Yuma, arizona, recieves 102 1/100 fewer inches of rain each year than quillayute, washington, which receives 105 9/50 inches per year. how much rain does yuma get in one year?

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.