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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 129 · 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.The perimeter of a rectangle is 28 cm and its length is 10 cm. What is its width (in cm)?
  2. 2.From a rectangle 8 cm long and 11 cm wide, a rectangle 6 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  3. 3.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
  4. 4.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
  5. 5.A square has a perimeter of 16 cm. What is its area (in square cm)?
  6. 6.A square has a perimeter of 28 cm. What is its area (in square cm)?
  7. 7.From a rectangle 10 cm long and 5 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.A square has a perimeter of 56 cm. What is its area (in square cm)?
  9. 9.A square has a perimeter of 20 cm. What is its area (in square cm)?
  10. 10.A square has a perimeter of 64 cm. What is its area (in square cm)?
  11. 11.A wall is 11 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.The perimeter of a rectangle is 62 cm and its length is 17 cm. What is its width (in cm)?
  13. 13.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
  15. 15.The perimeter of a rectangle is 58 cm and its length is 25 cm. What is its width (in cm)?
  16. 16.A wall is 11 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.From a rectangle 7 cm long and 12 cm wide, a rectangle 4 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
  19. 19.A square has a perimeter of 12 cm. What is its area (in square cm)?
  20. 20.A square has a perimeter of 32 cm. What is its area (in square cm)?
  21. 21.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.A rectangular field is 60 m long and 25 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  24. 24.A wall is 12 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.Each side of a square is 20 cm. What is its perimeter (in cm)?
  26. 26.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.Each side of a square is 19 cm. What is its perimeter (in cm)?
  28. 28.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A wall is 11 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.Each side of a square is 15 cm. What is its perimeter (in cm)?
  31. 31.A wall is 6 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.The perimeter of a rectangle is 36 cm and its length is 10 cm. What is its width (in cm)?
  33. 33.From a rectangle 19 cm long and 8 cm wide, a rectangle 6 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.A square has a perimeter of 60 cm. What is its area (in square cm)?
  36. 36.Each side of a square is 14 cm. What is its perimeter (in cm)?
  37. 37.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
  38. 38.A rectangular field is 85 m long and 50 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.From a rectangle 8 cm long and 8 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.A square has a perimeter of 68 cm. What is its area (in square cm)?

Answer key

  1. 4
  2. 46
  3. 4
  4. 2
  5. 16
  6. 49
  7. 48
  8. 196
  9. 25
  10. 256
  11. 1320
  12. 14
  13. 1050
  14. 5
  15. 4
  16. 825
  17. 52
  18. 126
  19. 9
  20. 64
  21. 1700
  22. 850
  23. 25
  24. 240
  25. 80
  26. 1470
  27. 76
  28. 1430
  29. 1925
  30. 60
  31. 750
  32. 8
  33. 122
  34. 1200
  35. 225
  36. 56
  37. 75
  38. 6750
  39. 62
  40. 289

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