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Find perimeter of polygons

Perimeter is the total distance around a polygon, found by adding the lengths of all its sides, with measurements expressed in consistent linear units. The reasoning includes interpreting irregular and regular polygon diagrams, determining missing side lengths when sufficient information is provided, and distinguishing perimeter from area; symbolic algebraic formulas, composite figures requiring advanced decomposition, and curved boundaries are outside this scope.

Detailed Explanation: Find perimeter of polygons

Perimeter is the total distance around a polygon. To find it, add the lengths of all its sides. Make sure all measurements use the same unit.

Example: Find the perimeter of a polygon with side lengths (6 cm)(6\text{ cm}), (4 cm)(4\text{ cm}), (3 cm)(3\text{ cm}), (5 cm)(5\text{ cm}), and (2 cm)(2\text{ cm}).

  1. List every side length as you move around the polygon:
6, 4, 3, 5, 2 6,\ 4,\ 3,\ 5,\ 2
  1. Add the side lengths:
P=6+4+3+5+2 P=6+4+3+5+2
  1. Calculate:
P=20 cm P=20\text{ cm}

The perimeter is 20 cm\boxed{20\text{ cm}}.

Remember: perimeter measures the distance around a shape, not the space inside it.

Learn by doing: Find perimeter of polygons

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