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Since you are using integers, the first place to look would be if two sides are equal to 1 meter. Then the other two sides are 24/2 - 1 meter, or 11 meters. Once you know this, you can divide 24 by 4 (the 4 sides of a rectangle) to see that a square version of this rectangle is 6 meters. So, all of the possible dimensions (without reversed duplicates) go from 1 meter to 6 meters:

1x11

2x10

3x9

4x8

5x7

6x6

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Q: What are all the possible dimensions in whole numbers for a rectangle with a perimeter of 24 meters?
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