It’s likely that your battery has gone bad. Try the suggestions @ambientprotect suggested in the comment above and if none of those suggestions work I would replace the battery.
http://www.newpower99.com/ProductDetails.asp?ProductCode=Kindle-Paperwhite-2nd-Gen&gdffi=856b397eff924909b092c3d43253137f&gdfms=22411A8ABBEC4C0C9A81BA6EDC78EF74&gclid=CjwKCAjwvNXeBRAjEiwAjqYhFiPDBjwhcbhw2PZT6MpexFY5xcsnPjaU1gCkQZ-w-QbRx167wwJowhoCEvwQAvD_BwE
[guide|69419]