Subjects geometry

Pentagon Perimeter 417Ab7

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1. **Problem Statement:** Decide whether the statement "The perimeter of a pentagon is five times the length of one side" is true or false. 2. **Formula for Perimeter of a Polygon:** The perimeter $P$ of a polygon with $n$ sides, each of length $s$, is given by: $$P = n \times s$$ 3. **Applying to a Pentagon:** A pentagon has 5 sides, so $n = 5$. If each side has length $s$, then the perimeter is: $$P = 5 \times s$$ 4. **Interpretation:** The statement says the perimeter is five times the length of one side, which matches the formula exactly. 5. **Conclusion:** The statement is **True** because the perimeter of a pentagon is indeed five times the length of one side.