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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 592 · 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 wall is 4 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.The perimeter of a rectangle is 46 cm and its length is 18 cm. What is its width (in cm)?
  3. 3.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 ₹)?
  4. 4.From a rectangle 10 cm long and 12 cm wide, a rectangle 1 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  5. 5.A square has a perimeter of 28 cm. What is its area (in square cm)?
  6. 6.A wall is 10 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.A wall is 9 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.A wall is 10 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.A square has a perimeter of 64 cm. What is its area (in square cm)?
  11. 11.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
  12. 12.Each side of a regular pentagon is 17 cm. What is its perimeter (in cm)?
  13. 13.A rectangular field is 70 m long and 60 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.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 ₹)?
  16. 16.The perimeter of a rectangle is 44 cm and its length is 19 cm. What is its width (in cm)?
  17. 17.A square has a perimeter of 52 cm. What is its area (in square cm)?
  18. 18.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.The perimeter of a rectangle is 92 cm and its length is 30 cm. What is its width (in cm)?
  20. 20.From a rectangle 19 cm long and 8 cm wide, a rectangle 17 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.From a rectangle 8 cm long and 7 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)?
  22. 22.A rectangular field is 70 m long and 45 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.A square has a perimeter of 44 cm. What is its area (in square cm)?
  24. 24.A wall is 7 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.A square has a perimeter of 60 cm. What is its area (in square cm)?
  26. 26.Each side of a regular octagon is 17 cm. What is its perimeter (in cm)?
  27. 27.A square has a perimeter of 8 cm. What is its area (in square cm)?
  28. 28.A wall is 8 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.From a rectangle 9 cm long and 8 cm wide, a rectangle 2 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.A rectangular field is 55 m long and 25 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.Each side of a square is 11 cm. What is its perimeter (in cm)?
  32. 32.From a rectangle 9 cm long and 13 cm wide, a rectangle 3 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.A wall is 10 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.A wall is 10 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.A wall is 9 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.From a rectangle 17 cm long and 13 cm wide, a rectangle 9 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.The perimeter of a rectangle is 90 cm and its length is 24 cm. What is its width (in cm)?
  38. 38.A rectangular field is 70 m long and 25 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
  40. 40.The perimeter of a rectangle is 40 cm and its length is 16 cm. What is its width (in cm)?

Answer key

  1. 240
  2. 5
  3. 240
  4. 112
  5. 49
  6. 900
  7. 2025
  8. 700
  9. 2250
  10. 256
  11. 54
  12. 85
  13. 4420
  14. 1350
  15. 420
  16. 3
  17. 169
  18. 1400
  19. 16
  20. 50
  21. 50
  22. 2300
  23. 121
  24. 945
  25. 225
  26. 136
  27. 4
  28. 1440
  29. 60
  30. 2240
  31. 44
  32. 99
  33. 1800
  34. 400
  35. 540
  36. 158
  37. 21
  38. 2850
  39. 55
  40. 4

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