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What is the arithmetic mean (average) of the areas of all noncongruent rectangles with integer side lengths and perimeter 8 units?

 May 26, 2020
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Possible rectangles and areas of each:

1 x 3  = 3

2 x 2  = 4   

  ( 3+4))/ 2   =3.5 units2

 

 

(I assumed a 3 x 1 rectangle was the same as a 1 x 3 rectangle)

 May 26, 2020

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