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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 645 · 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 wall is 5 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.From a rectangle 9 cm long and 12 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)?
  3. 3.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
  4. 4.A rectangular field is 75 m long and 45 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.A wall is 5 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.A square has a perimeter of 28 cm. What is its area (in square cm)?
  7. 7.From a rectangle 15 cm long and 11 cm wide, a rectangle 13 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
  9. 9.A wall is 12 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.The perimeter of a rectangle is 28 cm and its length is 11 cm. What is its width (in cm)?
  11. 11.A rectangular field is 80 m long and 50 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A wall is 8 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.From a rectangle 7 cm long and 7 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  15. 15.The perimeter of a rectangle is 24 cm and its length is 8 cm. What is its width (in cm)?
  16. 16.The perimeter of a rectangle is 38 cm and its length is 12 cm. What is its width (in cm)?
  17. 17.A wall is 3 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
  19. 19.A wall is 10 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.From a rectangle 20 cm long and 14 cm wide, a rectangle 9 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.A wall is 9 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A square has a perimeter of 56 cm. What is its area (in square cm)?
  23. 23.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A square has a perimeter of 40 cm. What is its area (in square cm)?
  25. 25.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
  26. 26.Each side of a square is 12 cm. What is its perimeter (in cm)?
  27. 27.A wall is 11 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.The perimeter of a rectangle is 66 cm and its length is 28 cm. What is its width (in cm)?
  29. 29.A rectangular field is 95 m long and 85 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.From a rectangle 18 cm long and 8 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)?
  31. 31.A square has a perimeter of 24 cm. What is its area (in square cm)?
  32. 32.A rectangular field is 90 m long and 85 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A square has a perimeter of 20 cm. What is its area (in square cm)?
  34. 34.A wall is 6 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.The perimeter of a rectangle is 72 cm and its length is 22 cm. What is its width (in cm)?
  36. 36.Each side of a regular hexagon is 25 cm. What is its perimeter (in cm)?
  37. 37.A square has a perimeter of 64 cm. What is its area (in square cm)?
  38. 38.A wall is 9 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
  40. 40.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 1500
  2. 100
  3. 40
  4. 6000
  5. 525
  6. 49
  7. 100
  8. 128
  9. 1260
  10. 3
  11. 2600
  12. 2090
  13. 800
  14. 45
  15. 4
  16. 7
  17. 300
  18. 55
  19. 200
  20. 262
  21. 405
  22. 196
  23. 1080
  24. 100
  25. 24
  26. 48
  27. 990
  28. 5
  29. 2880
  30. 120
  31. 36
  32. 6650
  33. 25
  34. 1620
  35. 14
  36. 150
  37. 256
  38. 2430
  39. 84
  40. 900

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