You searched for: “boarder
boarder (BOR dur)
1. A lodger, to house, to billet, to provide a bed; to feed; to bed and breakfast: "The ranch provides for boarder vacationers during the summer."
2. A lodger who receives meals regularly at a fixed price: "To earn extra money, they took in a boarder."
3. To enter, to get on, to go onto, to embark: "The passengers boarded the plane at noon after having been boarders of a bus that delivered them to the airport."
boarder, border
boarder (BOR dur, BOR duhr) (noun)
1. A lodger or resident who receives regular meals as part of the rent or payment for a room: The ranch has more than one summer boarder who likes to holiday in the country.
2. A lodger who receives meals regularly at a fixed price: To earn extra money, they took in a boarder.
border (BOR dur, BOR duhr) (noun)
1. An edge, a rim, a perimeter: Summer cottages were built all around the border of the lake.
2. A frontier, a boundary: Do you need a passport to cross the Canadian border?
3. To be next to, to adjoin: California has a border with the Pacific Ocean.
4. A trim, a hem: The seamstress sewed a border of flowers on the dress.

A renter's boundary, or limitation, in a room and board situation is said to be a boarder border.