Answer
$140 \frac{cm^{2}}{s}$
Work Step by Step
Use the area of the rectangle: $(A = lw)$
$\frac{dA}{dt} = \frac{dl}{dt}w + l\frac{dw}{dt}$
$\frac{dA}{dt} = 8(10) + 20(3)$
$\frac{dA}{dt} = 80 + 60$
$\frac{dA}{dt} = 140 \frac{cm^{2}}{s}$
Calculus: Early Transcendentals 8th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1285741552
ISBN 13:
978-1-28574-155-0
Chapter 3 - Section 3.9 - Related Rates - 3.9 Exercises - Page 249: 4
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