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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 325 · 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 96 cm and its length is 26 cm. What is its width (in cm)?
  2. 2.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
  3. 3.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.A rectangular field is 55 m long and 45 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.Each side of a square is 8 cm. What is its perimeter (in cm)?
  6. 6.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.From a rectangle 17 cm long and 5 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)?
  9. 9.A square has a perimeter of 20 cm. What is its area (in square cm)?
  10. 10.From a rectangle 6 cm long and 12 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)?
  11. 11.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
  12. 12.A square has a perimeter of 76 cm. What is its area (in square cm)?
  13. 13.The perimeter of a rectangle is 82 cm and its length is 22 cm. What is its width (in cm)?
  14. 14.Each side of a square is 24 cm. What is its perimeter (in cm)?
  15. 15.The perimeter of a rectangle is 62 cm and its length is 28 cm. What is its width (in cm)?
  16. 16.From a rectangle 10 cm long and 14 cm wide, a rectangle 1 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
  18. 18.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
  19. 19.A wall is 7 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.The perimeter of a rectangle is 42 cm and its length is 19 cm. What is its width (in cm)?
  21. 21.A square has a perimeter of 68 cm. What is its area (in square cm)?
  22. 22.The perimeter of a rectangle is 72 cm and its length is 24 cm. What is its width (in cm)?
  23. 23.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  24. 24.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.A square has a perimeter of 52 cm. What is its area (in square cm)?
  26. 26.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
  27. 27.A wall is 10 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.Each side of a regular octagon is 25 cm. What is its perimeter (in cm)?
  29. 29.A wall is 8 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
  32. 32.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A rectangular field is 75 m long and 50 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.A square has a perimeter of 64 cm. What is its area (in square cm)?
  35. 35.A rectangular field is 60 m long and 45 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.The perimeter of a rectangle is 30 cm and its length is 10 cm. What is its width (in cm)?
  37. 37.A square has a perimeter of 40 cm. What is its area (in square cm)?
  38. 38.A rectangular field is 100 m long and 45 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.A rectangular field is 60 m long and 30 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.Each side of a square is 21 cm. What is its perimeter (in cm)?

Answer key

  1. 22
  2. 3
  3. 1920
  4. 3000
  5. 32
  6. 840
  7. 400
  8. 77
  9. 25
  10. 70
  11. 120
  12. 361
  13. 19
  14. 96
  15. 3
  16. 129
  17. 5
  18. 48
  19. 420
  20. 2
  21. 289
  22. 12
  23. 42
  24. 4000
  25. 169
  26. 72
  27. 800
  28. 200
  29. 1080
  30. 500
  31. 138
  32. 2070
  33. 5750
  34. 256
  35. 4200
  36. 5
  37. 100
  38. 2030
  39. 900
  40. 84

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