X^3+2/3x^4-1/2x^2 integral

Ineed if you could explain and give me the answer you! this needs done

Rectangle leg this 11feet and perimeter of 38feet what is the width of the rectangle in feet

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.