Question

50. Armen is covering his countertop with new tile. His countertop is 3 meters long and 2 meters wide. Each square tile is 10.5 centimeters on either side. Approximately how many tiles does Armen need to cover his countertop?

Answer 1

To find the number of tiles Armen needs to cover his countertop, we need to calculate the total area of the countertop and divide it by the area of each tile.
The area of the countertop is:
3 meters x 2 meters = 6 square meters
We need to convert the measurements to centimeters, since the size of each tile is given in centimeters:
6 square meters x 100 centimeters/meter x 100 centimeters/meter = 60000 square centimeters
The area of each tile is:
10.5 centimeters x 10.5 centimeters = 110.25 square centimeters
Therefore, the number of tiles Armen needs is:
60000 square centimeters ÷ 110.25 square centimeters per tile = 544.22 tiles
Since we can't buy a fraction of a tile, Armen needs to round up to the nearest whole number of tiles. Therefore, Armen needs approximately 545 tiles to cover his countertop.