# The side of an equilateral triangle is increasing at the rate of 2 cm/s. At what rate is its area increasing when the side of the triangle is 20 cm?

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The side of an equilateral triangle is increasing at the rate of 2 cm/s. At what rate is its area increasing when the side of the triangle is 20 cm?

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Let 'A' be the area and 'a' be the side of an equilateral triangle.

$A = \frac{\sqrt3}{4}a^2$

Differentiating with respect to t we get