The side of a square sheet of a metal is increasing at 3 cm per minute . At what rate is the area increasing when the side is 10 cm long ?

Explanation

To solve the problem step by step, we will follow these instructions:

### Step 1: Define the variables
Let \( L \) be the length of the side of the square sheet. The rate at which the side is increasing is given as \( \frac{dL}{dt} = 3 \) cm/min.

### Step 2: Write the formula for the area of the square
The area \( A \) of a square is given by the formula:
\[
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