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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 690 · 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 20 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.From a rectangle 15 cm long and 12 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.A square has a perimeter of 36 cm. What is its area (in square cm)?
  5. 5.A wall is 3 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.A square has a perimeter of 16 cm. What is its area (in square cm)?
  7. 7.Each side of a square is 4 cm. What is its perimeter (in cm)?
  8. 8.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
  9. 9.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
  10. 10.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.The perimeter of a rectangle is 66 cm and its length is 21 cm. What is its width (in cm)?
  12. 12.A wall is 9 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.A square has a perimeter of 28 cm. What is its area (in square cm)?
  14. 14.A square has a perimeter of 24 cm. What is its area (in square cm)?
  15. 15.The perimeter of a rectangle is 86 cm and its length is 25 cm. What is its width (in cm)?
  16. 16.A wall is 11 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.The perimeter of a rectangle is 74 cm and its length is 19 cm. What is its width (in cm)?
  18. 18.The perimeter of a rectangle is 60 cm and its length is 27 cm. What is its width (in cm)?
  19. 19.A wall is 5 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
  21. 21.From a rectangle 18 cm long and 9 cm wide, a rectangle 10 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.A rectangular field is 60 m long and 30 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
  24. 24.From a rectangle 18 cm long and 11 cm wide, a rectangle 12 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
  26. 26.A wall is 7 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.The perimeter of a rectangle is 100 cm and its length is 27 cm. What is its width (in cm)?
  28. 28.A wall is 12 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.From a rectangle 11 cm long and 11 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.A wall is 7 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.A wall is 7 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.From a rectangle 12 cm long and 5 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
  34. 34.The perimeter of a rectangle is 74 cm and its length is 26 cm. What is its width (in cm)?
  35. 35.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
  36. 36.The perimeter of a rectangle is 44 cm and its length is 12 cm. What is its width (in cm)?
  37. 37.Each side of a regular pentagon is 22 cm. What is its perimeter (in cm)?
  38. 38.A rectangular field is 75 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.The perimeter of a rectangle is 26 cm and its length is 9 cm. What is its width (in cm)?
  40. 40.The perimeter of a rectangle is 56 cm and its length is 17 cm. What is its width (in cm)?

Answer key

  1. 1080
  2. 1870
  3. 168
  4. 81
  5. 210
  6. 16
  7. 16
  8. 32
  9. 57
  10. 2640
  11. 12
  12. 810
  13. 49
  14. 36
  15. 18
  16. 880
  17. 18
  18. 3
  19. 100
  20. 30
  21. 102
  22. 3420
  23. 144
  24. 186
  25. 108
  26. 630
  27. 23
  28. 1800
  29. 118
  30. 945
  31. 1225
  32. 59
  33. 16
  34. 11
  35. 54
  36. 10
  37. 110
  38. 1800
  39. 4
  40. 11

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