Question

The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of 3 cm/s. When the length is 20 cm and the width is 10cm, how fast is the are of the rectangle increasing?

Answer 1

\[A=Lw\]product rule:
\[dA/dt=(dL/dt)w+(dw/dt)L\]Plug in the numbers and solve!

Answer 2

perfect, thanks!!!