Which definite integral approximation formula is the integral from a to b of f of x, dx is approximately equal to the product of the quantity b minus a over n and the quantity y sub 0 plus y sub 1 plus y sub 2 plus y sub 3 plus dot dot dot plus y sub n minus 1?

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.