Travis works at a kite factory. he checks all the kites before they are packaged. travis discovered that for every 28 kites that passed inspection, there were 7 kites that did not pass: 4 kites did not have tails and 3 kites had the wrong colors. of the 476 kites travis examined, how many did not have tails and how many had the wrong colors?

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.