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A rectangle is called cool if the number of square units in its area is equal to twice the number of units in its perimeter. A cool rectangle also must have integer side lengths. What is the sum of all the different possible areas of cool rectangles?

 Oct 23, 2018
 #1
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I'm seeing (5,20), (6, 12), (8,8) as the possible cool rectangles so 

 

100 + 72 + 64 = 236

 Oct 23, 2018

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