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You can have a regular polygon with n sides where the length of each side is 13/n units. For example, a triangle with sides of 4.33... units, or a square with sides of 3.25 units etc.

Or you can have irregular polygons - a triangle with sides of 4,4 and 5 units, etc.

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Q: How do you make a shape with 13 units in perimeter?
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