Window

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• Jul 11th 2008, 02:03 AM
puco
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?
• Jul 11th 2008, 02:12 AM
kalagota
maybe, this will sound funny but this is the only reason i can think of..

the length doubled.. (Rofl) 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..
• Jul 11th 2008, 02:22 AM
Simplicity
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.

(Thinking)
• Jul 11th 2008, 11:50 AM
puco
Thank you, Kalagota and Air!

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

The original window was a rhombus.
• Jul 11th 2008, 01:07 PM
Soroban
Hello, puco!

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

Quote:

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 - :```