I can't think of any specific kind of "area" for things that need to be repaired. It really depends on what it is that needs to be repaired and then the answer for that can be different. For example, if I have an appliance that breaks, I take it to an appliance-repair shop. If something is broken on my car, I take it to an auto-repair shop. Let me know if you have any more questions. :)

Repairs often take place in a workshop, but I don't know if that's the word you're looking for.