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Solve perimeter problems

Perimeter is the total distance around a closed polygon, found by adding the lengths of all its sides in consistent units; learners solve real-world problems involving rectangles, other polygons, and composite rectilinear figures, including finding an unknown side when the perimeter and remaining sides are known. They distinguish perimeter from area and interpret diagrams and measurements accurately; this scope excludes circumference, algebraic generalization, and more advanced geometric cases.

Detailed Explanation: Solve perimeter problems

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

Example: A rectangular garden is 8 m8\text{ m} long and 5 m5\text{ m} wide. What is its perimeter?

  1. A rectangle has two equal lengths and two equal widths:

    • Lengths: 8 m8\text{ m} and 8 m8\text{ m}
    • Widths: 5 m5\text{ m} and 5 m5\text{ m}
  2. Add all four sides:

8+5+8+5=268+5+8+5=26
  1. Include the unit:
26 m\boxed{26\text{ m}}

The garden’s perimeter is 26 m26\text{ m}. Perimeter measures the distance around the garden, not the space inside it.

Learn by doing: Solve perimeter problems

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Cartesian Grid - Diagram Coordinates to Perimeter (Rectangle) - Including Negative


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