The trail to a waterfall is 4 1/5 miles long .the trail to an overlook is 1 2/3 times as long as the trail to the waterfall. which best describes the length of the trail to the overlook

a. the trail is 5 13/15 miles long

b. the trail is no more than 6 miles long

c. the trail is 7 miles long

d. the trail is more then 8 miles long

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.