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.
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