any convenient unit of length
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No. Just like a length, a perimeter is measured in linear units.
Because the perimeter is a linear measurement, and area is measured by multiplying 2 linear measurements together.
It's a length.
No, perimeter is always measured in units of length (L)
If the perimeter is already measured in inches, there is nothing to convert. There are 18 inches in a perimeter of 18 inches.