Joe is building a rectangular patio using bricks for the walls and floor that cost $0.80 each.The patio floor will be 7 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 to the nearest whole number of square yards needed.)Then calculate the total cost for these bricks to build the patio and put your answer in the box (Do not include the $ sign). ANSWER TO THE NEAREST WHOLE NUMBER! (ex. 453, 921)
Question
Joe is building a rectangular patio using bricks for the walls and floor that cost sign). ANSWER TO THE NEAREST WHOLE NUMBER! (ex. 453, 921)
Solution
First, we need to calculate the area of the patio floor in square yards. The area of a rectangle is length times width. So, the area of the patio floor in square feet is 7 ft * 9 ft = 63 square feet. Since 1 square yard is equal to 9 square feet, the area of the patio floor in square yards is 63 square feet / 9 = 7 square yards.
Next, we need to calculate the area of the three walls in square yards. The area of a rectangle is length times height. The two short walls are 2 ft high and 7 ft long, so their total area in square feet is 2 * 2 ft * 7 ft = 28 square feet. The long wall is 2 ft high and 9 ft long, so its area in square feet is 2 ft * 9 ft = 18 square feet. The total area of the three walls in square feet is 28 square feet + 18 square feet = 46 square feet. Since 1 square yard is equal to 9 square feet, the total area of the three walls in square yards is 46 square feet / 9 = approximately 5.11 square yards.
The total area of the patio in square yards is the area of the floor plus the area of the walls, which is 7 square yards + 5.11 square yards = approximately 12.11 square yards. Since we need to round to the nearest whole number of square yards, we round 12.11 square yards up to 13 square yards.
The number of bricks needed is the total area in square yards times the number of bricks per square yard, which is 13 square yards * 48 bricks/square yard = 624 bricks.
The total cost of the bricks is the number of bricks times the cost per brick, which is 624 bricks * 499.20. Since we need to round to the nearest whole number, the total cost of the bricks is approximately $499.
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