Question
The dimensions of a room are 16 meters in length and 8 meters wide. A contractor wants to tile the room using the least number of square tiles. What should the tile dimension be?
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To find the least number of square tiles, we need to find the greatest common factor (GCF) of the length and width of the room. The GCF of 16 and 8 is 8. So, we can divide both dimensions by 8 to get the smallest integer values:
16 ÷ 8 = 2
8 ÷ 8 = 1
This means that we can cover the entire room with 2 rows of tiles that are 1 tile wide each. So, the length of each tile should be equal to the length of the room divided by the number of rows of tiles, which is:
16 meters ÷ 2 rows = 8 meters per tile
Similarly, the width of each tile should be:
8 meters ÷ 1 tile = 8 meters per tile
Therefore, the tile dimension should be 8 meters by 8 meters.
16 ÷ 8 = 2
8 ÷ 8 = 1
This means that we can cover the entire room with 2 rows of tiles that are 1 tile wide each. So, the length of each tile should be equal to the length of the room divided by the number of rows of tiles, which is:
16 meters ÷ 2 rows = 8 meters per tile
Similarly, the width of each tile should be:
8 meters ÷ 1 tile = 8 meters per tile
Therefore, the tile dimension should be 8 meters by 8 meters.
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