Question

question 28 · 1 point a rectangle has a length that is increasing at a rate of 10 mm per second with the width being held constant. what is the rate of change of the area of the rectangle if the width is 8 mm? (do not include the units in your answer.) provide your answer below:

Explanation:

Step1: Recall area formula

$A = lw$ (where $A$ is area, $l$ is length, $w$ is width)

Step2: Differentiate with respect to time

$\frac{dA}{dt}=w\frac{dl}{dt}$ (since $w$ is constant)

Step3: Substitute given values

$\frac{dA}{dt}=8\times10 = 80$

Answer:

80