Which term refers to the residents, institutions, and businesses in the area where an officer works?

The term that encompasses the residents, institutions, and businesses in the area where an officer works is "Community." This term reflects a collective body of individuals and entities that interact and share a common space, often with shared interests or concerns. In the context of law enforcement, engaging with the community is vital for building trust, fostering cooperation, and enhancing public safety.

The other options, while related, do not capture the comprehensive nature of 'community.' A neighborhood may refer to a specific residential area, but it doesn't necessarily include institutions and businesses. A district can imply a defined geographical area, often for administrative purposes, yet it lacks the emphasis on the relational aspect of those living and working within it. Society is an even broader term that encompasses all individuals and groups, but it is less focused on the local interactions and entities particular to a law enforcement officer's area of responsibility. Therefore, 'community' is the most appropriate choice for this context.