The price tag on the swimsuit was 32.00 the sign on the rack said sale one fourth off all swimwear what was the sale price of the swimsuit how many can you buy with 50.00?

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.