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The sides of an equilateral triangle are increasing at the rate of $2 \mathrm{~cm} / \mathrm{sec}$. The rate at which the area increases, when side is $10 \mathrm{~cm}$ is:

MathematicsApplication of Derivatives

Options:

A
$10 \mathrm{~cm}^2 / \mathrm{s}$
B
$\sqrt{3} \mathrm{~cm}^2 / \mathrm{s}$
C
$10 \sqrt{3} \mathrm{~cm}^2 / \mathrm{s}$
D
$\frac{10}{3} \mathrm{~cm}^2 / \mathrm{s}$

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