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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 106 · 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 46 cm and its length is 17 cm. What is its width (in cm)?
  2. 2.Each side of a regular pentagon is 18 cm. What is its perimeter (in cm)?
  3. 3.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
  4. 4.The perimeter of a rectangle is 92 cm and its length is 29 cm. What is its width (in cm)?
  5. 5.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.A wall is 11 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.Each side of a regular octagon is 15 cm. What is its perimeter (in cm)?
  9. 9.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  10. 10.The perimeter of a rectangle is 62 cm and its length is 20 cm. What is its width (in cm)?
  11. 11.From a rectangle 20 cm long and 9 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.The perimeter of a rectangle is 20 cm and its length is 8 cm. What is its width (in cm)?
  13. 13.A wall is 11 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.Each side of a square is 21 cm. What is its perimeter (in cm)?
  15. 15.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
  16. 16.A rectangular field is 80 m long and 40 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.From a rectangle 15 cm long and 5 cm wide, a rectangle 8 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.A square has a perimeter of 20 cm. What is its area (in square cm)?
  19. 19.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
  20. 20.The perimeter of a rectangle is 76 cm and its length is 22 cm. What is its width (in cm)?
  21. 21.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?
  22. 22.A rectangular field is 25 m long and 15 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 70 cm and its length is 30 cm. What is its width (in cm)?
  24. 24.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  26. 26.A square has a perimeter of 36 cm. What is its area (in square cm)?
  27. 27.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
  28. 28.The perimeter of a rectangle is 36 cm and its length is 10 cm. What is its width (in cm)?
  29. 29.A square has a perimeter of 76 cm. What is its area (in square cm)?
  30. 30.A wall is 8 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.Each side of a regular pentagon is 21 cm. What is its perimeter (in cm)?
  34. 34.From a rectangle 19 cm long and 10 cm wide, a rectangle 11 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.From a rectangle 20 cm long and 10 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)?
  36. 36.A square has a perimeter of 64 cm. What is its area (in square cm)?
  37. 37.The perimeter of a rectangle is 70 cm and its length is 28 cm. What is its width (in cm)?
  38. 38.A wall is 12 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.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 ₹)?
  40. 40.Each side of a regular pentagon is 20 cm. What is its perimeter (in cm)?

Answer key

  1. 6
  2. 90
  3. 12
  4. 17
  5. 630
  6. 495
  7. 2520
  8. 120
  9. 9
  10. 11
  11. 172
  12. 2
  13. 2475
  14. 84
  15. 40
  16. 1440
  17. 67
  18. 25
  19. 3
  20. 16
  21. 90
  22. 1600
  23. 5
  24. 1190
  25. 21
  26. 81
  27. 3
  28. 8
  29. 361
  30. 800
  31. 1440
  32. 1680
  33. 105
  34. 135
  35. 192
  36. 256
  37. 7
  38. 3600
  39. 800
  40. 100

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