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Textbook Expert
Textbook ExpertVerified Tutor
11 Nov 2021

Given information

Each side of a square is increasing at a rate of .

That is,

 

The area of the square is .

Step-by-step explanation

Step 1.

The area of a square with a length of side can be calculated as:

 

Differentiate the above equation with respect to :

 

When the area of the square is , then the length of the side is .

Substitute and in the equation (1):

 

 

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