Of all rectangles with a perimeter of 23, which one has the maximum area? If x and y are the length and width of the rectangle, respectively, then the area of the rectangle is A =xy, where 2x + 2y = |23| Writing the area function as a function of x, it follows that the area is N and at the critical point of A It follows that A has an absclute maximum value at x=|5.75|. Therefore, the rectangle that has the 11.5-2x A(x)= x[fJ ,where |0|=x =|5.75| Evaluate A at the endpoints of | (2| maximum area has a length of |5.75| and a width of |5.75|. (Simplify your answers.)