It is fourth down and a yard to go for a first down in an important football game. the football coach must decide whether to go for the first down or punt the ball away. the null hypothesis is that the team will not get the first down if they go for it. the coach will make a type i error by doing what?

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.