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Area of a Square

The side of a...

Question

The side of a square isacm long, and is increasing at the rate ofbcm per hour. How fast is the area increasing?

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Solution

Answer:

Length of side of square = a cm

And increment in sides per hr = b cm

We know area of square = ( Side length )²
So,
Area of square = a²
After one hr = ( a + b ) ² = a² + b² + 2ab
Then
Area is increase by = a² + b² + 2ab - a² = b² + 2ab ( Ans )

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