Consider this scenario: For each year t, the population of a forest of trees is represented by the function A(t) = 111(1.029)t.
In a neighboring forest, the population of the same type of tree is represented by the function
B(t) = 86(1.027)t.
By how many?

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.