The length of a rectangle increases at and its width increases at

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

The length of a rectangle increases at

2\,\text{m/min}

and its width increases at

50\,\text{cm/min}

. At that instant, what is the rate of change of its perimeter in

\text{m/min}

? (a)

2.5

(b)

10

(c)

5

(d)

4