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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 223 · 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 regular hexagon is 25 cm. What is its perimeter (in cm)?
  2. 2.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.The perimeter of a rectangle is 36 cm and its length is 12 cm. What is its width (in cm)?
  4. 4.A rectangular field is 65 m long and 20 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.From a rectangle 7 cm long and 13 cm wide, a rectangle 1 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.A wall is 6 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.The perimeter of a rectangle is 82 cm and its length is 27 cm. What is its width (in cm)?
  9. 9.The perimeter of a rectangle is 80 cm and its length is 29 cm. What is its width (in cm)?
  10. 10.A square has a perimeter of 72 cm. What is its area (in square cm)?
  11. 11.The perimeter of a rectangle is 86 cm and its length is 29 cm. What is its width (in cm)?
  12. 12.From a rectangle 12 cm long and 7 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)?
  13. 13.The perimeter of a rectangle is 38 cm and its length is 16 cm. What is its width (in cm)?
  14. 14.A wall is 8 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.A square has a perimeter of 44 cm. What is its area (in square cm)?
  16. 16.The perimeter of a rectangle is 42 cm and its length is 13 cm. What is its width (in cm)?
  17. 17.A square has a perimeter of 80 cm. What is its area (in square cm)?
  18. 18.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
  19. 19.The perimeter of a rectangle is 38 cm and its length is 10 cm. What is its width (in cm)?
  20. 20.The perimeter of a rectangle is 86 cm and its length is 28 cm. What is its width (in cm)?
  21. 21.A square has a perimeter of 64 cm. What is its area (in square cm)?
  22. 22.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.From a rectangle 11 cm long and 12 cm wide, a rectangle 2 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.A wall is 7 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.A wall is 12 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.The perimeter of a rectangle is 22 cm and its length is 7 cm. What is its width (in cm)?
  27. 27.A wall is 4 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.The perimeter of a rectangle is 58 cm and its length is 20 cm. What is its width (in cm)?
  29. 29.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 ₹)?
  30. 30.From a rectangle 15 cm long and 7 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)?
  31. 31.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  32. 32.A rectangular field is 90 m long and 20 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A rectangular field is 60 m long and 45 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.A wall is 10 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.A square has a perimeter of 20 cm. What is its area (in square cm)?
  36. 36.From a rectangle 10 cm long and 7 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
  38. 38.The perimeter of a rectangle is 116 cm and its length is 30 cm. What is its width (in cm)?
  39. 39.From a rectangle 10 cm long and 6 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)?
  40. 40.A wall is 11 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 150
  2. 1350
  3. 6
  4. 1530
  5. 80
  6. 810
  7. 300
  8. 14
  9. 11
  10. 324
  11. 14
  12. 80
  13. 3
  14. 960
  15. 121
  16. 8
  17. 400
  18. 55
  19. 9
  20. 15
  21. 256
  22. 720
  23. 118
  24. 1400
  25. 600
  26. 4
  27. 560
  28. 9
  29. 1620
  30. 81
  31. 9
  32. 1980
  33. 2940
  34. 600
  35. 25
  36. 63
  37. 78
  38. 28
  39. 56
  40. 660

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