1) The graphs of y=radical of x, x=9, and y=0 bound a region in the first quadrant. Find the dimensions of the rectangle of maximum area and the dimensions of the rectangle of maximum perimeter that can be inscribed in this region. (the sides of the rectangles should be parallel to the axes)
-I was able to get the Area as (9-x)(the radical of x) and the perimeter as
2(9-x)+2(the radical of x). However, I don't know what i need to do next in order to solve the problem.