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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 283 · 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 40 cm and its length is 17 cm. What is its width (in cm)?
  2. 2.From a rectangle 18 cm long and 8 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)?
  3. 3.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
  4. 4.Each side of a square is 4 cm. What is its perimeter (in cm)?
  5. 5.From a rectangle 20 cm long and 5 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.From a rectangle 8 cm long and 11 cm wide, a rectangle 4 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.A rectangular field is 55 m long and 30 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.A square has a perimeter of 56 cm. What is its area (in square cm)?
  9. 9.A rectangular field is 60 m long and 40 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.The perimeter of a rectangle is 88 cm and its length is 25 cm. What is its width (in cm)?
  11. 11.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  12. 12.A wall is 12 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.The perimeter of a rectangle is 70 cm and its length is 26 cm. What is its width (in cm)?
  14. 14.A square has a perimeter of 36 cm. What is its area (in square cm)?
  15. 15.A square has a perimeter of 68 cm. What is its area (in square cm)?
  16. 16.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
  17. 17.A square has a perimeter of 44 cm. What is its area (in square cm)?
  18. 18.A square has a perimeter of 12 cm. What is its area (in square cm)?
  19. 19.A wall is 10 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.The perimeter of a rectangle is 48 cm and its length is 15 cm. What is its width (in cm)?
  21. 21.The perimeter of a rectangle is 48 cm and its length is 18 cm. What is its width (in cm)?
  22. 22.A wall is 7 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.A square has a perimeter of 8 cm. What is its area (in square cm)?
  24. 24.The perimeter of a rectangle is 28 cm and its length is 10 cm. What is its width (in cm)?
  25. 25.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.The perimeter of a rectangle is 64 cm and its length is 26 cm. What is its width (in cm)?
  27. 27.A wall is 12 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A rectangular field is 85 m long and 30 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.From a rectangle 15 cm long and 13 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)?
  31. 31.From a rectangle 9 cm long and 14 cm wide, a rectangle 1 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.A wall is 12 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.A wall is 10 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.A square has a perimeter of 28 cm. What is its area (in square cm)?
  35. 35.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
  36. 36.A rectangular field is 90 m long and 70 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.A square has a perimeter of 52 cm. What is its area (in square cm)?
  39. 39.A rectangular field is 55 m long and 35 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.The perimeter of a rectangle is 42 cm and its length is 17 cm. What is its width (in cm)?

Answer key

  1. 3
  2. 131
  3. 96
  4. 16
  5. 92
  6. 52
  7. 2890
  8. 196
  9. 1000
  10. 19
  11. 2
  12. 2400
  13. 9
  14. 81
  15. 289
  16. 168
  17. 121
  18. 9
  19. 2000
  20. 9
  21. 6
  22. 1260
  23. 4
  24. 4
  25. 1050
  26. 6
  27. 2880
  28. 1120
  29. 5750
  30. 174
  31. 114
  32. 1080
  33. 1600
  34. 49
  35. 32
  36. 4160
  37. 3740
  38. 169
  39. 3780
  40. 4

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