Select any number, W, between 0 and 4 units.
Consider a rectangle with width W and length, L = 8 - W units.
Then the rectangle with dimensions L and W will have a perimeter of 16 units.
Since there are infinitely many possible values for W, there are infinitely many possible answers to the question.
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length 5 units,width 3 units p=2(L+W) p=2(5+3) p=10+6 p=16 units
The smallest is just over 40 units. At 40 units it is no longer a rectangle but a square. There is no largest perimeter.
1024
Length of rectangle is 18 units and its width is 2 units
The rectangle is in fact a square with 4 equal sides of 5 units in length.