Compute the number of vinyl tiles, measuring 6 in. each side, needed to tile a kitchen measuring 20 ft. by 16 ft.
1 ft = 12 in
1 ft ^ 2 = 12 ^ 2 = 144 in ^ 2
Areaa od a kitchen
Ak = 20 * 16 = 320 ft ^ 2
Ak = 320 ft ^ 2 = 320 * 144 = 46,080 in ^ 2
Area of tiles
At = 6 * 6 = 36 in ^ 2
Numbers of a tiles
n = Ak / At
n = 46,080 / 36 = 1280
OR
20 ft = 20 * 12 = 240 in
One side of tiles = 6 in
240 / 6 = 40
16 ft = 16 * 12 = 192 in
One side of tiles = 6 in
192 / 6 = 32
n = 40 * 24 = 1280
To compute the number of vinyl tiles needed to tile a kitchen, we need to follow these steps:
Step 1: Convert the kitchen's dimensions from feet to inches.
Since there are 12 inches in a foot, the kitchen's dimensions in inches will be:
Length: 20 ft. * 12 in./ft. = 240 in.
Width: 16 ft. * 12 in./ft. = 192 in.
Step 2: Calculate the area of each vinyl tile.
Since each side of the vinyl tile measures 6 inches, the area of each tile will be:
Area = 6 in. * 6 in. = 36 square inches.
Step 3: Calculate the total area to be tiled.
The kitchen's area would be the product of its length and width:
Total Area = Length * Width = 240 in. * 192 in.
Step 4: Calculate the number of vinyl tiles needed.
Now, divide the total area by the area of each tile to find out how many tiles are needed:
Number of Tiles = Total Area / Area per Tile
Number of Tiles = (240 in. * 192 in.) / 36 square inches
Using a calculator, we can solve this computation and find the final answer.