Final answer:
A wide area network (WAN) is the type of network that would most likely be used to link a corporation's headquarters with its four branch offices located throughout a state.
Step-by-step explanation:
The type of network that would most likely be used to link a corporation's headquarters with its four branch offices located throughout a state is referred to as a wide area network (WAN).
A wide area network (WAN) is a network that covers a large geographical area, such as multiple branch offices across a state. It connects multiple local area networks (LANs) and allows for communication and data transfer between the headquarters and branch offices.
For example, a corporation may use a WAN to connect its headquarters in New York City with branch offices in Albany, Buffalo, Rochester, and Syracuse, allowing employees to easily communicate and share resources.