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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 715 · 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.Each side of a square is 12 cm. What is its perimeter (in cm)?
  2. 2.A rectangular field is 60 m long and 35 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.A rectangular field is 70 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.A square has a perimeter of 24 cm. What is its area (in square cm)?
  5. 5.The perimeter of a rectangle is 78 cm and its length is 27 cm. What is its width (in cm)?
  6. 6.A wall is 5 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
  8. 8.The perimeter of a rectangle is 72 cm and its length is 23 cm. What is its width (in cm)?
  9. 9.Each side of a regular hexagon is 25 cm. What is its perimeter (in cm)?
  10. 10.The perimeter of a rectangle is 32 cm and its length is 12 cm. What is its width (in cm)?
  11. 11.A rectangular field is 75 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.From a rectangle 17 cm long and 7 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  13. 13.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A square has a perimeter of 16 cm. What is its area (in square cm)?
  15. 15.A rectangular field is 60 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.From a rectangle 9 cm long and 9 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
  18. 18.Each side of a square is 4 cm. What is its perimeter (in cm)?
  19. 19.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
  20. 20.From a rectangle 10 cm long and 6 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.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
  22. 22.From a rectangle 13 cm long and 7 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.From a rectangle 11 cm long and 10 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)?
  24. 24.From a rectangle 16 cm long and 11 cm wide, a rectangle 12 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.Each side of a square is 19 cm. What is its perimeter (in cm)?
  26. 26.From a rectangle 13 cm long and 8 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.A wall is 12 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.The perimeter of a rectangle is 84 cm and its length is 25 cm. What is its width (in cm)?
  29. 29.A rectangular field is 80 m long and 40 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
  31. 31.From a rectangle 9 cm long and 10 cm wide, a rectangle 4 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.A square has a perimeter of 12 cm. What is its area (in square cm)?
  33. 33.From a rectangle 14 cm long and 9 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.A rectangular field is 55 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.From a rectangle 12 cm long and 14 cm wide, a rectangle 7 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.The perimeter of a rectangle is 42 cm and its length is 15 cm. What is its width (in cm)?
  37. 37.The perimeter of a rectangle is 62 cm and its length is 24 cm. What is its width (in cm)?
  38. 38.Each side of a regular octagon is 25 cm. What is its perimeter (in cm)?
  39. 39.A rectangular field is 70 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.A rectangular field is 70 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 48
  2. 3800
  3. 1700
  4. 36
  5. 12
  6. 600
  7. 120
  8. 13
  9. 150
  10. 4
  11. 2880
  12. 117
  13. 2210
  14. 16
  15. 3000
  16. 76
  17. 36
  18. 16
  19. 69
  20. 32
  21. 50
  22. 82
  23. 83
  24. 80
  25. 76
  26. 100
  27. 1200
  28. 17
  29. 1200
  30. 144
  31. 58
  32. 9
  33. 124
  34. 1170
  35. 133
  36. 6
  37. 7
  38. 200
  39. 1020
  40. 1870

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