Compute the number of vinyl tiles, measuring 25 cm each side, needed to tile a kitchen measuring 102 ft. by 18 ft.

25 * 25 = 625 sq cm = .6727444 sq feet

(102*18)/.6727444 = ?

To compute the number of vinyl tiles needed to tile a kitchen, we need to calculate the total area of the kitchen and then divide it by the area of each vinyl tile.

First, let's convert the dimensions of the kitchen from feet to centimeters since the size of the vinyl tiles is given in centimeters.

The dimensions of the kitchen are 102 ft. by 18 ft.
To convert feet to centimeters, multiply by 30.48 (since 1 ft = 30.48 cm).

So, the dimensions of the kitchen in centimeters are:
102 ft. * 30.48 cm/ft = 3109.76 cm
18 ft. * 30.48 cm/ft = 548.64 cm

Now we can calculate the total area of the kitchen in square centimeters:
Area = Length * Width
Area = 3109.76 cm * 548.64 cm
Area = 1704011.35 square cm

Next, we need to calculate the area of each vinyl tile. Since each side of the tile measures 25 cm, the area will be 25 cm * 25 cm = 625 square cm.

Finally, to determine the number of vinyl tiles needed, we divide the total area of the kitchen by the area of each vinyl tile:
Number of tiles = Total Area / Tile Area
Number of tiles = 1704011.35 square cm / 625 square cm
Number of tiles = 2726.42

Therefore, you would need approximately 2727 vinyl tiles to tile the kitchen.