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First, think of the possible factors of the perimeter.

Example.... 36

6 x 6

1 x 36

2 x 18

3 x 12

I will use 2 x 18. Now you divide both 2 and 18 by 2. That equals 1 and 9. Now multiple 1 x 9 = 18 so the perimeter of a 36 cm rectangle is 18

OR try 6 x 6 which reduces to 3 and 3, and their product is 9.

I do believe that just the perimeter is insufficient data for a valid answer.

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You can't. The perimeter doesn't tell the area. There are an infinite number of

shapes with different dimensions and different areas that all have the same

perimeter.

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