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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 34 · 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 square has a perimeter of 32 cm. What is its area (in square cm)?
  2. 2.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
  3. 3.A square has a perimeter of 60 cm. What is its area (in square cm)?
  4. 4.From a rectangle 18 cm long and 8 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  5. 5.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.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 ₹)?
  7. 7.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
  8. 8.The perimeter of a rectangle is 76 cm and its length is 21 cm. What is its width (in cm)?
  9. 9.A rectangular field is 75 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  11. 11.The perimeter of a rectangle is 104 cm and its length is 28 cm. What is its width (in cm)?
  12. 12.A rectangular field is 55 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A square has a perimeter of 56 cm. What is its area (in square cm)?
  14. 14.The perimeter of a rectangle is 24 cm and its length is 9 cm. What is its width (in cm)?
  15. 15.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
  16. 16.From a rectangle 18 cm long and 7 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)?
  17. 17.Each side of a square is 21 cm. What is its perimeter (in cm)?
  18. 18.A square has a perimeter of 20 cm. What is its area (in square cm)?
  19. 19.A rectangular field is 65 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.From a rectangle 15 cm long and 8 cm wide, a rectangle 7 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.The perimeter of a rectangle is 46 cm and its length is 21 cm. What is its width (in cm)?
  22. 22.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.From a rectangle 15 cm long and 15 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.A wall is 11 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.A rectangular field is 90 m long and 25 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.From a rectangle 8 cm long and 11 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)?
  27. 27.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A rectangular field is 95 m long and 65 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A rectangular field is 60 m long and 25 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.From a rectangle 6 cm long and 5 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.A square has a perimeter of 28 cm. What is its area (in square cm)?
  32. 32.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A rectangular field is 75 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.From a rectangle 13 cm long and 10 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.A wall is 7 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
  37. 37.A rectangular field is 75 m long and 45 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.A rectangular field is 75 m long and 55 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.A square has a perimeter of 44 cm. What is its area (in square cm)?
  40. 40.Each side of a square is 19 cm. What is its perimeter (in cm)?

Answer key

  1. 64
  2. 84
  3. 225
  4. 137
  5. 1200
  6. 1080
  7. 5
  8. 17
  9. 2700
  10. 12
  11. 24
  12. 1040
  13. 196
  14. 3
  15. 60
  16. 117
  17. 84
  18. 25
  19. 1500
  20. 92
  21. 2
  22. 1020
  23. 218
  24. 1540
  25. 5060
  26. 80
  27. 660
  28. 2240
  29. 850
  30. 24
  31. 49
  32. 840
  33. 4250
  34. 114
  35. 840
  36. 108
  37. 2160
  38. 1560
  39. 121
  40. 76

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