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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 361 · 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 pentagon is 4 cm. What is its perimeter (in cm)?
  2. 2.Each side of a square is 4 cm. What is its perimeter (in cm)?
  3. 3.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
  4. 4.A square has a perimeter of 24 cm. What is its area (in square cm)?
  5. 5.A square has a perimeter of 40 cm. What is its area (in square cm)?
  6. 6.The perimeter of a rectangle is 54 cm and its length is 24 cm. What is its width (in cm)?
  7. 7.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  8. 8.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.A square has a perimeter of 48 cm. What is its area (in square cm)?
  10. 10.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
  11. 11.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  12. 12.A rectangular field is 45 m long and 20 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.From a rectangle 19 cm long and 14 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)?
  14. 14.A square has a perimeter of 28 cm. What is its area (in square cm)?
  15. 15.A wall is 6 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.From a rectangle 15 cm long and 6 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.Each side of a square is 21 cm. What is its perimeter (in cm)?
  18. 18.A rectangular field is 55 m long and 50 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.The perimeter of a rectangle is 26 cm and its length is 8 cm. What is its width (in cm)?
  21. 21.The perimeter of a rectangle is 64 cm and its length is 18 cm. What is its width (in cm)?
  22. 22.The perimeter of a rectangle is 70 cm and its length is 24 cm. What is its width (in cm)?
  23. 23.A wall is 11 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.A wall is 8 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.A wall is 6 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.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 ₹)?
  27. 27.Each side of a square is 17 cm. What is its perimeter (in cm)?
  28. 28.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A wall is 4 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
  32. 32.A wall is 5 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.A rectangular field is 60 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.The perimeter of a rectangle is 62 cm and its length is 29 cm. What is its width (in cm)?
  35. 35.A square has a perimeter of 52 cm. What is its area (in square cm)?
  36. 36.A wall is 4 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.A rectangular field is 75 m long and 55 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.Each side of a square is 15 cm. What is its perimeter (in cm)?
  39. 39.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.A wall is 6 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 20
  2. 16
  3. 57
  4. 36
  5. 100
  6. 3
  7. 25
  8. 1440
  9. 144
  10. 18
  11. 36
  12. 1300
  13. 191
  14. 49
  15. 630
  16. 81
  17. 84
  18. 2100
  19. 1350
  20. 5
  21. 14
  22. 11
  23. 1100
  24. 840
  25. 750
  26. 420
  27. 68
  28. 1560
  29. 840
  30. 360
  31. 80
  32. 1050
  33. 2940
  34. 2
  35. 169
  36. 480
  37. 5720
  38. 60
  39. 1840
  40. 720

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