The dimensions of a rectangular pool are 26.5 feet by 14 feet. The depth of the water when full is 5 feet. Each cubic foot contains 7.48
gallons of water. How many gallons of water, to the nearest tenth, are
needed to fill the pool to 80% capacity?

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.