I bought a new laptop around 2 months ago its an asus g50vt. I was having problems playing wow with the graphics and it was doing something similar to my problem now but my runescape always ran perfectly. Asus asked me to restore my laptop which I did and now runescape looks like this when I play:

 

 

Any help on what I try to fix this would be much appreciated.

If you need any computer specs just let me know what you need and how I can get them thank you.

Try one of 3 things:

 

1. 
    
   
2. Go into your RS settings and see if you can adjust the video settings. If its not letting you it could be an issue with your graphics card driver, in which case.......
   
3. Here is a link to the video driver for this laptop (going off the information you have provided). Try re-installing the driver to see if that works.
   
4. If this doesn't help contact ASUS with your problem. To be honest, graphics cards in laptops aren't the best in the world for some games :|
   

You can also try updating Java.