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Same area, different perimeter (and the other way round)

3rd grade (Year 4 in England) · 16 questions · Common Core: 3.MD.D.8 · England: Y4 Measurement

Name

Date

Score/ 16

  1. Question 1

    Two rectangles both have a perimeter of 16 cm. One is 1 cm by 7 cm, the other is 4 cm by 4 cm. What is the difference between their areas, in cm²?

    Answer

  2. Question 2

    Rectangle A is 6 cm by 6 cm. Rectangle B is 4 cm by 9 cm. They have the same area. Which has the greater perimeter?

    • A. Rectangle A
    • B. Rectangle B

  3. Question 3

    Mei says: "If two rectangles have the same area, they must have the same perimeter." True or false? (Think about 2 × 6 and 12 × 1.)

    • A. true
    • B. false

  4. Question 4

    Two rectangles both have a perimeter of 12 cm. One is 1 cm by 5 cm, the other is 3 cm by 3 cm. What is the difference between their areas, in cm²?

    Answer

  5. Question 5

    Rectangle A is 4 cm by 6 cm. Rectangle B is 1 cm by 24 cm. They have the same area. Which has the greater perimeter?

    • A. Rectangle A
    • B. Rectangle B

  6. Question 6

    Sofia says: "If two rectangles have the same area, they must have the same perimeter." True or false? (Think about 1 × 12 and 12 × 1.)

    • A. true
    • B. false

  7. Question 7

    Two rectangles both have a perimeter of 12 cm. One is 2 cm by 4 cm, the other is 3 cm by 3 cm. What is the difference between their areas, in cm²?

    Answer

  8. Question 8

    Rectangle A is 1 cm by 20 cm. Rectangle B is 2 cm by 10 cm. They have the same area. Which has the greater perimeter?

    • A. Rectangle A
    • B. Rectangle B

  9. Question 9

    Sofia says: "If two rectangles have the same area, they must have the same perimeter." True or false? (Think about 3 × 4 and 12 × 1.)

    • A. true
    • B. false

  10. Question 10

    Two rectangles both have a perimeter of 12 cm. One is 2 cm by 4 cm, the other is 3 cm by 3 cm. What is the difference between their areas, in cm²?

    Answer

  11. Question 11

    Rectangle A is 4 cm by 4 cm. Rectangle B is 1 cm by 16 cm. They have the same area. Which has the greater perimeter?

    • A. Rectangle A
    • B. Rectangle B

  12. Question 12

    Ava says: "If two rectangles have the same area, they must have the same perimeter." True or false? (Think about 1 × 12 and 12 × 1.)

    • A. true
    • B. false

  13. Question 13

    Two rectangles both have a perimeter of 16 cm. One is 3 cm by 5 cm, the other is 4 cm by 4 cm. What is the difference between their areas, in cm²?

    Answer

  14. Question 14

    Rectangle A is 3 cm by 10 cm. Rectangle B is 5 cm by 6 cm. They have the same area. Which has the greater perimeter?

    • A. Rectangle A
    • B. Rectangle B

  15. Question 15

    Kwame says: "If two rectangles have the same area, they must have the same perimeter." True or false? (Think about 2 × 6 and 12 × 1.)

    • A. true
    • B. false

  16. Question 16

    Two rectangles both have a perimeter of 12 cm. One is 2 cm by 4 cm, the other is 3 cm by 3 cm. What is the difference between their areas, in cm²?

    Answer

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  1. 9
  2. Rectangle B
  3. false
  4. 4
  5. Rectangle B
  6. false
  7. 1
  8. Rectangle A
  9. false
  10. 1
  11. Rectangle B
  12. false
  13. 1
  14. Rectangle A
  15. false
  16. 1