 Barnet contains the locations of Barnet Center, East Barnet, McIndoe Falls, Mosquitoville, Passumpsic and West Barnet.The main settlement of Barnet is recorded as a census-designated place by the U.S. Census Bureau, with a population of 129 at the 2010 census.According to the United States Census Bureau, the town has a total area of , of which is land and , or 3.04%, is water.