Since the perimeter is a sum of lengths, it will also be a length.
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Linear units. Metres, kilometres, feet, inches etc
units with perimeter square units with area
Units, because the perimeter is just the edge. The area is square units.
Any shape can have a perimeter of 6 units, depending on what those units are.
They will be both the same because the perimeter of the square is 32 units and the perimeter of the rectangle is also 32 units