A. agrarian
The excerpt from the code references taking care of a field as a man's duty. The work expected from a man is taking care of the field or farm. If there is a law or code for the whole empire then one can assume that it applied to many if not all men who were of adult working age.
The Babylonian Empire were able to use irrigation systems to create farming fields for their agrarian society. They grew barley and wheat as well as raising domesticated animals.