Drive Reuse Nexus 7 screen

Hello. I have disassembled my nexus 7, and the screen is not fixable. So I thought I would reuse it as a portable light. I have removed the digitizer and the LCD part, so I only have the LED backlight. What I want to do is to attach it to an old phone's battery.
Can anyone give me an instruction how to make it happen? The LED is the older wifi-only model's factory screen (HYDIS HV070WX2-1E0), and the battery is an older, but standard 3.7V (V30145-K1310-X250). How can I attach the batter to the led to make it work? A picture would be highly appreciated.