A rectangular floor that measures 3 m by 2 m is covered by 384 square tiles. Determine side length of each tile in centimeters
Thanks!
6mx2m/384 = area of each tile.
side length= sqrt areatile
To determine the side length of each tile in centimeters, we'll need to calculate the area of the rectangular floor in square centimeters and then divide it by the number of tiles.
Let's proceed step by step:
1. First, convert the measurements of the floor from meters to centimeters. Since 1 meter is equal to 100 centimeters, the length becomes 300 cm (3 m x 100 cm/m) and the width becomes 200 cm (2 m x 100 cm/m).
2. Next, calculate the total area of the floor in square centimeters by multiplying the length by the width: 300 cm x 200 cm = 60,000 cm².
3. Now, divide the total area of the floor by the number of tiles to find the area of each tile: 60,000 cm² ÷ 384 = 156.25 cm².
4. Finally, to determine the side length of each tile in centimeters, we need to calculate the square root of the area of each tile: √156.25 cm² ≈ 12.5 cm.
Therefore, the side length of each tile is approximately 12.5 centimeters.