A rectangle has width w inches and height h inches, where the width is twice the height. Both w and h are functions of time t, measured in seconds. If A represents the area of the rectangle, which of the following gives the rate of change of A with respect to t?

A. dA/dt=4h in/sec

B. dA/dt=3h dh/dt in^2/sec

C. dA/dt=4h dh/dt in/sec

D. dA/dt=4h dh/dt in^2/sec

Question

Porter Wong

30 September, 12:03

+1

Answers (1)

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Laila Monroe · Answer 1

D.

Step-by-step explanation:

Area=w*h

w*h = (2h) * (h) = 2h^2

dA/dt=2 (2h) = 4h

dA/dt=4h dh/dt in^2/sec