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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 714 · 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 square has a perimeter of 32 cm. What is its area (in square cm)?
  2. 2.The perimeter of a rectangle is 66 cm and its length is 27 cm. What is its width (in cm)?
  3. 3.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
  4. 4.Each side of a square is 19 cm. What is its perimeter (in cm)?
  5. 5.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.A rectangular field is 50 m long and 40 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.A square has a perimeter of 28 cm. What is its area (in square cm)?
  8. 8.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.A wall is 6 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.A wall is 6 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.A wall is 3 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A wall is 5 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
  14. 14.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
  16. 16.From a rectangle 19 cm long and 13 cm wide, a rectangle 15 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.A square has a perimeter of 72 cm. What is its area (in square cm)?
  18. 18.A square has a perimeter of 56 cm. What is its area (in square cm)?
  19. 19.From a rectangle 13 cm long and 14 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.From a rectangle 17 cm long and 9 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.A rectangular field is 90 m long and 35 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.The perimeter of a rectangle is 36 cm and its length is 13 cm. What is its width (in cm)?
  23. 23.From a rectangle 7 cm long and 7 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.The perimeter of a rectangle is 42 cm and its length is 15 cm. What is its width (in cm)?
  25. 25.From a rectangle 15 cm long and 12 cm wide, a rectangle 12 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.A wall is 5 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.The perimeter of a rectangle is 38 cm and its length is 12 cm. What is its width (in cm)?
  28. 28.A wall is 9 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.A square has a perimeter of 20 cm. What is its area (in square cm)?
  30. 30.The perimeter of a rectangle is 40 cm and its length is 11 cm. What is its width (in cm)?
  31. 31.A wall is 7 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
  33. 33.A square has a perimeter of 60 cm. What is its area (in square cm)?
  34. 34.From a rectangle 15 cm long and 8 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
  36. 36.From a rectangle 13 cm long and 6 cm wide, a rectangle 8 cm by 4 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 pentagon is 6 cm. What is its perimeter (in cm)?
  38. 38.Each side of a square is 18 cm. What is its perimeter (in cm)?
  39. 39.A wall is 4 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.A rectangular field is 60 m long and 45 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 64
  2. 6
  3. 3
  4. 76
  5. 1120
  6. 1260
  7. 49
  8. 850
  9. 360
  10. 120
  11. 90
  12. 750
  13. 6
  14. 1750
  15. 48
  16. 202
  17. 324
  18. 196
  19. 172
  20. 148
  21. 5750
  22. 5
  23. 48
  24. 6
  25. 108
  26. 200
  27. 7
  28. 450
  29. 25
  30. 9
  31. 630
  32. 15
  33. 225
  34. 105
  35. 192
  36. 46
  37. 30
  38. 72
  39. 1080
  40. 3990

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