I want my sixteen year old daughter to have a better material life.
That's good I guess. Can you explain why? Is there something missing from her life now?
Her room and this house are small and there's no private ownership
It's okay to want your children to have more material comforts in their life. It's good that you are willing and ready to work hard to provide for her, and hopefully, you can set a good example so that she can do even better through her own efforts.
I took all my daughter's food away for a week to motivate her to work harder.
Well less food will make it harder for her to work and she might end up in the hospital, so I don't think that is the right move. It is okay for you wo want more things for your kid, but you should work for it not your kid. Also your kid could get taken away if you don't feed her.