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Third/Geometry

Compare Perimeters

Compare the perimeters of two shapes and choose which one is greater or if they are the same.
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Prerequisites
Perimeter: Find Missing Side Lengths9 WS
A square has a perimeter of 20 cm. Three sides are 5 cm each. What is the length of the missing side?
What to Do Next
Perimeter Story Problems: With Diagrams6 WS
Sara wants to put a fence around her rectangular garden. The garden is 7 ft long and 3 ft wide. How much fencing does she need? ____ ft

Practice Questions

  1. Which has a greater perimeter: a rectangle with sides 2 centimeters and 6 centimeters, or a square with sides 5 centimeters?
    Show answer

    (B) Square

  2. Which has a greater perimeter: a rectangle with sides 3 centimeters and 4 centimeters, or a square with sides 4 centimeters?
    Show answer

    (B) Square

  3. Which has a greater perimeter: a rectangle with sides 5 centimeters and 2 centimeters, or a square with sides 4 centimeters?
    Show answer

    (B) Square

  4. Which has a greater perimeter: a rectangle with sides 3 centimeters and 5 centimeters, or a square with sides 4 centimeters?
    Show answer

    (C) Same

  5. Which has a greater perimeter: a rectangle with sides 2 centimeters and 7 centimeters, or a square with sides 5 centimeters?
    Show answer

    (B) Square

Quick Tip
Tip: Perimeter is the distance all the way around. Add the sides for a rectangle (2 × (length + width)) and multiply a side by 4 for a square.
Teacher Resources
Teaching Notes

Introduce perimeter as the distance around a shape. Students can count units on a grid or add side lengths for given shapes.

Vocabulary
Perimeter: The total distance around the outside of a shape.
Compare: To look at two things and see how they are alike or different.
Common Mistakes
  • Counting corners or vertices instead of units along the edges.
  • Miscounting units, especially with irregular shapes.
  • Incorrectly comparing the final perimeter values.
Differentiation
SupportProvide grid paper; highlight the path around shapes.
ChallengeUse shapes with varying side lengths; include non-grid examples.
Discussion Questions
  • What does 'perimeter' mean in your own words?
  • How do you find the perimeter of a shape?
  • Why might we want to compare the perimeters of different shapes?
  • Can two shapes with different appearances have the same perimeter?
Extension Activities
  • Draw shapes with equal perimeters.
  • Find shapes with the largest perimeter.
  • Create a perimeter comparison chart.
Parent Tip

Have your child measure and compare the perimeters of different rooms.

Learning Path
Skill Cluster

Measurement and Geometry

Estimated Time

15 minutes

Skills Practiced
Calculate perimeterCompare numbersIdentify shapes