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Math Help - Formula for Calculating Area of Cross/Plus Shape

  1. #1
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    Formula for Calculating Area of Cross/Plus Shape

    Hi people,
    I'm currently trying to find a formula for calculating an Area of Cross/Plus Shape
    It looks like this : +
    It has 12 sides (12 coordinates)
    For example
    1,2
    2,2
    2,1
    3,1
    3,2
    4,2
    4,3
    3,3
    3,4
    2,4
    2,3
    1,3

    I've tried using this formula:
    Area of any polygon (Coordinate Geometry) - Math Open Reference
    The expected answer should be 5, but I got 4 instead.
    Is there actually a formula for this?
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  2. #2
    A riddle wrapped in an enigma
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    Big Stone Gap, Virginia
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    Quote Originally Posted by andylbh View Post
    Hi people,
    I'm currently trying to find a formula for calculating an Area of Cross/Plus Shape
    It looks like this : +
    It has 12 sides (12 coordinates)
    For example
    1,2
    2,2
    2,1
    3,1
    3,2
    4,2
    4,3
    3,3
    3,4
    2,4
    2,3
    1,3

    I've tried using this formula:
    Area of any polygon (Coordinate Geometry) - Math Open Reference
    The expected answer should be 5, but I got 4 instead.
    Is there actually a formula for this?
    Hi andylbh,

    I wasn't aware of that formula, but it worked out to be 5 when I applied it. Check your arithmetic again.

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  3. #3
    MHF Contributor
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    Ottawa, Canada
    Posts
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    68
    Graph the darn thing: it'll be evident...

    I see no reason to use that formula if dealing with THAT type of cross;
    simply get length of one side; x = side length; then:
    area = 5x^2
    Last edited by Wilmer; May 16th 2011 at 04:45 PM.
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  4. #4
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    webdesign

    hi..... this is ashley. it is a useful site to all.. thank you
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