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Set R is a set of rectangles such that (1) only the grid points shown here are used as vertices, (2) all sides are vertical or horizontal and (3) no two rectangles in the set are congruent. If R contains the maximum possible number of rectangles given these conditions, what fraction of the rectangles in set R are squares? Express your answer as a common fraction.

 Dec 23, 2019
 #1
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The set R will contains 16 rectangles and four squares, so the fraction of square is 4/20 = 1/5.

 Dec 23, 2019
 #2
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the answer was 2/5, but thanks anyway!

Guest Dec 23, 2019

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