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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 378 · 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 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 ₹)?
  2. 2.From a rectangle 9 cm long and 11 cm wide, a rectangle 2 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  3. 3.From a rectangle 10 cm long and 9 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.The perimeter of a rectangle is 106 cm and its length is 30 cm. What is its width (in cm)?
  5. 5.A rectangular field is 90 m long and 15 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.From a rectangle 9 cm long and 7 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)?
  7. 7.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
  8. 8.The perimeter of a rectangle is 100 cm and its length is 30 cm. What is its width (in cm)?
  9. 9.A wall is 10 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.A rectangular field is 55 m long and 50 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.The perimeter of a rectangle is 44 cm and its length is 13 cm. What is its width (in cm)?
  12. 12.A square has a perimeter of 16 cm. What is its area (in square cm)?
  13. 13.The perimeter of a rectangle is 64 cm and its length is 20 cm. What is its width (in cm)?
  14. 14.Each side of a square is 12 cm. What is its perimeter (in cm)?
  15. 15.A wall is 3 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.Each side of a square is 22 cm. What is its perimeter (in cm)?
  17. 17.Each side of a square is 14 cm. What is its perimeter (in cm)?
  18. 18.The perimeter of a rectangle is 60 cm and its length is 25 cm. What is its width (in cm)?
  19. 19.The perimeter of a rectangle is 68 cm and its length is 28 cm. What is its width (in cm)?
  20. 20.A wall is 10 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
  22. 22.A rectangular field is 55 m long and 25 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.The perimeter of a rectangle is 96 cm and its length is 25 cm. What is its width (in cm)?
  24. 24.A wall is 11 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.A wall is 12 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.From a rectangle 12 cm long and 9 cm wide, a rectangle 2 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
  28. 28.A square has a perimeter of 72 cm. What is its area (in square cm)?
  29. 29.The perimeter of a rectangle is 22 cm and its length is 6 cm. What is its width (in cm)?
  30. 30.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
  31. 31.A rectangular field is 75 m long and 60 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.A wall is 6 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.The perimeter of a rectangle is 80 cm and its length is 26 cm. What is its width (in cm)?
  34. 34.A square has a perimeter of 32 cm. What is its area (in square cm)?
  35. 35.A rectangular field is 85 m long and 70 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.A wall is 8 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.From a rectangle 8 cm long and 9 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)?
  38. 38.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 ₹)?
  39. 39.From a rectangle 7 cm long and 8 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)?
  40. 40.A rectangular field is 45 m long and 20 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 840
  2. 87
  3. 84
  4. 23
  5. 5250
  6. 55
  7. 126
  8. 20
  9. 1200
  10. 1050
  11. 9
  12. 16
  13. 12
  14. 48
  15. 675
  16. 88
  17. 56
  18. 5
  19. 6
  20. 1000
  21. 15
  22. 3200
  23. 23
  24. 1320
  25. 2160
  26. 94
  27. 60
  28. 324
  29. 5
  30. 54
  31. 2430
  32. 240
  33. 14
  34. 64
  35. 6820
  36. 800
  37. 60
  38. 825
  39. 52
  40. 650

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