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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 300 · 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 36 cm. What is its area (in square cm)?
  2. 2.From a rectangle 13 cm long and 11 cm wide, a rectangle 4 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  3. 3.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
  5. 5.A square has a perimeter of 68 cm. What is its area (in square cm)?
  6. 6.The perimeter of a rectangle is 26 cm and its length is 8 cm. What is its width (in cm)?
  7. 7.A rectangular field is 100 m long and 75 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.From a rectangle 11 cm long and 9 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  9. 9.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
  10. 10.The perimeter of a rectangle is 60 cm and its length is 24 cm. What is its width (in cm)?
  11. 11.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.Each side of a square is 20 cm. What is its perimeter (in cm)?
  13. 13.A wall is 11 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.A square has a perimeter of 16 cm. What is its area (in square cm)?
  15. 15.A wall is 11 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.A wall is 10 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A wall is 11 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.A wall is 11 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
  20. 20.The perimeter of a rectangle is 64 cm and its length is 17 cm. What is its width (in cm)?
  21. 21.A wall is 8 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.From a rectangle 14 cm long and 15 cm wide, a rectangle 8 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.The perimeter of a rectangle is 34 cm and its length is 15 cm. What is its width (in cm)?
  24. 24.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
  25. 25.From a rectangle 9 cm long and 7 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.From a rectangle 18 cm long and 12 cm wide, a rectangle 14 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.A square has a perimeter of 76 cm. What is its area (in square cm)?
  28. 28.The perimeter of a rectangle is 72 cm and its length is 30 cm. What is its width (in cm)?
  29. 29.A wall is 11 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.The perimeter of a rectangle is 28 cm and its length is 9 cm. What is its width (in cm)?
  31. 31.A rectangular field is 85 m long and 75 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.A rectangular field is 90 m long and 80 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.From a rectangle 18 cm long and 11 cm wide, a rectangle 16 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.A square has a perimeter of 60 cm. What is its area (in square cm)?
  35. 35.The perimeter of a rectangle is 76 cm and its length is 21 cm. What is its width (in cm)?
  36. 36.From a rectangle 7 cm long and 6 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.From a rectangle 7 cm long and 9 cm wide, a rectangle 1 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.The perimeter of a rectangle is 24 cm and its length is 8 cm. What is its width (in cm)?
  39. 39.A rectangular field is 60 m long and 30 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.A rectangular field is 60 m long and 45 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 81
  2. 115
  3. 840
  4. 160
  5. 289
  6. 5
  7. 3850
  8. 74
  9. 15
  10. 6
  11. 3420
  12. 80
  13. 440
  14. 16
  15. 825
  16. 200
  17. 3300
  18. 1650
  19. 30
  20. 15
  21. 480
  22. 186
  23. 2
  24. 120
  25. 59
  26. 104
  27. 361
  28. 6
  29. 660
  30. 5
  31. 5440
  32. 3060
  33. 134
  34. 225
  35. 17
  36. 30
  37. 57
  38. 4
  39. 3600
  40. 2730

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