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Example:Calculating the Perimeter of a Regular Polygon

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To determine the perimeter of a shape, you need to know the lengths of all its sides. The perimeter is calculated by adding up the lengths of these sides.

Let's say you have a regular polygon with n sides, each of length ( s ). The perimeter ( P ) can be calculated using the formula:

[ P = n \times s ]

Solution:

  1. Identify the Number of Sides (( n )) and the Length of Each Side (( s ))

    • For example, if the polygon is a square, ( n = 4 ).
    • If the shape is a regular triangle (equilateral triangle), ( n = 3 ).
  2. Plug the Values into the Formula

    [ P = n \times s ]

  3. Calculate the Perimeter

    • For a square with each side ( 2.25 ) units: [ P = 4 \times 2.25 = 81 \text{ units} ]

    • For an equilateral triangle with each side ( 27 ) units: [ P = 3 \times 27 = 81 \text{ units} ]

Final Answer:

[ \boxed{81} ]

Example:Calculating the Perimeter of a Regular Polygon

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