The permieter of a polygon is `24.5 cm.` Each side of the polygon is `3.5 cm1 in length. Find the number of sides of the polygon.

Answer

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

### Step 1: Understand the given information
We know that:
- The perimeter of the polygon is \( 24.5 \, \text{cm} \).
- The length of each side of the polygon is \( 3.5 \, \text{cm} \).

### Step 2: Use the formula for the number of sides
The formula to find the number of sides \( n \) of a polygon is given by:
\[ n = \frac{\text{Perimeter}}{\text{Length of each side}} \]

### Step 3: Substitute the values into the formula
Now, substituting the given values into the formula:
\[ n = \frac{24.5 \, \text{cm}}{3.5 \, \text{cm}} \]

### Step 4: Simplify the division
To simplify the division, we can convert the decimal values into fractions or perform the division directly. Let's divide:
\[ n = \frac{24.5}{3.5} \]

To make the division easier, we can multiply both the numerator and denominator by 10 to eliminate the decimal:
\[ n = \frac{24.5 \times 10}{3.5 \times 10} = \frac{245}{35} \]

### Step 5: Perform the division
Now, we can simplify \( \frac{245}{35} \):
- Divide both the numerator and denominator by 5:
\[ n = \frac{245 \div 5}{35 \div 5} = \frac{49}{7} \]

### Step 6: Calculate the final result
Now, divide \( 49 \) by \( 7 \):
\[ n = 7 \]

### Conclusion
The number of sides of the polygon is \( 7 \).

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