The total area is 18.
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    Re: Finding the are of a Parallelogram with coordinates...? Pre-Calculus

    A(1,3) B(5,2) C(3,6) D(7,6)

    I know that BXH= Area.
    But it's too easy... there must be a trap.
    ;0
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