A rectangle is growing such that the length of a rectangle is 5t+4 and its height is √t, where t is time in seconds and the dimensions are in inches. Find the rate of change of area, A, with respect to time.

square inches per seconds.

Step-by-step explanation:

given that a rectangle is growing such that the length of a rectangle is 5t+4 and its height is √t, where t is time in seconds and the dimensions are in inches

Area of rectangle = length * width

A =

To find rate of change of A with respect to t, we can find derivative of A with respect to t.

WE get

Hence rate of change of area with respect to time is

square inches per seconds.

1 x=22.52

2: 65/39=604+39x

65x-39x=604

26x=604

x=604/26

×=23.23