What type of law concerns punishments for individuals who break established laws?

Criminal law is the correct category because it specifically deals with actions that are deemed offenses against the state or public. This area of law sets out various behaviors that are considered criminal, along with the corresponding punishments for those who commit such acts. It aims to maintain order and protect society by imposing penalties, which can include fines, community service, imprisonment, or other forms of punishment.

In contrast, civil law primarily addresses disputes between individuals or organizations and typically involves compensation rather than punitive measures. Constitutional law focuses on the structure of government and the rights of the individual as outlined by the constitution. Administrative law regulates the actions of governmental agencies, but it does not impose punishments for breaking laws in the same way criminal law does.