本 ('this / our') functions like English 'this' or 'our' in formal compounds (
本校 'this school,'
本市 'this city,'
本店 'this shop'); it's the bureaucratic-style way to say 'the unit you are currently inside or in the catchment of.' Common in administrative notices, school documents, and signage. In conversation people just say
我们这个区 'our district.'