Elijah and Jonathan play on the same soccer team. They have played 3 of their 15 games. They each create a model to represent , the number of games their team has left to play. Their models are shown below. Explain whether each model is correct.

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.