The side of an equilateral triangle is increasing at the rate of 2 cm/s. The rate at which area increases when the side is 10 cm will be

Explanation: Given Data Side of the equilateral triangle ( ) = Rate of change of the side ( ) = Formula The area ( ) of an equilateral triangle is: Differentiation Differentiating both sides with respect to time ( ): Calculation Substitute the values and : Final Answer The rate at which the area increases is:

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