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Find the side of the regular hexagon who...

Find the side of the regular hexagon whose perimeter is 36 m.

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To find the side of a regular hexagon whose perimeter is 36 m, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Perimeter of a Regular Hexagon**: The perimeter (P) of a regular hexagon can be calculated using the formula: \[ P = 6 \times \text{side} \] where "side" is the length of one side of the hexagon. 2. **Set Up the Equation**: We know the perimeter is given as 36 m. Therefore, we can set up the equation: \[ 6 \times \text{side} = 36 \] 3. **Isolate the Side**: To find the length of one side, we need to isolate "side" in the equation. We can do this by dividing both sides of the equation by 6: \[ \text{side} = \frac{36}{6} \] 4. **Calculate the Side Length**: Now, we perform the division: \[ \text{side} = 6 \text{ m} \] 5. **Conclusion**: The length of each side of the regular hexagon is 6 meters. ### Final Answer: The side of the regular hexagon is **6 meters**. ---
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Knowledge Check

  • The ratio of the area of a square to the area of a regular hexagon, having the same perimeter is:

    A
    `2:3`
    B
    `sqrt(3):2`
    C
    `1:sqrt(3)`
    D
    `4:3sqrt(3)`
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