Solve. Remember to insert units when writing your answer. A carpenter needs to cut a board into fourths. If the board is 32 ft 8 in. long originally, how long will each cut be?​

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.