A room measures 14 feet by 20. feet. How many tiles would it take to cover the deck if the square tiles measure 8.0 inches to the side?
One square has an area of 64 inches. The total area of the room is 14x20=280 feet times 12= 3360 inches. 3360/64= 52.5 tiles. It will take approximately 53 tiles to cover the deck.
let's change the room dimensions to inches
14 ft by 20 ft = 168 in by 240 in
We can fit 21 tiles along the 168 inches side
We can fit 30 tiles along the 240 inches side
number of tiles = 21 x 30 or 630 tiles.
The solution by Brilliant was not so brilliant, it is wrong
Brilliant's way should have been
area of room = 280 square ft
= 280(144) or 40320 square inches
each tile takes 64 square inches
number of tiles = 40320/64 = 630 tiles
How many tiles that are 12 inches by 18 inches will be needed to tile a floor that is 15 feet wide and 20 feet long?
To find out how many tiles are needed to cover the deck, we need to calculate the area of the deck and divide it by the area of one tile.
First, let's convert the dimensions of the room from feet to inches, since the measurements of the tiles are given in inches:
Width of the room = 14 feet = 14 * 12 inches = 168 inches
Length of the room = 20 feet = 20 * 12 inches = 240 inches
Next, we need to calculate the area of the deck:
Area of the deck = Width of the room * Length of the room
Area of the deck = 168 inches * 240 inches
Now, let's calculate the area of one tile by multiplying the length of one side of the tile by itself:
Area of one tile = 8.0 inches * 8.0 inches
Finally, divide the area of the deck by the area of one tile to find out how many tiles are needed:
Number of tiles = Area of the deck / Area of one tile
Plug in the values:
Number of tiles = (168 inches * 240 inches) / (8.0 inches * 8.0 inches)
Calculate the result:
Number of tiles = 40320 square inches / 64 square inches
Number of tiles = 630
Therefore, it would take 630 tiles to cover the deck.