From the Wikipedia page 
Rzeszów County (Polish: powiat rzeszowski) is a unit of territorial administration and local government (powiat) in Subcarpathian Voivodeship, south-eastern Poland. It came into being on January 1, 1999, as a result of the Polish local government reforms passed in 1998. Its administrative seat is the city of Rzeszów, although the city is not part of the county (it constitutes a separate city county).
Apart from the city of Rzeszów, Rzeszów County is also bordered by Nisko County to the north, Leżajsk County to the north-east, Łańcut County, Przeworsk County and Przemyśl County to the east, Brzozów County to the south, Strzyżów County to the south-west, Ropczyce-Sędziszów County to the west, and Kolbuszowa County to the north-west.