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Class 12 Applications Of Derivatives · Mcq Single Correct1 Marksrelated_rates

Class 12 Maths · Applications Of Derivatives · Mcq Single Correct #84

An equilateral triangle side increases at 2 cm/s. Find its area growth rate when the side is 10 cm.

(A) 10 cm²/s
(B) √3 cm²/s
(C) 10√3 cm²/s
(D) 10/√3 cm²/s

✅ Step-by-Step Solution

Final Answer: Option (C): 10√3 cm²/s

A=√3a²/4, so Ȧ=(√3/2)a ȧ=(√3/2)·10·2=10√3.

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