Which point on the accompanying number line best represents sqaure root of 3

What is a graph with a never ending line called?

If u good at math hit me up on insta or sum @basic_jaiden or @ and

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.