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

To find the rate at which the area of an equilateral triangle increases when the side length is 10 cm, we can follow these steps:

### Step 1: Understand the relationship between the side length and the area of an equilateral triangle.
The area \( A \) of an equilateral triangle with side length \( a \) is given by the formula:
\[ A = \frac{\sqrt{3}}{4} a^2 \]

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