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## Each side of a square is increasing at a rate of 4 cm/s. At what rate (in cm2/s) is the area of the square increasing when the area of the s

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Each side of a square is increasing at a rate of 4 cm/s. At what rate (in cm2/s) is the area of the square increasing when the area of the square is 25 cm2

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Mathematics
3 months
2021-07-28T14:36:20+00:00
2021-07-28T14:36:20+00:00 1 Answers
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## Answers ( )

Answer:The area of the square is increasing at a rate of 40 square centimeters per second.

Step-by-step explanation:The area of the square (), in square centimeters, is represented by the following function:

(1)Where is the side length, in centimeters.

Then, we derive

(1)in time to calculate the rate of change of the area of the square (), in square centimeters per second:(2)Where is the rate of change of the side length, in centimeters per second.

If we know that and , then the rate of change of the area of the square is:

The area of the square is increasing at a rate of 40 square centimeters per second.