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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 373 · 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 a square is 13 cm. What is its perimeter (in cm)?
  2. 2.A square has a perimeter of 12 cm. What is its area (in square cm)?
  3. 3.Each side of a square is 15 cm. What is its perimeter (in cm)?
  4. 4.A rectangular field is 60 m long and 55 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.A square has a perimeter of 8 cm. What is its area (in square cm)?
  6. 6.A square has a perimeter of 48 cm. What is its area (in square cm)?
  7. 7.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
  8. 8.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
  9. 9.A square has a perimeter of 68 cm. What is its area (in square cm)?
  10. 10.The perimeter of a rectangle is 42 cm and its length is 16 cm. What is its width (in cm)?
  11. 11.A wall is 9 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A rectangular field is 55 m long and 25 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A wall is 10 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.From a rectangle 10 cm long and 5 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)?
  15. 15.A rectangular field is 55 m long and 25 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A wall is 6 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.The perimeter of a rectangle is 80 cm and its length is 22 cm. What is its width (in cm)?
  18. 18.The perimeter of a rectangle is 62 cm and its length is 19 cm. What is its width (in cm)?
  19. 19.From a rectangle 9 cm long and 15 cm wide, a rectangle 7 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.A wall is 6 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.A wall is 12 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.A square has a perimeter of 24 cm. What is its area (in square cm)?
  24. 24.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.From a rectangle 11 cm long and 12 cm wide, a rectangle 6 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.A square has a perimeter of 76 cm. What is its area (in square cm)?
  27. 27.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
  28. 28.A square has a perimeter of 16 cm. What is its area (in square cm)?
  29. 29.From a rectangle 7 cm long and 6 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
  32. 32.The perimeter of a rectangle is 104 cm and its length is 29 cm. What is its width (in cm)?
  33. 33.Each side of a regular hexagon is 19 cm. What is its perimeter (in cm)?
  34. 34.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
  35. 35.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.A rectangular field is 100 m long and 85 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.From a rectangle 17 cm long and 5 cm wide, a rectangle 8 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.A wall is 11 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.A wall is 10 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.A wall is 4 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 52
  2. 9
  3. 60
  4. 2990
  5. 4
  6. 144
  7. 72
  8. 48
  9. 289
  10. 5
  11. 900
  12. 2880
  13. 800
  14. 41
  15. 1280
  16. 300
  17. 18
  18. 12
  19. 51
  20. 720
  21. 1980
  22. 720
  23. 36
  24. 2850
  25. 96
  26. 361
  27. 84
  28. 16
  29. 27
  30. 2520
  31. 16
  32. 23
  33. 114
  34. 128
  35. 1920
  36. 9250
  37. 61
  38. 1925
  39. 1800
  40. 480

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