Answer :

Let the side of the equilateral triangle be x cm, then the area of the equilateral triangle is

So as per the question rate of side increasing at instant of time t is

Now differentiating area with respect to time t, we get

Taking out the constants we get,

Now applying the derivative, we get

Now substituting the given value of , we get

So when side x=10cm, the above equation becomes,

Hence, the rate at which the area increases, when side is 10 cm is 10√3 cm2/s.

So the correct option is option C.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses

The side of an eqMathematics - Board Papers

For the curve, <sMathematics - Board Papers

The money to be sMathematics - Board Papers

<span lang="EN-USMathematics - Board Papers

The side of an eqMathematics - Board Papers

The volume of a sMathematics - Board Papers