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The sides of a pentagon are 6 cm, 8 cm, ...

The sides of a pentagon are 6 cm, 8 cm, 5.4 cm, 6.6 cm and 7 cm long, find its perimeter.

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To find the perimeter of the pentagon with sides measuring 6 cm, 8 cm, 5.4 cm, 6.6 cm, and 7 cm, we will follow these steps: ### Step-by-Step Solution: 1. **Identify the lengths of the sides of the pentagon:** - Side 1: 6 cm - Side 2: 8 cm - Side 3: 5.4 cm - Side 4: 6.6 cm - Side 5: 7 cm 2. **Write the formula for the perimeter of a polygon:** - The perimeter (P) of a polygon is calculated by adding the lengths of all its sides. - Formula: \( P = \text{Side 1} + \text{Side 2} + \text{Side 3} + \text{Side 4} + \text{Side 5} \) 3. **Substitute the lengths of the sides into the formula:** \[ P = 6 + 8 + 5.4 + 6.6 + 7 \] 4. **Perform the addition step-by-step:** - First, add the whole numbers: - \( 6 + 8 = 14 \) - \( 14 + 7 = 21 \) - Now, add the decimal numbers: - \( 5.4 + 6.6 = 12 \) - Finally, add the results from both parts: - \( 21 + 12 = 33 \) 5. **Conclusion:** - The perimeter of the pentagon is \( 33 \, \text{cm} \). ### Final Answer: The perimeter of the pentagon is **33 cm**. ---
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