Lexington -- U.S. city in Virginia Population (2000): 6867 Housing Units (2000): 2376 Land area (2000): 2.493662 sq. miles (6.458555 sq. km) Water area (2000): 0.000000 sq. miles (0.000000 sq. km) Total area (2000): 2.493662 sq. miles (6.458555 sq. km) Located within: Virginia (VA), FIPS 51 Location: 37.782938 N, 79.445198 W Headwords: Lexington Lexington, VA Lexington city Lexington city, VA