Hector buys a used car with an odometer reading of 31,250 miles. after the first month, the mileage shows an increase of 5%. after the second month, the mileage increases 4% from the first month. what is the odometer reading on hectors car after 2 months

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.