Posted this on Socnet, might as well repeat it here:
Fallujah is a city of over 280,000. The core of the city is some 30 square kilometers. Taking it over will require planning and extensive resources. Unlike a lot of Middle Eastern cities, though, much of its roads and neighborhoods are laid out in grids, so cordoning is a little easier.
Here is a map of the city (the map is about 2 megabytes and 1350x2000 pixels in size)