A patio, when comapared against a lawn or dirt, provides you with a cleaner and eaisier to maintain yard. There is no grass to cut and rake up or dirt that turns to mud after a rain to ruin your shoes and track into the house. Simply sweep or hose it down from time to time.
The addtion of a brick wall will provide you with some privacy and security. It can't be cut like a chain link fence or knocked over like a wrought iron or wood fence. Plus, it's a easy to care for as a cement patio. It won't rust or rot like metal or wood. Just hose it off if it gets dirty, If it's really dirty a strong detergent and brush won't harm it.