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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 397 · 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 an equilateral triangle is 18 cm. What is its perimeter (in cm)?
  2. 2.The perimeter of a rectangle is 82 cm and its length is 22 cm. What is its width (in cm)?
  3. 3.A square has a perimeter of 64 cm. What is its area (in square cm)?
  4. 4.From a rectangle 16 cm long and 8 cm wide, a rectangle 9 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  5. 5.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.From a rectangle 12 cm long and 14 cm wide, a rectangle 6 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.The perimeter of a rectangle is 58 cm and its length is 15 cm. What is its width (in cm)?
  8. 8.A wall is 9 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
  10. 10.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
  11. 11.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.The perimeter of a rectangle is 58 cm and its length is 20 cm. What is its width (in cm)?
  13. 13.A rectangular field is 95 m long and 30 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.Each side of a square is 2 cm. What is its perimeter (in cm)?
  15. 15.A wall is 3 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.A square has a perimeter of 16 cm. What is its area (in square cm)?
  17. 17.The perimeter of a rectangle is 36 cm and its length is 13 cm. What is its width (in cm)?
  18. 18.A square has a perimeter of 24 cm. What is its area (in square cm)?
  19. 19.A wall is 11 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.The perimeter of a rectangle is 22 cm and its length is 6 cm. What is its width (in cm)?
  21. 21.From a rectangle 6 cm long and 12 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.A wall is 10 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.The perimeter of a rectangle is 94 cm and its length is 26 cm. What is its width (in cm)?
  25. 25.A square has a perimeter of 44 cm. What is its area (in square cm)?
  26. 26.A wall is 8 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.A square has a perimeter of 76 cm. What is its area (in square cm)?
  28. 28.A wall is 5 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.The perimeter of a rectangle is 28 cm and its length is 10 cm. What is its width (in cm)?
  30. 30.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
  31. 31.A rectangular field is 95 m long and 35 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  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 rectangular field is 30 m long and 25 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.Each side of a regular pentagon is 22 cm. What is its perimeter (in cm)?
  35. 35.A rectangular field is 65 m long and 60 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.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 ₹)?
  37. 37.From a rectangle 17 cm long and 10 cm wide, a rectangle 15 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.Each side of a regular pentagon is 18 cm. What is its perimeter (in cm)?
  40. 40.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 ₹)?

Answer key

  1. 54
  2. 19
  3. 256
  4. 74
  5. 2860
  6. 120
  7. 14
  8. 270
  9. 132
  10. 18
  11. 630
  12. 9
  13. 1250
  14. 8
  15. 90
  16. 16
  17. 5
  18. 36
  19. 220
  20. 5
  21. 63
  22. 1050
  23. 2200
  24. 21
  25. 121
  26. 640
  27. 361
  28. 800
  29. 4
  30. 48
  31. 1560
  32. 1080
  33. 770
  34. 110
  35. 2250
  36. 720
  37. 65
  38. 1440
  39. 90
  40. 2400

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