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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 446 · 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.Each side of a square is 3 cm. What is its perimeter (in cm)?
  2. 2.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.Each side of a square is 13 cm. What is its perimeter (in cm)?
  4. 4.From a rectangle 18 cm long and 5 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)?
  5. 5.A square has a perimeter of 32 cm. What is its area (in square cm)?
  6. 6.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.A square has a perimeter of 36 cm. What is its area (in square cm)?
  8. 8.The perimeter of a rectangle is 32 cm and its length is 13 cm. What is its width (in cm)?
  9. 9.The perimeter of a rectangle is 72 cm and its length is 24 cm. What is its width (in cm)?
  10. 10.A rectangular field is 90 m long and 70 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.From a rectangle 17 cm long and 5 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.From a rectangle 11 cm long and 14 cm wide, a rectangle 6 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  13. 13.The perimeter of a rectangle is 34 cm and its length is 9 cm. What is its width (in cm)?
  14. 14.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.A square has a perimeter of 48 cm. What is its area (in square cm)?
  18. 18.The perimeter of a rectangle is 28 cm and its length is 11 cm. What is its width (in cm)?
  19. 19.The perimeter of a rectangle is 30 cm and its length is 9 cm. What is its width (in cm)?
  20. 20.From a rectangle 6 cm long and 9 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.The perimeter of a rectangle is 84 cm and its length is 30 cm. What is its width (in cm)?
  22. 22.From a rectangle 12 cm long and 7 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.A wall is 11 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.A square has a perimeter of 20 cm. What is its area (in square cm)?
  25. 25.The perimeter of a rectangle is 66 cm and its length is 25 cm. What is its width (in cm)?
  26. 26.A wall is 12 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.A wall is 4 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.The perimeter of a rectangle is 40 cm and its length is 16 cm. What is its width (in cm)?
  29. 29.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
  30. 30.The perimeter of a rectangle is 64 cm and its length is 19 cm. What is its width (in cm)?
  31. 31.The perimeter of a rectangle is 62 cm and its length is 18 cm. What is its width (in cm)?
  32. 32.A square has a perimeter of 44 cm. What is its area (in square cm)?
  33. 33.A square has a perimeter of 80 cm. What is its area (in square cm)?
  34. 34.A rectangular field is 85 m long and 25 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.Each side of a square is 22 cm. What is its perimeter (in cm)?
  36. 36.A rectangular field is 65 m long and 35 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.From a rectangle 9 cm long and 6 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.A rectangular field is 70 m long and 45 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.A wall is 10 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.A square has a perimeter of 52 cm. What is its area (in square cm)?

Answer key

  1. 12
  2. 1100
  3. 52
  4. 88
  5. 64
  6. 840
  7. 81
  8. 3
  9. 12
  10. 5440
  11. 81
  12. 130
  13. 8
  14. 2070
  15. 660
  16. 2550
  17. 144
  18. 3
  19. 6
  20. 46
  21. 12
  22. 72
  23. 1485
  24. 25
  25. 8
  26. 600
  27. 240
  28. 4
  29. 48
  30. 13
  31. 13
  32. 121
  33. 400
  34. 5060
  35. 88
  36. 2600
  37. 45
  38. 5520
  39. 600
  40. 169

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