Form 11: Same Area, Different Perimeter Exercise

Form 11: Same Area, Different Perimeter

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Form 11: Same Area, Different Perimeter

Investigate shapes that share the same total area but have different perimeters. Analyze how altering rectangle dimensions changes the boundary length.

Questions

  1. MultiChoice

    Rectangle A is 12x1 cm. Rectangle B is 6x2 cm. Both have an area of 12 sq cm. What is the perimeter of Rectangle A?

  2. MultiChoice

    What is the perimeter of Rectangle B (6x2 cm)?

  3. MultiChoice

    Which 12 sq cm rectangle has a smaller perimeter: 12x1 cm or 4x3 cm?

  4. MultiChoice

    A rectangle has an area of 16 sq cm. If its side lengths are 16 cm and 1 cm, what is its perimeter?

  5. MultiChoice

    A square has an area of 16 sq cm. What is its perimeter?

  6. MultiChoice

    Two rectangles have an area of 24 sq cm. One is 8x3 cm, another is 6x4 cm. What is the perimeter of the 8x3 cm rectangle?

  7. MultiChoice

    What is the perimeter of the 6x4 cm rectangle?

  8. MultiChoice

    Which rectangular arrangement of 36 unit squares has the smallest perimeter?

  9. MultiChoice

    Which rectangular arrangement of 36 unit squares has the largest perimeter?

  10. MultiChoice

    An area of 20 sq cm can be made with a 10x2 cm rectangle. What is its perimeter?

  11. MultiChoice

    An area of 20 sq cm can also be made with a 5x4 cm rectangle. What is its perimeter?

  12. MultiChoice

    True or False: Shapes with the exact same area can have completely different perimeters.