Lou is building a rectangular patio using bricks for the walls and floor that cost $0.90 each.The patio floor will be 6 ft by 9 ft and the sides will be 2 feet high on three sides with one of the long sides open with no wall.Bricklayers often estimate the number of bricks needed by calculating 48 bricks per square yard .(Round your answer upwards always to the nearest whole number of square yards needed.)Then calculate the total cost for these bricks to build the patio
Question
Lou is building a rectangular patio using bricks for the walls and floor that cost $0.90 each.The patio floor will be 6 ft by 9 ft and the sides will be 2 feet high on three sides with one of the long sides open with no wall.Bricklayers often estimate the number of bricks needed by calculating 48 bricks per square yard .(Round your answer upwards always to the nearest whole number of square yards needed.)Then calculate the total cost for these bricks to build the patio
Solution
First, let's calculate the number of bricks needed for the floor. The area of the floor is 6 ft by 9 ft, which is 54 square feet. Since there are 9 square feet in a square yard, the floor is 54/9 = 6 square yards. At 48 bricks per square yard, we'll need 6 * 48 = 288 bricks for the floor.
Next, let's calculate the number of bricks needed for the walls. Each wall is 2 feet high and 1 foot thick (since the bricks are being laid flat), so the area of each wall is 2 square feet. The two short walls are each 6 feet long, so they each have an area of 6 * 2 = 12 square feet, or 12/9 = 1.33 square yards. Rounding up, we'll need 2 square yards of bricks for each short wall, or 2 * 2 * 48 = 192 bricks total for the two short walls.
The long wall is 9 feet long, so it has an area of 9 * 2 = 18 square feet, or 18/9 = 2 square yards. We'll need 2 * 48 = 96 bricks for the long wall.
Adding up all these amounts, we find that we need a total of 288 + 192 + 96 = 576 bricks.
Finally, we can calculate the total cost of the bricks. At 0.90 = $518.40.
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