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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 62 · 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 rectangular field is 60 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.A rectangular field is 70 m long and 60 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.A rectangular field is 75 m long and 55 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
  6. 6.From a rectangle 9 cm long and 7 cm wide, a rectangle 3 cm by 2 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 28 cm and its length is 10 cm. What is its width (in cm)?
  8. 8.The perimeter of a rectangle is 56 cm and its length is 20 cm. What is its width (in cm)?
  9. 9.The perimeter of a rectangle is 56 cm and its length is 19 cm. What is its width (in cm)?
  10. 10.A wall is 3 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.The perimeter of a rectangle is 66 cm and its length is 22 cm. What is its width (in cm)?
  12. 12.From a rectangle 10 cm long and 14 cm wide, a rectangle 7 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  13. 13.A wall is 8 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.A square has a perimeter of 80 cm. What is its area (in square cm)?
  15. 15.The perimeter of a rectangle is 38 cm and its length is 14 cm. What is its width (in cm)?
  16. 16.A wall is 4 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A wall is 4 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.A wall is 5 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.A square has a perimeter of 64 cm. What is its area (in square cm)?
  20. 20.From a rectangle 12 cm long and 13 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.A wall is 5 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
  23. 23.A rectangular field is 60 m long and 50 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
  25. 25.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 ₹)?
  26. 26.Each side of a regular pentagon is 20 cm. What is its perimeter (in cm)?
  27. 27.The perimeter of a rectangle is 30 cm and its length is 9 cm. What is its width (in cm)?
  28. 28.The perimeter of a rectangle is 54 cm and its length is 17 cm. What is its width (in cm)?
  29. 29.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 ₹)?
  30. 30.The perimeter of a rectangle is 96 cm and its length is 26 cm. What is its width (in cm)?
  31. 31.A wall is 10 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.From a rectangle 12 cm long and 11 cm wide, a rectangle 4 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 6 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.The perimeter of a rectangle is 88 cm and its length is 30 cm. What is its width (in cm)?
  35. 35.A square has a perimeter of 32 cm. What is its area (in square cm)?
  36. 36.The perimeter of a rectangle is 40 cm and its length is 16 cm. What is its width (in cm)?
  37. 37.A wall is 10 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.A wall is 9 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.A wall is 5 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?

Answer key

  1. 1200
  2. 2600
  3. 880
  4. 2600
  5. 48
  6. 57
  7. 4
  8. 8
  9. 9
  10. 225
  11. 11
  12. 98
  13. 720
  14. 400
  15. 5
  16. 400
  17. 400
  18. 500
  19. 256
  20. 131
  21. 675
  22. 56
  23. 4400
  24. 138
  25. 2200
  26. 100
  27. 6
  28. 10
  29. 600
  30. 22
  31. 300
  32. 108
  33. 450
  34. 14
  35. 64
  36. 4
  37. 900
  38. 630
  39. 1250
  40. 84

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