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Grade 5/Geometry

Compare Area and Perimeter Statements: Multiple Choice

Decide which statement about the areas and perimeters of two rectangles is correct.
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Practice Questions

  1. Rectangle A is 8 units by 3 units. Rectangle B is 6 units by 4 units. Which statement is true?
    Show answer

    (A) Rectangles A and B have the same area, but Rectangle A has a greater perimeter.

  2. Rectangle A is 5 units by 5 units. Rectangle B is 6 units by 4 units. Which statement is true?
    Show answer

    (D) Rectangles A and B have the same perimeter, but Rectangle A has a greater area.

  3. Rectangle A is 9 units by 2 units. Rectangle B is 7 units by 4 units. Which statement is true?
    Show answer

    (C) Rectangles A and B have the same perimeter, but Rectangle B has a greater area.

  4. Rectangle A is 8 units by 5 units. Rectangle B is 5 units by 8 units. Which statement is true?
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    (B) Rectangles A and B have the same area and the same perimeter.

  5. Rectangle A is 7 units by 3 units. Rectangle B is 9 units by 5 units. Which statement is true?
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    (A) Rectangle B has both greater area and greater perimeter than Rectangle A.

Teacher Resources
Standards
CCSS.MATH.CONTENT.3.MD.C.5
Teaching Notes

Emphasize calculating both attributes first. Discuss how shapes with similar perimeters can have different areas, and vice versa.

Vocabulary
Area: The space inside a 2D shape.
Perimeter: The distance around a 2D shape.
Common Mistakes
  • Choosing a statement without computing both values
  • Confusing which rectangle is A or B
  • Thinking equal area automatically means equal perimeter
  • Mixing area and perimeter calculations.
  • Calculation errors for area or perimeter.
  • Misinterpreting comparative language.
  • Only comparing one attribute, not both.
Differentiation
SupportUse grid paper for visual support.
ChallengeExplore how changing one dimension affects both area and perimeter.
Discussion Questions
  • Can two rectangles have the same area but different perimeters?
  • Can two rectangles have the same perimeter but different areas?
  • Why is it important to calculate both attributes before comparing?
  • How do you check if your chosen statement is truly correct?
Extension Activities
  • Find shapes with equal area but different perimeters.
  • Find shapes with equal perimeters but different areas.
Parent Tip

Use blocks to build different rectangles and compare their areas and perimeters.

Learning Path
Skill Cluster

Measurement and Geometry

Estimated Time

15 minutes

Skills Practiced
Computing area and perimeter quicklyInterpreting comparative statementsExplaining differences between area and perimeter