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Can you make a square with 24 tiles? Why or Why not?

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Answer:

Explanation:

Can you make a square with 24 tiles? Why or Why not?-example-1
User Pranami
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4 votes

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.

User Cute
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