Dear bothrah,
The problem can be approached in different ways.
Option 1: If you have Cows, Goats in your land, they will do the job for you.
Option 2: Dont cut the grass, but rollover a drum or heavy object over the vegetation or grass and let these be left as is and this will prevent further growth.
Option 3: Cover the place with fallen coconut leaves or dried leaves and make sure the sunlight does not reach the soil and this will ensure that nothing ever grows.
One thing to keep in mind is, if you do not have anything on the ground, the ground will be scorched by the sunlight and the air will carry away the topsoil.
Regards
Padmanabhan