The length of a rectangle is increasing at a rate of 9 cm/sec while the width w is decreasing at a rate of 9 cm/sec. When {=8 cm and w= 15 cm, find the rates of change of the area, the perimeter, and the lengths of the diagonals of the rectangle. Determine which of these quantities are increasing, decreasing, or constant. The rate of change of the area of the rectangle is (Simplify your answer.) cm/sec.