Each side of a polygon is 3.8 cm in length and its perimeter is 22.8 cm. How many sides does the polygon have?

Answer

To find the number of sides of the polygon, we can follow these steps:

### Step 1: Understand the relationship between the perimeter and the sides of the polygon.
The perimeter of a polygon is the total length around the polygon, which is the sum of the lengths of all its sides. If each side of the polygon is of equal length, we can express the perimeter as:
\[ \text{Perimeter} = \text{Number of sides} \times \text{Length of each side} \]

### Step 2: Set up the equation.
Let \( x \) be the number of sides of the polygon. Given that each side is 3.8 cm and the perimeter is 22.8 cm, we can set up the equation:
\[ 22.8 = x \times 3.8 \]

### Step 3: Solve for \( x \).
To find \( x \), we can rearrange the equation:
\[ x = \frac{22.8}{3.8} \]

### Step 4: Perform the division.
Now, we will calculate the value of \( x \):
\[ x = \frac{22.8}{3.8} = 6 \]

### Conclusion:
The number of sides of the polygon is \( 6 \).

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