Each side of a polygon is 2.9 cm in length and its perimeter is 17.4 cm. Hold 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 can be calculated using the formula:
\[ \text{Perimeter} = \text{Number of sides} \times \text{Length of each side} \]
Let the number of sides be \( x \) and the length of each side be \( 2.9 \) cm.

### Step 2: Set up the equation.
Given that the perimeter is \( 17.4 \) cm, we can write the equation as:
\[ 17.4 = x \times 2.9 \]

### Step 3: Solve for \( x \).
To find \( x \), we need to isolate it in the equation. We can do this by dividing both sides of the equation by \( 2.9 \):
\[ x = \frac{17.4}{2.9} \]

### Step 4: Perform the division.
Now, we will divide \( 17.4 \) by \( 2.9 \). To make the division easier, we can eliminate the decimal by multiplying both the numerator and the denominator by \( 10 \):
\[ x = \frac{17.4 \times 10}{2.9 \times 10} = \frac{174}{29} \]

Now, we perform the division:
\[ 174 \div 29 = 6 \]

### Step 5: Conclusion.
Thus, the number of sides \( x \) of the polygon is \( 6 \).

### Final Answer:
The polygon has **6 sides**.

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