Brookings -- U.S. County in South Dakota Population (2000): 28220 Housing Units (2000): 11576 Land area (2000): 794.457807 sq. miles (2057.636186 sq. km) Water area (2000): 10.304277 sq. miles (26.687955 sq. km) Total area (2000): 804.762084 sq. miles (2084.324141 sq. km) Located within: South Dakota (SD), FIPS 46 Location: 44.345420 N, 96.798488 W Headwords: Brookings Brookings, SD Brookings County Brookings County, SD