Schongau is a municipality in the district of Hochdorf in the canton of Lucerne in Switzerland. Schongau is located in the Seetal valley. Th…Schongau is a municipality in the district of Hochdorf in the canton of Lucerne in Switzerland. Schongau is located in the Seetal valley. The municipality has an area of 12.5 km². Of this area, 70.4% is used for agricultural purposes, while 26.1% is forested. Of the rest of the land, 3.5% is settled and the remainder is non-productive. In the 1997 land survey, 26.08% of the total land area was forested. Of the agricultural land, 65.41% is used for farming or pastures, while 4.98% is used for orchards or vine crops. Of the settled areas, 2.01% is covered with buildings, 0.08% is industrial, 0.32% is parks or greenbelts and 1.04% is transportation infrastructure. All the unproductive areas are unproductive flowing water.