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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 423 · 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.The perimeter of a rectangle is 74 cm and its length is 20 cm. What is its width (in cm)?
  2. 2.A wall is 11 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.The perimeter of a rectangle is 44 cm and its length is 17 cm. What is its width (in cm)?
  4. 4.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
  6. 6.A square has a perimeter of 28 cm. What is its area (in square cm)?
  7. 7.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
  8. 8.From a rectangle 17 cm long and 5 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)?
  9. 9.A rectangular field is 95 m long and 90 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.A square has a perimeter of 76 cm. What is its area (in square cm)?
  11. 11.Each side of a square is 16 cm. What is its perimeter (in cm)?
  12. 12.From a rectangle 17 cm long and 8 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  13. 13.A square has a perimeter of 40 cm. What is its area (in square cm)?
  14. 14.From a rectangle 17 cm long and 5 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)?
  15. 15.From a rectangle 6 cm long and 13 cm wide, a rectangle 4 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.A wall is 10 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
  18. 18.The perimeter of a rectangle is 66 cm and its length is 28 cm. What is its width (in cm)?
  19. 19.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
  20. 20.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
  21. 21.From a rectangle 17 cm long and 10 cm wide, a rectangle 4 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.The perimeter of a rectangle is 48 cm and its length is 14 cm. What is its width (in cm)?
  23. 23.A rectangular field is 70 m long and 65 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
  25. 25.The perimeter of a rectangle is 52 cm and its length is 23 cm. What is its width (in cm)?
  26. 26.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
  27. 27.Each side of a square is 10 cm. What is its perimeter (in cm)?
  28. 28.The perimeter of a rectangle is 28 cm and its length is 10 cm. What is its width (in cm)?
  29. 29.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A wall is 9 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.The perimeter of a rectangle is 112 cm and its length is 30 cm. What is its width (in cm)?
  32. 32.A rectangular field is 55 m long and 15 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A rectangular field is 90 m long and 75 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
  35. 35.From a rectangle 9 cm long and 13 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.From a rectangle 8 cm long and 11 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.From a rectangle 17 cm long and 7 cm wide, a rectangle 13 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.The perimeter of a rectangle is 54 cm and its length is 24 cm. What is its width (in cm)?
  39. 39.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
  40. 40.A wall is 7 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 17
  2. 660
  3. 5
  4. 1440
  5. 120
  6. 49
  7. 2
  8. 73
  9. 2220
  10. 361
  11. 64
  12. 132
  13. 100
  14. 82
  15. 50
  16. 1000
  17. 72
  18. 5
  19. 51
  20. 54
  21. 150
  22. 10
  23. 4860
  24. 42
  25. 3
  26. 112
  27. 40
  28. 4
  29. 1300
  30. 2025
  31. 26
  32. 2380
  33. 2640
  34. 72
  35. 102
  36. 82
  37. 93
  38. 3
  39. 27
  40. 350

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