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Cost of Materials. The cost of adding a new wall to a home depends on the material used. Brick walls are often an affordable option, and a hollow brick wall costs around $25.40 per square foot. Hollow bricks feature a unique design with a durable shell and a hollow space in the center of each brick. Traditional brick walls cost around $14.10 per square foot. If the wall reaches a certain height and requires additional reinforcement, most contractors will recommend the use of hollow brick walls. They can easily slide steel bars inside the bricks to reinforce the wall.
A brick wall may be constructed by a handyman, masonry specialist or a general contractor. The average cost per hour for a handyman or general contractor to install a brick wall is $44.50. The average cost per hour to hire a masonry specialist for the construction of a brick wall is $62. The difference in installation cost is based upon the ability of a mason to create complex designs and configurations with the bricks.