The sides of an equilateral triangle are increasing at the rate of 2 cm/sec. Find the rate at which the area increases, when the side is 10 cm.

Explanation

Area of an equilateral triangle, `A=frac{sqrt{3}}{4} a^{2}` where


`a=` Side of an equilateral triangle


Given:



`frac{d a}{d t}=2 {cm} / {s}`



Now,



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