Compute the number of vinyl tiles, measuring 28 inches on each side, needed to tile a kitchen measuring 102 ft. by 18 ft.
28/12*28/12 = 5.444 ft^2 per tile
102 * 18 = 1836 ft^2 (kitchen for a huge school I assume)
1836/5.444 = 338 tiles
If we convert the dimensions to inches, then the kitchen is 1224 by 216 inches.
1224/28 = 43.7
216/28 = 7.7
So, assuming no fractional tiles are to be reused, we need 44*8=352 tiles.
The only weird thing about this problem is the idea of a kitchen 102 feet long!!! Is there a typo?
To calculate the number of vinyl tiles needed to tile a kitchen, we need to convert the measurements to the same unit. Let's convert both the vinyl tile size and the kitchen's dimensions to inches.
1 foot = 12 inches
Vinyl tile size:
28 inches
Kitchen dimensions:
Length = 102 ft. = 102 * 12 inches = 1224 inches
Width = 18 ft. = 18 * 12 inches = 216 inches
Now let's calculate the number of vinyl tiles needed.
Number of tiles = (Total area of the kitchen) / (Area of one vinyl tile)
Area of one vinyl tile = Side * Side = 28 inches * 28 inches
Total area of the kitchen = Length * Width
Plugging in the values, we have:
Area of one vinyl tile = 28 inches * 28 inches = 784 square inches
Total area of the kitchen = 1224 inches * 216 inches = 264,384 square inches
Number of tiles = 264,384 square inches / 784 square inches
Number of tiles = 337.92
Since we can't have partial tiles, we round up to the nearest whole number.
Number of tiles needed = 338 vinyl tiles
Therefore, you will need 338 vinyl tiles to tile your kitchen.
To compute the number of vinyl tiles needed, we'll need to break down the measurements into the same units and then divide the area of the kitchen by the area of one vinyl tile.
1. Convert the kitchen measurements to inches:
- Length: 102 ft * 12 inches/ft = 1224 inches
- Width: 18 ft * 12 inches/ft = 216 inches
2. Calculate the area of one vinyl tile:
- Area of one tile = side length * side length
- Area of one tile = 28 inches * 28 inches = 784 square inches
3. Calculate the total area of the kitchen:
- Total area of the kitchen = length * width
- Total area of the kitchen = 1224 inches * 216 inches = 264,384 square inches
4. Finally, compute the number of vinyl tiles needed:
- Number of tiles = Total area of the kitchen / Area of one tile
- Number of tiles = 264,384 square inches / 784 square inches ≈ 337 tiles
Therefore, you would need approximately 337 vinyl tiles, with each tile measuring 28 inches on each side, to tile the kitchen.