Connector wise, it should work no problem.
You want to make sure that your power supply has an extra (6-pin) cable (you can get adapters if needed).
So assuming nothing interferes with the card physically (hard to tell from the pictures, but the ram might be kinda close), you should be fine.
It should fit the motherboard. It will cover one of the small PCI slots though. The motherboard is used in a pre-built by dell, so make sure the case is big enough too. Be sure to check out the recommend graphics cards at different price points. The GPU seems a bit expensive considering the age of the motherboard. http://www.tomshardware.com/reviews/gaming-graphics-car...