The perimeter of a triangle is `50` `cm`. One side of the triangle is `4` `cm` longer than the smaller side and the third side is `6` `cm` less than twice the smaller side. Find the area of the triangle.

Explanation

To solve the problem step by step, we will first define the sides of the triangle based on the information provided, then calculate the semi-perimeter, and finally use Heron's formula to find the area.

### Step 1: Define the sides of the triangle
Let the smallest side of the triangle be \( x \) cm.

- The second side, which is 4 cm longer than the smallest side, will be:
\[
b = x + 4 \text{ cm}
...