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A display board is in the shape of a reg...

A display board is in the shape of a regular heptagon with each side 6 feet. Find its perimeter.

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To find the perimeter of a regular heptagon with each side measuring 6 feet, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Shape**: A heptagon is a polygon with 7 sides. Since it is a regular heptagon, all sides are of equal length. 2. **Identify the Length of Each Side**: According to the problem, each side of the heptagon is 6 feet. 3. **Use the Perimeter Formula**: The formula for the perimeter (P) of a regular heptagon is given by: \[ P = 7 \times \text{length of one side} \] 4. **Substitute the Length of the Side**: Now, substitute the length of one side (6 feet) into the formula: \[ P = 7 \times 6 \text{ feet} \] 5. **Calculate the Perimeter**: Perform the multiplication: \[ P = 42 \text{ feet} \] 6. **State the Final Answer**: Therefore, the perimeter of the display board is 42 feet. ### Final Answer: The perimeter of the display board is **42 feet**.
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