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Find the perimetre of a polygon from its vertex coordinates

Grade 6 math · Fieldbook Learning

Name ______________________ Date __________

Find each side that runs across the grid. Its length is the number of units between its two matching coordinates. Add all the sides.

  1. The vertices of rectangle ABCD are A(2, 0), B(3, 0), C(3, 5) and D(2, 5). Find the perimetre of the rectangle.
  2. The vertices of rectangle ABCD are A(1, 2), B(1, 5), C(0, 5) and D(0, 2). Find the perimetre of the rectangle.
  3. Rectangle ABCD has vertices A(0, 0), B(0, 1), C(1, 1) and D(1, 0). What is its perimetre in units?
  4. The vertices of rectangle ABCD are A(1, 0), B(1, 1), C(2, 1) and D(2, 0). Find the perimetre of the rectangle.
  5. The vertices of rectangle ABCD are A(3, 9), B(8, 9), C(8, 4) and D(3, 4). Find the perimetre of the rectangle.
  6. Rectangle ABCD has vertices A(10, 5), B(7, 5), C(7, 3) and D(10, 3). What is its perimetre in units?
  7. Rectangle ABCD has vertices A(9, 3), B(1, 3), C(1, 5) and D(9, 5). What is its perimetre in units?
  8. The vertices of rectangle ABCD are A(0, 10), B(0, 8), C(9, 8) and D(9, 10). Find the perimetre of the rectangle.
  9. The vertices of rectangle ABCD are A(10, 10), B(10, 0), C(−7, 0) and D(−7, 10). Find the perimetre of the rectangle.
  10. The vertices of rectangle ABCD are A(5, 2), B(−1, 2), C(−1, 4) and D(5, 4). Find the perimetre of the rectangle.
  11. The vertices of rectangle ABCD are A(−4, −3), B(−4, 0), C(−7, 0) and D(−7, −3). Find the perimetre of the rectangle.
  12. Rectangle ABCD has vertices A(−10, 0), B(−6, 0), C(−6, 10) and D(−10, 10). What is its perimetre in units?
  13. The figure ABCDEF has six vertices: A(7, 7), B(3, 7), C(3, 9), D(8, 9), E(8, 5) and F(7, 5). All of its sides are horizontal or vertical. What is its perimetre in units?
  14. The figure ABCDEF has six vertices: A(3, 2), B(7, 2), C(7, 8), D(5, 8), E(5, 7) and F(3, 7). All of its sides are horizontal or vertical. What is its perimetre in units?
  15. The figure ABCDEF has six vertices: A(8, 1), B(8, 10), C(7, 10), D(7, 2), E(3, 2) and F(3, 1). All of its sides are horizontal or vertical. What is its perimetre in units?
  16. The figure ABCDEF has six vertices: A(6, 5), B(10, 5), C(10, 10), D(3, 10), E(3, 3) and F(6, 3). All of its sides are horizontal or vertical. What is its perimetre in units?
  17. The figure ABCDEF has six vertices: A(1, −8), B(8, −8), C(8, 10), D(0, 10), E(0, −2) and F(1, −2). All of its sides are horizontal or vertical. What is its perimetre in units?
  18. The figure ABCDEF has six vertices: A(7, −10), B(7, −7), C(3, −7), D(3, 0), E(2, 0) and F(2, −10). All of its sides are horizontal or vertical. What is its perimetre in units?
  19. The figure ABCDEF has six vertices: A(0, 10), B(−3, 10), C(−3, −6), D(3, −6), E(3, 1) and F(0, 1). All of its sides are horizontal or vertical. What is its perimetre in units?
  20. The figure ABCDEF has six vertices: A(−4, −7), B(3, −7), C(3, 3), D(2, 3), E(2, −3) and F(−4, −3). All of its sides are horizontal or vertical. What is its perimetre in units?
More free practice: fieldbooklearning.com/ca/practice/grade-6/find-the-perimeter-of-a-polygon-from-its-vertex-coordinates/

Play it as a quiz game

12 of these questions as multiple choice, with near-miss wrong answers, ready for Kahoot or Blooket.

  1. Download the game's own question template: in Kahoot, Add question → Import spreadsheet; in Blooket, Create a set → Spreadsheet import.
  2. Click the matching button below, then click the first empty question row of the template and paste.
  3. Save the template (Kahoot needs .xlsx, Blooket .csv) and upload it.
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Answer key: Find the perimetre of a polygon from its vertex coordinates

  1. 12
  2. 8
  3. 4
  4. 4
  5. 20
  6. 10
  7. 20
  8. 22
  9. 54
  10. 16
  11. 12
  12. 28
  13. 18
  14. 20
  15. 28
  16. 28
  17. 52
  18. 30
  19. 44
  20. 34