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What will be the perimeter of a 12-sided...

What will be the perimeter of a 12-sided regular figure of side 12.2 m ?

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To find the perimeter of a 12-sided regular figure (also known as a dodecagon) with each side measuring 12.2 meters, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the number of sides (n)**: The figure is a 12-sided polygon, so \( n = 12 \). 2. **Identify the length of each side (s)**: Each side of the polygon is given as 12.2 meters, so \( s = 12.2 \, \text{m} \). 3. **Use the formula for the perimeter of a regular polygon**: The perimeter \( P \) of a regular polygon can be calculated using the formula: \[ P = n \times s \] 4. **Substitute the values into the formula**: Now, substituting the values of \( n \) and \( s \) into the formula: \[ P = 12 \times 12.2 \] 5. **Calculate the perimeter**: Now, perform the multiplication: \[ P = 12 \times 12.2 = 146.4 \, \text{m} \] 6. **State the final answer**: Therefore, the perimeter of the 12-sided regular figure is \( 146.4 \, \text{meters} \). ### Final Answer: The perimeter of the 12-sided regular figure is **146.4 meters**.
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