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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 139 · 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 an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  2. 2.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
  3. 3.From a rectangle 9 cm long and 6 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)?
  4. 4.From a rectangle 10 cm long and 8 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)?
  5. 5.From a rectangle 12 cm long and 6 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)?
  6. 6.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
  7. 7.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
  8. 8.A rectangular field is 90 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.A square has a perimeter of 8 cm. What is its area (in square cm)?
  10. 10.From a rectangle 15 cm long and 7 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)?
  11. 11.A square has a perimeter of 24 cm. What is its area (in square cm)?
  12. 12.From a rectangle 19 cm long and 14 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)?
  13. 13.A square has a perimeter of 40 cm. What is its area (in square cm)?
  14. 14.A wall is 6 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.The perimeter of a rectangle is 22 cm and its length is 9 cm. What is its width (in cm)?
  16. 16.A square has a perimeter of 64 cm. What is its area (in square cm)?
  17. 17.From a rectangle 9 cm long and 6 cm wide, a rectangle 2 cm by 1 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 42 cm and its length is 19 cm. What is its width (in cm)?
  19. 19.The perimeter of a rectangle is 60 cm and its length is 24 cm. What is its width (in cm)?
  20. 20.A square has a perimeter of 28 cm. What is its area (in square cm)?
  21. 21.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
  22. 22.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
  23. 23.From a rectangle 12 cm long and 10 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)?
  24. 24.A rectangular field is 85 m long and 70 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.From a rectangle 13 cm long and 12 cm wide, a rectangle 1 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.A wall is 3 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.A wall is 5 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.Each side of a square is 16 cm. What is its perimeter (in cm)?
  29. 29.From a rectangle 15 cm long and 12 cm wide, a rectangle 10 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.From a rectangle 10 cm long and 14 cm wide, a rectangle 4 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
  32. 32.A rectangular field is 75 m long and 20 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.From a rectangle 8 cm long and 13 cm wide, a rectangle 2 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.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 ₹)?
  35. 35.Each side of a regular pentagon is 18 cm. What is its perimeter (in cm)?
  36. 36.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  37. 37.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
  38. 38.From a rectangle 12 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)?
  39. 39.A square has a perimeter of 12 cm. What is its area (in square cm)?
  40. 40.From a rectangle 9 cm long and 14 cm wide, a rectangle 4 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 12
  2. 88
  3. 47
  4. 75
  5. 68
  6. 65
  7. 16
  8. 2800
  9. 4
  10. 99
  11. 36
  12. 248
  13. 100
  14. 420
  15. 2
  16. 256
  17. 52
  18. 2
  19. 6
  20. 49
  21. 30
  22. 96
  23. 118
  24. 6510
  25. 149
  26. 210
  27. 150
  28. 64
  29. 130
  30. 116
  31. 24
  32. 1900
  33. 92
  34. 825
  35. 90
  36. 36
  37. 64
  38. 128
  39. 9
  40. 78

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