The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of 5 cm/s. when the length is 10 cm and the width is 4 cm, how fast is the area of the rectangle increasing

the formula for the area of a rectangle relates area, length, and width.the quantities a, l, and w are all functions of time; therefore, we can use the chain rule to differentiate both sides of the equation with respect to time. then we need to use the product rule to differentiate .substitute information in.

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