Lin and Tyler are drawing circles. Tyler’s circle has twice the diameter of Lin’s circle Tyler thinks that his circle will have twice the area of Lin’s as well do you agree with Tyler

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.