The minimum number of tiles of size 16 by 24 required to form a square by placing them adjacent to one another is
To form the smallest possible square from rectangular tiles, the side length of that square must be the first number that is a multiple of both dimensions of the tile. This is known as the Least Common Multiple (LCM).
- The dimensions of one tile are 16 and 24.
- We need to find the LCM of 16 and 24.
The smallest square that can be formed will have a side length of 48 units.
Now, we can determine how many tiles are needed to create this 48x48 square:
To form the complete square, we will need a grid of 2 tiles by 3 tiles.
Total number of tiles = 2 × 3 = 6 tiles.
Final Answer: The minimum number of tiles required is 6.
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