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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 228 · 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 75 m long and 55 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  3. 3.A square has a perimeter of 56 cm. What is its area (in square cm)?
  4. 4.A rectangular field is 60 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.Each side of an equilateral triangle is 10 cm. What is its perimeter (in cm)?
  6. 6.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
  7. 7.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.A wall is 5 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.The perimeter of a rectangle is 34 cm and its length is 13 cm. What is its width (in cm)?
  10. 10.A wall is 11 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.A square has a perimeter of 16 cm. What is its area (in square cm)?
  12. 12.A wall is 12 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.A rectangular field is 60 m long and 30 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
  15. 15.A square has a perimeter of 28 cm. What is its area (in square cm)?
  16. 16.A square has a perimeter of 24 cm. What is its area (in square cm)?
  17. 17.Each side of a regular octagon is 10 cm. What is its perimeter (in cm)?
  18. 18.A rectangular field is 95 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.A square has a perimeter of 72 cm. What is its area (in square cm)?
  20. 20.A wall is 8 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.From a rectangle 7 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)?
  22. 22.A square has a perimeter of 36 cm. What is its area (in square cm)?
  23. 23.The perimeter of a rectangle is 76 cm and its length is 24 cm. What is its width (in cm)?
  24. 24.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
  25. 25.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
  26. 26.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
  27. 27.A wall is 11 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.The perimeter of a rectangle is 56 cm and its length is 17 cm. What is its width (in cm)?
  29. 29.Each side of a square is 18 cm. What is its perimeter (in cm)?
  30. 30.A rectangular field is 90 m long and 40 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
  33. 33.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 ₹)?
  34. 34.A square has a perimeter of 52 cm. What is its area (in square cm)?
  35. 35.From a rectangle 6 cm long and 7 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)?
  36. 36.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
  37. 37.A square has a perimeter of 12 cm. What is its area (in square cm)?
  38. 38.A square has a perimeter of 68 cm. What is its area (in square cm)?
  39. 39.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
  40. 40.Each side of a square is 23 cm. What is its perimeter (in cm)?

Answer key

  1. 6240
  2. 12
  3. 196
  4. 3600
  5. 30
  6. 10
  7. 2090
  8. 1350
  9. 4
  10. 2970
  11. 16
  12. 240
  13. 3420
  14. 160
  15. 49
  16. 36
  17. 80
  18. 5060
  19. 324
  20. 800
  21. 61
  22. 81
  23. 14
  24. 2
  25. 72
  26. 115
  27. 2200
  28. 11
  29. 72
  30. 5980
  31. 560
  32. 112
  33. 1300
  34. 169
  35. 30
  36. 18
  37. 9
  38. 289
  39. 35
  40. 92

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