The length of a rectangle is four times its width. If the perimeter is at most 106 centimeters , what is the greatest possible value for the width 2w+2*(4w)≤106
2w+2*(4w)≥106
2w+2*(4w) 106

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.