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Question -

The side of a square sheet is increasing at the rate of 4 cm per minute. At what rate is the area increasing when the side is 8 cm long?



Answer -

Given the side of a square sheet is increasing at the rate of 4cm per minute.

To find rate of area increasing when the side is 8 cm long

Let the side of the given square sheet be x cm at any instanttime.

Then according to the given question, we can write as

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