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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 184 · 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 60 cm. What is its area (in square cm)?
  2. 2.A rectangular field is 100 m long and 20 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.The perimeter of a rectangle is 72 cm and its length is 23 cm. What is its width (in cm)?
  5. 5.A square has a perimeter of 32 cm. What is its area (in square cm)?
  6. 6.A wall is 9 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.The perimeter of a rectangle is 70 cm and its length is 20 cm. What is its width (in cm)?
  8. 8.From a rectangle 13 cm long and 7 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)?
  9. 9.Each side of a regular pentagon is 22 cm. What is its perimeter (in cm)?
  10. 10.From a rectangle 13 cm long and 10 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)?
  11. 11.From a rectangle 20 cm long and 11 cm wide, a rectangle 16 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A square has a perimeter of 48 cm. What is its area (in square cm)?
  15. 15.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.From a rectangle 11 cm long and 5 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)?
  18. 18.The perimeter of a rectangle is 44 cm and its length is 15 cm. What is its width (in cm)?
  19. 19.A square has a perimeter of 44 cm. What is its area (in square cm)?
  20. 20.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?
  21. 21.The perimeter of a rectangle is 82 cm and its length is 21 cm. What is its width (in cm)?
  22. 22.A wall is 5 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.A square has a perimeter of 36 cm. What is its area (in square cm)?
  24. 24.A rectangular field is 50 m long and 30 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.A wall is 7 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.A wall is 5 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
  28. 28.From a rectangle 20 cm long and 15 cm wide, a rectangle 12 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.A square has a perimeter of 56 cm. What is its area (in square cm)?
  30. 30.The perimeter of a rectangle is 66 cm and its length is 27 cm. What is its width (in cm)?
  31. 31.Each side of a square is 23 cm. What is its perimeter (in cm)?
  32. 32.From a rectangle 12 cm long and 9 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)?
  33. 33.A rectangular field is 100 m long and 25 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.Each side of a square is 14 cm. What is its perimeter (in cm)?
  35. 35.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.The perimeter of a rectangle is 30 cm and its length is 12 cm. What is its width (in cm)?
  37. 37.From a rectangle 12 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)?
  38. 38.A wall is 11 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  40. 40.A square has a perimeter of 12 cm. What is its area (in square cm)?

Answer key

  1. 225
  2. 3600
  3. 1600
  4. 13
  5. 64
  6. 810
  7. 15
  8. 71
  9. 110
  10. 122
  11. 140
  12. 980
  13. 2070
  14. 144
  15. 850
  16. 1980
  17. 37
  18. 7
  19. 121
  20. 20
  21. 20
  22. 225
  23. 81
  24. 2880
  25. 420
  26. 300
  27. 75
  28. 216
  29. 196
  30. 6
  31. 92
  32. 99
  33. 3000
  34. 56
  35. 2400
  36. 3
  37. 132
  38. 660
  39. 9
  40. 9

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