Question

The length of a triangle is increasing at a rate of 8 cm/s and its 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 area of the rectangle increasing?

Answer 1

are we talking about a rectangle or triangle ??

Answer 2

rectangle...

Answer 3

\[A = L*W\]

find dA/dt using product rule
\[\frac{dA}{dt} = \frac{dL}{dt}*W + L*\frac{dW}{dt}\]

Answer 4

what numbers get plugged in where?

Answer 5

L is length , W is width
dL/dt is rate length is increasing
dW/dt is rate width is increasing