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Math Help - Window

  1. #1
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    Window

    Maybe it's a logical problem, but it was proclaomed as a geometrical problem.
    A window of a house was doubled, but its width and height didn't change. How it is possible?
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  2. #2
    MHF Contributor kalagota's Avatar
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    maybe, this will sound funny but this is the only reason i can think of..

    the length doubled.. see, it didn't ask you if it was its area, volume or whatsoever that doubled. and i haven't seen any window which is only two dimensional so maybe, that would be the answer..
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  3. #3
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    My approach is logical and I'm sure there is a mathematical approach which isn't coming to my head.

    I would say that as the width and height didn't change, it could mean that the window is split within (e.g. adding a frame in between). This would mean that there are two windows on either sides of the frame.

    Attached Thumbnails Attached Thumbnails Window-frame-split.jpg  
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  4. #4
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    Thank you, Kalagota and Air!

    Maybe, I found the solution, but I'm not sure:

    The original window was a rhombus.
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  5. #5
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    Hello, puco!

    It's a trick question . . . and your answer is correct!


    A window of a house was doubled, but its width and height didn't change.
    How it is possible?

    This is one possible shape for the window.

    Code:
                *         -
              *   *       :
            *       *     :
          *           *   :
           *         *  height
            *       *     :
             *     *      :
              *   *       :
               * *        :
                *         -
          : - width - :



    And the new window looks like this:

    Code:
          *-----*-----*   -
          |   .   .   |   :
          | .       . |   :
          *           *   :
          |.         .| height
          | .       . |   :
          |  .     .  |   :
          |   .   .   |   :
          |    . .    |   :
          *-----*-----*   -
          : - width - :
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