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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 567 · 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 regular octagon is 15 cm. What is its perimeter (in cm)?
  2. 2.A wall is 9 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
  4. 4.Each side of a square is 4 cm. What is its perimeter (in cm)?
  5. 5.The perimeter of a rectangle is 106 cm and its length is 27 cm. What is its width (in cm)?
  6. 6.A rectangular field is 65 m long and 45 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.The perimeter of a rectangle is 94 cm and its length is 28 cm. What is its width (in cm)?
  8. 8.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.From a rectangle 18 cm long and 11 cm wide, a rectangle 12 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  11. 11.A square has a perimeter of 16 cm. What is its area (in square cm)?
  12. 12.The perimeter of a rectangle is 30 cm and its length is 9 cm. What is its width (in cm)?
  13. 13.A wall is 7 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.Each side of a square is 8 cm. What is its perimeter (in cm)?
  15. 15.A wall is 12 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.The perimeter of a rectangle is 76 cm and its length is 20 cm. What is its width (in cm)?
  17. 17.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
  18. 18.A wall is 10 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.A square has a perimeter of 48 cm. What is its area (in square cm)?
  20. 20.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A square has a perimeter of 12 cm. What is its area (in square cm)?
  22. 22.A square has a perimeter of 68 cm. What is its area (in square cm)?
  23. 23.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A wall is 12 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.From a rectangle 11 cm long and 8 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)?
  26. 26.From a rectangle 9 cm long and 9 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
  28. 28.A rectangular field is 75 m long and 35 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  30. 30.The perimeter of a rectangle is 40 cm and its length is 16 cm. What is its width (in cm)?
  31. 31.The perimeter of a rectangle is 72 cm and its length is 20 cm. What is its width (in cm)?
  32. 32.Each side of a square is 3 cm. What is its perimeter (in cm)?
  33. 33.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
  34. 34.Each side of a regular hexagon is 19 cm. What is its perimeter (in cm)?
  35. 35.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
  36. 36.The perimeter of a rectangle is 78 cm and its length is 21 cm. What is its width (in cm)?
  37. 37.From a rectangle 20 cm long and 15 cm wide, a rectangle 15 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
  39. 39.A square has a perimeter of 32 cm. What is its area (in square cm)?
  40. 40.A wall is 9 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 120
  2. 270
  3. 32
  4. 16
  5. 26
  6. 2420
  7. 19
  8. 1260
  9. 186
  10. 9
  11. 16
  12. 6
  13. 1750
  14. 32
  15. 1080
  16. 18
  17. 60
  18. 1500
  19. 144
  20. 1950
  21. 9
  22. 289
  23. 1170
  24. 1800
  25. 86
  26. 77
  27. 42
  28. 5060
  29. 25
  30. 4
  31. 16
  32. 12
  33. 35
  34. 114
  35. 39
  36. 18
  37. 225
  38. 12
  39. 64
  40. 1575

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