Question 1189805
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<pre>

If L and W are the length and the width of a rectangle, then L and W in our problem must be integer numbers satisfying  

    L + W  = 16/2 = 8,   or   L =  8 - W.


and we want to have L > W  (the case L = W = 4 is excluded, by the condition).


So, the possible pairs (dimensions) are


   T  A  B  L  E 
 

     L      W

  ---------------

     7      1

     6      2

     5      3


As you see from the Table, there are three pairs possible dimensions for non-congruent rectangles.
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Solved.