Linda ran 5 1/6 miles the first week and 3 1/3 miles the second week. She doubled her second week's distance the third week. What is the total number of miles she ran in 3 weeks?

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.