'a local area' is correct and usable in written English.
You can use it any time you want to refer to a region that is close to where you are. For example, "I am looking for good schools in a local area."
Entrepreneurs deciding whether to open a gay bar in a local area.
Although the drawing algorithm uses only information about a local area, the layout algorithm is global.
Ungermann-Bass has a local area network method named Net/One.
She has taught writing to college students using a local area network lab (LAN).
Some experimental tests on a local area network (LAN) of workstations are finally discussed.
It aims to develop a "local area wind energy prediction system" (hereafter LAWEPS).
Robots are connected to the central management office via a local area network.
Unlike a local area network (LAN), a service provider typically provides the physical WAN connections.
All the instruments are controlled by the system through a local area network.
Arnold transform is introduced for scrambling the pixels at a local area of the complex function.
The user can also instruct the system to connect with the Internet, a local area network or a private network.
