Compute the number of vinyl tiles, measuring 8 in each side, needed to tile a kitchen measuring 24ft by 18ft.
Area of kitchen:25X18=432
Area each tilein (feet):.667X.667=.44
432/.44=972 tiles
Is my work correct?
yes
(I would have changed everything to inches to get 'exact' answers)
your calculation of 432/.44 ≠ 972
432/.44 = 981.8 or 982 tiles
I would have worked with fractions
area each tile: 2/3 ft x 2/3 ft= 4/9 ft^2
number tiles=432/(4/9)= 9*432/4=9*108=972
Good work.
Dang, how did I do that? 8/12=2/3 ft.
Here is the error, I didn't check your area calculation.
24x18=432 ft^2 correct.
that divided by (4/9)=972
Now looking at Dr Reiny's solution.
He used your approximation for area (.44 ft^2). I assume you did not use that in your calculator, but rather more significant digits (which got you the 972. I like to not use decimal equivalents to repeating fraction equivalents.
Yes, your work is correct. To determine the number of vinyl tiles needed to tile a kitchen, you first need to calculate the area of the kitchen. The area is calculated by multiplying the length and width of the kitchen, which in this case is 24 feet by 18 feet, resulting in an area of 432 square feet.
Next, you need to determine the area covered by each vinyl tile. In this case, the vinyl tiles measure 8 inches on each side. To convert inches to feet, you divide by 12, so each side of the tile measures 8/12 = 0.667 feet. The area covered by each tile is calculated by multiplying the lengths of its sides, resulting in an area of 0.667 feet by 0.667 feet, which is approximately 0.44 square feet.
To find the number of tiles needed, you divide the total area of the kitchen by the area covered by each tile. So, 432 square feet divided by 0.44 square feet is approximately 972 tiles. Therefore, you would need approximately 972 vinyl tiles to tile the kitchen.
In summary, your calculations are correct, and you would need around 972 tiles to tile a kitchen measuring 24ft by 18ft using vinyl tiles measuring 8 inches on each side.