Mark the correct alternative in the following:

Side of an equilateral triangle expands at the rate of 2 cm/sec. The rate of increase of its area when each side is 10 cm is


The area of an equilateral triangle, with side a, is defined as

– (1)


Given that and a=10cm, we have to calculate


Differentiating (1) with respect to t, we get



Substituting the values, we get



=10√3 cm2 /sec

1