I think you are better off just returning it without trying to play
repairman. They will give you a new one for this. Electronics
which overheat are possibly dangerous. It's not your fault.
Kindle overheating problem... from various users>
I have the Kindle Fire and I just sent a Return request, because it overheats while charging. and the battery dies in about 30 minutes. I hope is just a Bad batch ... from amazon forum
My gets hot as well. However I have noticed that it really gets hotter when I am using it while it charges than when I leave it alone.
I, too, am having the same problem. I received it as a gift for Christmas and it always felt warm. And today it overheated and will not turn on. I am so disappointed.