Answer:
yes
Explanation:
You want to know if 24 tiles can be used to make a square.
Aspect ratio
24 tiles can be made into rectangles of different aspect ratios:
1 × 24
2 × 12
3 × 8
4 × 6
If the aspect ratio of a tile matches any of these, then 24 tiles can be used to make a square.
For example, a 2×3 tile shape can be arranged in rows of 6 tiles along the "2" dimension and 4 tiles along the "3" dimension. Then the total side length in each case is ...
6×2 = 12 = 4×3
and the resulting figure is a square.
Hole in the middle
24 square tiles can be arranged in a 5×5 array with a missing tile in the middle spot. That array will be square.
Similarly, they can be arranged in a square outline that has 7 tiles on each side (5 between the corner tiles).
24 square tiles cannot be used to make a solid square. For that, you need a square number of tiles.