The best way to solve this would be to re-layout the UV co-ordinates in the model and paint a new texture to the size you want, this would be the most efficient method for the game engine. I do believe that there are a number of software packages out there for free that would enable you to do this, unfortunately I don't use them myself but a quick google and you should be able to find them along with a video tutorial. Its a really simple shape to do and shouldn't take more than an hour for you to do and work it out.
Try this
http://www.uvlayout.com/index.php?option=com_wrapper&Itemid=72
Tutorial
https://www.youtube.com/watch?v=bkk8GoQ7g6A
Its all looks more complicated than it actually is, once you have cracked that you will be well on your way to creating your own models.
Hope that helps
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