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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 494 · 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 25 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.From a rectangle 16 cm long and 5 cm wide, a rectangle 14 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  3. 3.The perimeter of a rectangle is 34 cm and its length is 9 cm. What is its width (in cm)?
  4. 4.A wall is 3 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
  6. 6.From a rectangle 10 cm long and 6 cm wide, a rectangle 6 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.The perimeter of a rectangle is 30 cm and its length is 8 cm. What is its width (in cm)?
  8. 8.A rectangular field is 50 m long and 40 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.From a rectangle 14 cm long and 10 cm wide, a rectangle 10 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.A square has a perimeter of 20 cm. What is its area (in square cm)?
  11. 11.A square has a perimeter of 64 cm. What is its area (in square cm)?
  12. 12.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
  13. 13.From a rectangle 12 cm long and 8 cm wide, a rectangle 9 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.A square has a perimeter of 68 cm. What is its area (in square cm)?
  16. 16.A square has a perimeter of 40 cm. What is its area (in square cm)?
  17. 17.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
  18. 18.From a rectangle 16 cm long and 15 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)?
  19. 19.Each side of a square is 10 cm. What is its perimeter (in cm)?
  20. 20.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
  21. 21.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.From a rectangle 13 cm long and 10 cm wide, a rectangle 9 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
  24. 24.A square has a perimeter of 8 cm. What is its area (in square cm)?
  25. 25.The perimeter of a rectangle is 78 cm and its length is 21 cm. What is its width (in cm)?
  26. 26.A rectangular field is 55 m long and 30 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
  28. 28.From a rectangle 16 cm long and 6 cm wide, a rectangle 9 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.From a rectangle 6 cm long and 9 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.From a rectangle 8 cm long and 5 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.From a rectangle 15 cm long and 10 cm wide, a rectangle 3 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.From a rectangle 14 cm long and 11 cm wide, a rectangle 7 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.From a rectangle 9 cm long and 8 cm wide, a rectangle 2 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
  35. 35.The perimeter of a rectangle is 22 cm and its length is 6 cm. What is its width (in cm)?
  36. 36.From a rectangle 20 cm long and 10 cm wide, a rectangle 14 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
  38. 38.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
  40. 40.From a rectangle 15 cm long and 13 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)?

Answer key

  1. 1430
  2. 52
  3. 8
  4. 600
  5. 10
  6. 36
  7. 7
  8. 1260
  9. 120
  10. 25
  11. 256
  12. 16
  13. 78
  14. 2160
  15. 289
  16. 100
  17. 96
  18. 237
  19. 40
  20. 51
  21. 1540
  22. 121
  23. 48
  24. 4
  25. 18
  26. 3230
  27. 144
  28. 69
  29. 49
  30. 30
  31. 126
  32. 98
  33. 62
  34. 60
  35. 5
  36. 158
  37. 75
  38. 1980
  39. 75
  40. 183

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