The >4 in the statistics panel indicates that there are more than four points making up the polygon.
I suspect you'll find you have some points sharing the same space. Try performing a merge on the object, then remove any 2-point polygons that may find their way into the model - this might fix your problem.
The other thing to watch for is that when you create the polygons, make sure that you're not inadvertantly selecting any points through the model as this will also cause you to create degenerate polys.
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