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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 637 · 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 88 cm and its length is 23 cm. What is its width (in cm)?
  2. 2.A rectangular field is 100 m long and 75 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
  4. 4.The perimeter of a rectangle is 48 cm and its length is 19 cm. What is its width (in cm)?
  5. 5.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.A wall is 4 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
  9. 9.A rectangular field is 90 m long and 20 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.A wall is 6 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.A square has a perimeter of 12 cm. What is its area (in square cm)?
  12. 12.A rectangular field is 85 m long and 20 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.The perimeter of a rectangle is 74 cm and its length is 27 cm. What is its width (in cm)?
  14. 14.Each side of a square is 19 cm. What is its perimeter (in cm)?
  15. 15.From a rectangle 13 cm long and 9 cm wide, a rectangle 3 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.A rectangular field is 50 m long and 20 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.A square has a perimeter of 68 cm. What is its area (in square cm)?
  18. 18.From a rectangle 10 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)?
  19. 19.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A wall is 10 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
  22. 22.The perimeter of a rectangle is 112 cm and its length is 30 cm. What is its width (in cm)?
  23. 23.A rectangular field is 60 m long and 15 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
  25. 25.From a rectangle 7 cm long and 9 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)?
  26. 26.A wall is 8 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.A wall is 3 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A square has a perimeter of 76 cm. What is its area (in square cm)?
  30. 30.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
  32. 32.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A square has a perimeter of 80 cm. What is its area (in square cm)?
  34. 34.A wall is 9 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.A rectangular field is 100 m long and 40 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
  37. 37.From a rectangle 19 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)?
  38. 38.A square has a perimeter of 40 cm. What is its area (in square cm)?
  39. 39.From a rectangle 20 cm long and 9 cm wide, a rectangle 14 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.A rectangular field is 55 m long and 45 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 21
  2. 8750
  3. 48
  4. 5
  5. 3040
  6. 1760
  7. 320
  8. 96
  9. 5500
  10. 480
  11. 9
  12. 2520
  13. 10
  14. 76
  15. 96
  16. 1820
  17. 289
  18. 76
  19. 4000
  20. 2500
  21. 63
  22. 26
  23. 2550
  24. 120
  25. 54
  26. 320
  27. 240
  28. 990
  29. 361
  30. 1540
  31. 2
  32. 1080
  33. 400
  34. 540
  35. 5320
  36. 36
  37. 93
  38. 100
  39. 166
  40. 1200

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