IPA: /ˈpæs.tʃər.ɪdʒ/
KK: /ˈpæstərɪdʒ/
Land that is covered with grass or plants where animals can graze.
The farmer took his cattle to the pasturage to feed on the fresh grass.
Pasturage is formed from "pasture" (from Old French *pastur*, meaning a feeding ground for animals) and "-age" (a suffix indicating a process or result). The word refers to the act or process of providing land for grazing animals.
Think of a 'feeding ground' ('pasture') where animals graze, and the '-age' indicates the process of that grazing.