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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 705 · 40 sums
TalentJR

The method (Around or inside): Perimeter of a regular shape = number of sides × side. Rectangle: 2 × (length + width). Area of a rectangle = length × width; square = side × side. Cost of fencing = perimeter × rate per metre; cost of painting = area × rate per square metre. Cut-out shape: area of the big rectangle − area of the part cut out.

NameDateTime takenScore ___ / 40
  1. 1.A square has a perimeter of 20 cm. What is its area (in square cm)?
  2. 2.The perimeter of a rectangle is 50 cm and its length is 22 cm. What is its width (in cm)?
  3. 3.The perimeter of a rectangle is 60 cm and its length is 16 cm. What is its width (in cm)?
  4. 4.A square has a perimeter of 28 cm. What is its area (in square cm)?
  5. 5.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.A wall is 9 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
  8. 8.The perimeter of a rectangle is 66 cm and its length is 29 cm. What is its width (in cm)?
  9. 9.A square has a perimeter of 76 cm. What is its area (in square cm)?
  10. 10.A wall is 8 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.From a rectangle 14 cm long and 6 cm wide, a rectangle 10 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  13. 13.A wall is 9 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.From a rectangle 20 cm long and 13 cm wide, a rectangle 12 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  15. 15.A rectangular field is 45 m long and 25 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
  17. 17.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
  18. 18.The perimeter of a rectangle is 44 cm and its length is 19 cm. What is its width (in cm)?
  19. 19.A wall is 9 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.A rectangular field is 65 m long and 60 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A square has a perimeter of 48 cm. What is its area (in square cm)?
  22. 22.The perimeter of a rectangle is 26 cm and its length is 10 cm. What is its width (in cm)?
  23. 23.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.The perimeter of a rectangle is 50 cm and its length is 16 cm. What is its width (in cm)?
  25. 25.The perimeter of a rectangle is 56 cm and its length is 17 cm. What is its width (in cm)?
  26. 26.A wall is 3 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.A wall is 10 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  29. 29.A rectangular field is 85 m long and 60 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.Each side of a square is 4 cm. What is its perimeter (in cm)?
  31. 31.The perimeter of a rectangle is 20 cm and its length is 8 cm. What is its width (in cm)?
  32. 32.Each side of a square is 22 cm. What is its perimeter (in cm)?
  33. 33.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
  34. 34.The perimeter of a rectangle is 74 cm and its length is 27 cm. What is its width (in cm)?
  35. 35.From a rectangle 8 cm long and 11 cm wide, a rectangle 3 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.A square has a perimeter of 32 cm. What is its area (in square cm)?
  37. 37.The perimeter of a rectangle is 40 cm and its length is 11 cm. What is its width (in cm)?
  38. 38.A rectangular field is 60 m long and 35 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
  40. 40.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 25
  2. 3
  3. 14
  4. 49
  5. 810
  6. 1440
  7. 144
  8. 4
  9. 361
  10. 960
  11. 1680
  12. 54
  13. 270
  14. 140
  15. 3080
  16. 40
  17. 84
  18. 3
  19. 675
  20. 6250
  21. 144
  22. 3
  23. 1710
  24. 9
  25. 11
  26. 405
  27. 2700
  28. 2
  29. 1450
  30. 16
  31. 2
  32. 88
  33. 24
  34. 10
  35. 70
  36. 64
  37. 9
  38. 3990
  39. 4
  40. 1080

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