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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 566 · 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 square is 5 cm. What is its perimeter (in cm)?
  2. 2.The perimeter of a rectangle is 34 cm and its length is 11 cm. What is its width (in cm)?
  3. 3.A rectangular field is 75 m long and 70 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
  6. 6.From a rectangle 9 cm long and 14 cm wide, a rectangle 6 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.A rectangular field is 55 m long and 25 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.Each side of a square is 6 cm. What is its perimeter (in cm)?
  10. 10.Each side of a regular pentagon is 20 cm. What is its perimeter (in cm)?
  11. 11.A rectangular field is 65 m long and 15 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.A wall is 9 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.A rectangular field is 65 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
  15. 15.A rectangular field is 70 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.From a rectangle 15 cm long and 9 cm wide, a rectangle 8 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
  18. 18.The perimeter of a rectangle is 34 cm and its length is 10 cm. What is its width (in cm)?
  19. 19.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 ₹)?
  20. 20.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
  21. 21.From a rectangle 12 cm long and 13 cm wide, a rectangle 6 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.A wall is 8 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.A square has a perimeter of 16 cm. What is its area (in square cm)?
  24. 24.A square has a perimeter of 24 cm. What is its area (in square cm)?
  25. 25.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.Each side of a square is 12 cm. What is its perimeter (in cm)?
  27. 27.Each side of a regular octagon is 10 cm. What is its perimeter (in cm)?
  28. 28.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?
  29. 29.A rectangular field is 70 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A rectangular field is 55 m long and 35 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
  32. 32.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.From a rectangle 7 cm long and 8 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.A wall is 7 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
  36. 36.The perimeter of a rectangle is 54 cm and its length is 25 cm. What is its width (in cm)?
  37. 37.From a rectangle 9 cm long and 14 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)?
  38. 38.A square has a perimeter of 12 cm. What is its area (in square cm)?
  39. 39.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
  40. 40.From a rectangle 8 cm long and 15 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 20
  2. 6
  3. 2320
  4. 660
  5. 35
  6. 108
  7. 1260
  8. 3680
  9. 24
  10. 100
  11. 2720
  12. 2250
  13. 3300
  14. 5
  15. 1080
  16. 95
  17. 6
  18. 7
  19. 2090
  20. 125
  21. 90
  22. 1680
  23. 16
  24. 36
  25. 1020
  26. 48
  27. 80
  28. 20
  29. 1020
  30. 1440
  31. 45
  32. 3500
  33. 52
  34. 420
  35. 50
  36. 2
  37. 120
  38. 9
  39. 144
  40. 112

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