The length E of a rectangle is decreasing at a rate of 4 cm/sec while the width w is increasing at a rate of 4 cm / sec. When = 24 cm and w =7 cm, find the rates of change of the area, the perimeter, and the lengths (Simplify your answer.) of the diagonals of the rectangle. Determine which of these quantities are increasing, decreasing, or The rate of change of the area of the rectangle is cm / sec. constant. Is the area increasing, decreasing, or constant? OA. Decreasing OB. Increasing O C. Constant The rate of change of the perimeter of the rectangle is (Simplify your answer.) cm/ sec Is the perimeter increasing, decreasing, or constant? O A. Constant OB. Decreasing OC. Increasing cm/sec The rate of change of the length of the diagonals of the rectangle is Tvne a simnlified frartion 1