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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 538 · 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 20 cm. What is its perimeter (in cm)?
  2. 2.A rectangular field is 95 m long and 75 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.A square has a perimeter of 56 cm. What is its area (in square cm)?
  4. 4.The perimeter of a rectangle is 74 cm and its length is 26 cm. What is its width (in cm)?
  5. 5.From a rectangle 13 cm long and 5 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.A rectangular field is 55 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.The perimeter of a rectangle is 82 cm and its length is 28 cm. What is its width (in cm)?
  8. 8.The perimeter of a rectangle is 64 cm and its length is 20 cm. What is its width (in cm)?
  9. 9.Each side of a square is 18 cm. What is its perimeter (in cm)?
  10. 10.A wall is 6 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.A square has a perimeter of 36 cm. What is its area (in square cm)?
  12. 12.A wall is 7 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
  14. 14.A wall is 3 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.A rectangular field is 75 m long and 25 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
  17. 17.A wall is 10 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
  19. 19.A rectangular field is 80 m long and 65 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A rectangular field is 70 m long and 50 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.The perimeter of a rectangle is 60 cm and its length is 18 cm. What is its width (in cm)?
  23. 23.From a rectangle 6 cm long and 13 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.From a rectangle 7 cm long and 13 cm wide, a rectangle 3 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
  26. 26.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
  27. 27.A square has a perimeter of 60 cm. What is its area (in square cm)?
  28. 28.A square has a perimeter of 16 cm. What is its area (in square cm)?
  29. 29.A wall is 5 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.A rectangular field is 50 m long and 30 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.From a rectangle 10 cm long and 11 cm wide, a rectangle 5 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.A wall is 4 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.A wall is 4 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
  35. 35.A rectangular field is 50 m long and 30 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.The perimeter of a rectangle is 32 cm and its length is 13 cm. What is its width (in cm)?
  37. 37.A wall is 6 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.The perimeter of a rectangle is 70 cm and its length is 22 cm. What is its width (in cm)?
  39. 39.A square has a perimeter of 32 cm. What is its area (in square cm)?
  40. 40.From a rectangle 11 cm long and 11 cm wide, a rectangle 7 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 100
  2. 2040
  3. 196
  4. 11
  5. 55
  6. 1120
  7. 13
  8. 12
  9. 72
  10. 240
  11. 81
  12. 420
  13. 42
  14. 225
  15. 2200
  16. 30
  17. 900
  18. 33
  19. 2030
  20. 2640
  21. 1980
  22. 12
  23. 75
  24. 67
  25. 32
  26. 128
  27. 225
  28. 16
  29. 1500
  30. 2080
  31. 70
  32. 500
  33. 420
  34. 115
  35. 960
  36. 3
  37. 120
  38. 13
  39. 64
  40. 93

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