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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 258 · 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.The perimeter of a rectangle is 86 cm and its length is 23 cm. What is its width (in cm)?
  2. 2.A square has a perimeter of 72 cm. What is its area (in square cm)?
  3. 3.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.The perimeter of a rectangle is 22 cm and its length is 8 cm. What is its width (in cm)?
  5. 5.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.A square has a perimeter of 24 cm. What is its area (in square cm)?
  7. 7.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.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 ₹)?
  9. 9.A square has a perimeter of 16 cm. What is its area (in square 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.Each side of a regular hexagon is 11 cm. What is its perimeter (in cm)?
  12. 12.A rectangular field is 95 m long and 30 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A rectangular field is 45 m long and 25 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A wall is 10 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.A rectangular field is 100 m long and 90 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
  17. 17.A square has a perimeter of 68 cm. What is its area (in square cm)?
  18. 18.From a rectangle 10 cm long and 13 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.A wall is 6 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A square has a perimeter of 76 cm. What is its area (in square cm)?
  22. 22.A wall is 4 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.From a rectangle 16 cm long and 6 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)?
  24. 24.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.A rectangular field is 60 m long and 40 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.Each side of a square is 9 cm. What is its perimeter (in cm)?
  27. 27.A rectangular field is 70 m long and 25 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A rectangular field is 50 m long and 30 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.The perimeter of a rectangle is 22 cm and its length is 6 cm. What is its width (in cm)?
  30. 30.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
  31. 31.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.From a rectangle 13 cm long and 14 cm wide, a rectangle 4 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?
  34. 34.The perimeter of a rectangle is 102 cm and its length is 29 cm. What is its width (in cm)?
  35. 35.A wall is 5 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.A wall is 11 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.From a rectangle 16 cm long and 10 cm wide, a rectangle 11 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.A rectangular field is 75 m long and 30 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?

Answer key

  1. 20
  2. 324
  3. 1170
  4. 3
  5. 1700
  6. 36
  7. 720
  8. 540
  9. 16
  10. 240
  11. 66
  12. 5250
  13. 1120
  14. 2100
  15. 7600
  16. 45
  17. 289
  18. 125
  19. 600
  20. 840
  21. 361
  22. 360
  23. 83
  24. 360
  25. 4800
  26. 36
  27. 4750
  28. 1280
  29. 5
  30. 24
  31. 2990
  32. 154
  33. 90
  34. 22
  35. 625
  36. 1610
  37. 1980
  38. 116
  39. 4620
  40. 45

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