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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 162 · 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 100 m long and 70 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.A wall is 6 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.A wall is 9 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.Each side of a regular hexagon is 19 cm. What is its perimeter (in cm)?
  5. 5.The perimeter of a rectangle is 78 cm and its length is 23 cm. What is its width (in cm)?
  6. 6.A rectangular field is 75 m long and 35 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.A square has a perimeter of 32 cm. What is its area (in square cm)?
  8. 8.The perimeter of a rectangle is 52 cm and its length is 18 cm. What is its width (in cm)?
  9. 9.A square has a perimeter of 40 cm. What is its area (in square cm)?
  10. 10.A square has a perimeter of 44 cm. What is its area (in square cm)?
  11. 11.A wall is 11 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A rectangular field is 65 m long and 20 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.From a rectangle 6 cm long and 10 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.A rectangular field is 85 m long and 40 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.From a rectangle 12 cm long and 15 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)?
  16. 16.The perimeter of a rectangle is 34 cm and its length is 15 cm. What is its width (in cm)?
  17. 17.The perimeter of a rectangle is 114 cm and its length is 30 cm. What is its width (in cm)?
  18. 18.A wall is 9 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.A square has a perimeter of 24 cm. What is its area (in square cm)?
  20. 20.A rectangular field is 45 m long and 25 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
  22. 22.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
  23. 23.From a rectangle 8 cm long and 14 cm wide, a rectangle 1 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 18 cm long and 14 cm wide, a rectangle 1 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.A wall is 12 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.From a rectangle 18 cm long and 5 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.A square has a perimeter of 20 cm. What is its area (in square cm)?
  29. 29.From a rectangle 9 cm long and 6 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.Each side of a square is 18 cm. What is its perimeter (in cm)?
  31. 31.A square has a perimeter of 72 cm. What is its area (in square cm)?
  32. 32.The perimeter of a rectangle is 68 cm and its length is 20 cm. What is its width (in cm)?
  33. 33.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
  34. 34.A square has a perimeter of 80 cm. What is its area (in square cm)?
  35. 35.A rectangular field is 85 m long and 25 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.From a rectangle 19 cm long and 12 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)?
  37. 37.The perimeter of a rectangle is 42 cm and its length is 19 cm. What is its width (in cm)?
  38. 38.The perimeter of a rectangle is 76 cm and its length is 29 cm. What is its width (in cm)?
  39. 39.The perimeter of a rectangle is 30 cm and its length is 8 cm. What is its width (in cm)?
  40. 40.A square has a perimeter of 36 cm. What is its area (in square cm)?

Answer key

  1. 2720
  2. 120
  3. 540
  4. 114
  5. 16
  6. 3080
  7. 64
  8. 8
  9. 100
  10. 121
  11. 825
  12. 4250
  13. 54
  14. 4500
  15. 162
  16. 2
  17. 27
  18. 1080
  19. 36
  20. 3360
  21. 57
  22. 36
  23. 109
  24. 240
  25. 630
  26. 1440
  27. 74
  28. 25
  29. 42
  30. 72
  31. 324
  32. 14
  33. 32
  34. 400
  35. 1540
  36. 132
  37. 2
  38. 9
  39. 7
  40. 81

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