A rectangle initially has dimensions 2 cm by 6 cm. All sides begin increasing in length at a rate of 5 cm/s. At what rate is the area of the rectangle increasing after 24 s? Let A, b, and h be the area, base, and height of a rectangle, respectively. Write an equation relating A, b, and h. Differentiate both sides of the equation with respect to t. dA at = at at After 24 s, the area of the rectangle is increasing at a rate of V