1.6k views
2 votes
The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of 3 cm/s. When the length is 7 cm and the width is 5 cm, how fast is the area of the rectangle increasing (in cm2/s)

User Bjnr
by
8.6k points

1 Answer

2 votes

Answer:

A = lw

dA = l(dw) + w(dl)

= (7 cm)(7 cm/s) + (5 cm)(3 cm/s)

= (49 + 15) cm²/s = 64 cm²/s

User Eldjon
by
7.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories