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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 230 · 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 30 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.From a rectangle 13 cm long and 13 cm wide, a rectangle 3 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  3. 3.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.A wall is 4 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.From a rectangle 9 cm long and 15 cm wide, a rectangle 6 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.A wall is 9 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.A rectangular field is 75 m long and 45 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.A square has a perimeter of 72 cm. What is its area (in square cm)?
  9. 9.A wall is 7 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.From a rectangle 16 cm long and 7 cm wide, a rectangle 13 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  11. 11.The perimeter of a rectangle is 48 cm and its length is 14 cm. What is its width (in cm)?
  12. 12.A square has a perimeter of 80 cm. What is its area (in square cm)?
  13. 13.Each side of a square is 7 cm. What is its perimeter (in cm)?
  14. 14.A rectangular field is 100 m long and 60 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.Each side of a square is 15 cm. What is its perimeter (in cm)?
  16. 16.The perimeter of a rectangle is 26 cm and its length is 7 cm. What is its width (in cm)?
  17. 17.From a rectangle 12 cm long and 9 cm wide, a rectangle 3 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.The perimeter of a rectangle is 62 cm and its length is 17 cm. What is its width (in cm)?
  19. 19.Each side of an equilateral triangle is 10 cm. What is its perimeter (in cm)?
  20. 20.From a rectangle 12 cm long and 9 cm wide, a rectangle 9 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.A rectangular field is 85 m long and 45 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.The perimeter of a rectangle is 62 cm and its length is 26 cm. What is its width (in cm)?
  23. 23.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
  25. 25.A rectangular field is 95 m long and 20 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.From a rectangle 11 cm long and 12 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)?
  27. 27.The perimeter of a rectangle is 110 cm and its length is 29 cm. What is its width (in cm)?
  28. 28.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A wall is 8 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.A square has a perimeter of 56 cm. What is its area (in square cm)?
  31. 31.The perimeter of a rectangle is 88 cm and its length is 30 cm. What is its width (in cm)?
  32. 32.A square has a perimeter of 40 cm. What is its area (in square cm)?
  33. 33.A rectangular field is 100 m long and 20 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.A square has a perimeter of 20 cm. What is its area (in square cm)?
  35. 35.A square has a perimeter of 76 cm. What is its area (in square cm)?
  36. 36.Each side of a square is 14 cm. What is its perimeter (in cm)?
  37. 37.A wall is 12 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.Each side of a regular octagon is 23 cm. What is its perimeter (in cm)?
  39. 39.The perimeter of a rectangle is 52 cm and its length is 21 cm. What is its width (in cm)?
  40. 40.A square has a perimeter of 36 cm. What is its area (in square cm)?

Answer key

  1. 540
  2. 142
  3. 1650
  4. 320
  5. 111
  6. 1620
  7. 3840
  8. 324
  9. 315
  10. 99
  11. 10
  12. 400
  13. 28
  14. 5760
  15. 60
  16. 6
  17. 87
  18. 14
  19. 30
  20. 63
  21. 5460
  22. 5
  23. 630
  24. 42
  25. 3910
  26. 120
  27. 26
  28. 2080
  29. 960
  30. 196
  31. 14
  32. 100
  33. 2640
  34. 25
  35. 361
  36. 56
  37. 360
  38. 184
  39. 5
  40. 81

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