John is buying floor tile to put in a room that is 10 ft by 15 ft. He has chosen tiles that are 18 in by 18 in. Assuming that he needs to buy 10% extra to be safe, how many tiles would he need to buy.
I know that I need to buy enough for 150 square feet, but I'm not sure what my next step would be since that is in square feet and my tiles are in inches.
10/1.5 = 6.67 tiles
15/1.5 = 10 tiles
6.67 * 10 = 66.7
66.7 * 1.1 = 73.37 = 74 tiles
What does the 1.5 represent that you divided by?
18 inches = 1.5 feet
To find out how many tiles John needs to buy, we will follow these steps:
Step 1: Convert the dimensions of the room from feet to inches.
Since 1 foot is equal to 12 inches, the dimensions become 10 ft x 15 ft = (10 x 12) in x (15 x 12) in = 120 in x 180 in.
Step 2: Calculate the area of the room in square inches.
The area of the room is calculated by multiplying the length and width: 120 in x 180 in = 21,600 square inches.
Step 3: Determine the area covered by each tile.
Since each tile has dimensions of 18 inches x 18 inches, the area covered by each tile is calculated as (18 in) x (18 in) = 324 square inches.
Step 4: Calculate the total number of tiles needed.
To calculate the total number of tiles needed, divide the area of the room by the area covered by each tile: 21,600 square inches / 324 square inches = 66.67 tiles.
Step 5: Add the 10% extra tiles.
To account for potential waste or irregular cuts, John needs to buy 10% more tiles. Multiply the total number of tiles needed by 1.1: 66.67 tiles x 1.1 = 73.34 tiles.
So, John would need to buy approximately 73 tiles to cover the floor, with the 10% extra tiles included.