The length of a rectangle increases at while its width decreases at

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

The length of a rectangle increases at

2\,\text{cm/s}

while its width decreases at

1\,\text{cm/s}

. What is the rate of change of its perimeter when the length is

10\,\text{cm}

and the width is

6\,\text{cm}

? (a)

6\,\text{cm/s}

(b)

2\,\text{cm/s}

(c)

3\,\text{cm/s}

(d)

-2\,\text{cm/s}