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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 213 · 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 an equilateral triangle is 12 cm. What is its perimeter (in cm)?
  2. 2.A wall is 3 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.A wall is 12 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.The perimeter of a rectangle is 54 cm and its length is 20 cm. What is its width (in cm)?
  5. 5.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
  6. 6.A rectangular field is 50 m long and 25 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
  8. 8.A square has a perimeter of 76 cm. What is its area (in square cm)?
  9. 9.A wall is 12 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
  11. 11.A square has a perimeter of 32 cm. What is its area (in square cm)?
  12. 12.A rectangular field is 85 m long and 80 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A square has a perimeter of 12 cm. What is its area (in square cm)?
  14. 14.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
  15. 15.A wall is 11 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 84 cm and its length is 28 cm. What is its width (in cm)?
  17. 17.From a rectangle 7 cm long and 8 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.A wall is 12 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.From a rectangle 7 cm long and 12 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.The perimeter of a rectangle is 32 cm and its length is 14 cm. What is its width (in cm)?
  21. 21.From a rectangle 13 cm long and 15 cm wide, a rectangle 11 cm by 13 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.The perimeter of a rectangle is 54 cm and its length is 18 cm. What is its width (in cm)?
  23. 23.A square has a perimeter of 24 cm. What is its area (in square cm)?
  24. 24.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?
  25. 25.A rectangular field is 100 m long and 10 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.The perimeter of a rectangle is 58 cm and its length is 25 cm. What is its width (in cm)?
  28. 28.From a rectangle 16 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)?
  29. 29.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.The perimeter of a rectangle is 40 cm and its length is 14 cm. What is its width (in cm)?
  31. 31.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
  32. 32.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
  33. 33.A wall is 12 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.A square has a perimeter of 36 cm. What is its area (in square cm)?
  35. 35.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.The perimeter of a rectangle is 70 cm and its length is 23 cm. What is its width (in cm)?
  37. 37.Each side of a square is 7 cm. What is its perimeter (in cm)?
  38. 38.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  40. 40.A wall is 12 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 36
  2. 900
  3. 480
  4. 7
  5. 45
  6. 3300
  7. 69
  8. 361
  9. 720
  10. 96
  11. 64
  12. 6600
  13. 9
  14. 126
  15. 990
  16. 14
  17. 50
  18. 1620
  19. 83
  20. 2
  21. 52
  22. 9
  23. 36
  24. 20
  25. 5280
  26. 2600
  27. 4
  28. 140
  29. 2100
  30. 6
  31. 35
  32. 80
  33. 900
  34. 81
  35. 490
  36. 12
  37. 28
  38. 990
  39. 36
  40. 540

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