The side of an equilateral triangle is increasing at the rate of $2 \mathrm{~cm} / \mathrm{s}$, then the…

The side of an equilateral triangle is increasing at the rate of $2 \mathrm{~cm} / \mathrm{s}$, then the rate at which the area is increasing when the side of the triangle is $20 \mathrm{~cm}$ is
  1. $5 \sqrt{3} \mathrm{~cm}^2 / \mathrm{s}$
  2. $10 \sqrt{3} \mathrm{~cm}^2 / \mathrm{s}$
  3. $25 \sqrt{3} \mathrm{~cm}^2 / \mathrm{s}$
  4. $20 \sqrt{3} \mathrm{~cm}^2 / \mathrm{s}$

Solution

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Asked in: AP EAMCET 2020 (07 Oct Special)

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