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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 439 · 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.The perimeter of a rectangle is 72 cm and its length is 20 cm. What is its width (in cm)?
  2. 2.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  3. 3.A rectangular field is 90 m long and 60 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.From a rectangle 19 cm long and 5 cm wide, a rectangle 11 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  5. 5.A wall is 10 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.From a rectangle 16 cm long and 6 cm wide, a rectangle 8 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.Each side of a square is 18 cm. What is its perimeter (in cm)?
  8. 8.From a rectangle 14 cm long and 12 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  9. 9.A rectangular field is 100 m long and 20 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.The perimeter of a rectangle is 30 cm and its length is 10 cm. What is its width (in cm)?
  11. 11.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
  13. 13.From a rectangle 10 cm long and 11 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.From a rectangle 13 cm long and 10 cm wide, a rectangle 8 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  15. 15.A wall is 7 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.A wall is 8 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.Each side of a square is 22 cm. What is its perimeter (in cm)?
  19. 19.A wall is 8 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.A wall is 5 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.Each side of a square is 21 cm. What is its perimeter (in cm)?
  22. 22.From a rectangle 12 cm long and 13 cm wide, a rectangle 2 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.A square has a perimeter of 8 cm. What is its area (in square cm)?
  24. 24.A square has a perimeter of 56 cm. What is its area (in square cm)?
  25. 25.From a rectangle 17 cm long and 5 cm wide, a rectangle 9 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
  27. 27.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
  28. 28.The perimeter of a rectangle is 82 cm and its length is 29 cm. What is its width (in cm)?
  29. 29.Each side of a square is 5 cm. What is its perimeter (in cm)?
  30. 30.The perimeter of a rectangle is 66 cm and its length is 17 cm. What is its width (in cm)?
  31. 31.A wall is 10 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.A square has a perimeter of 64 cm. What is its area (in square cm)?
  33. 33.A wall is 8 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.A square has a perimeter of 28 cm. What is its area (in square cm)?
  35. 35.The perimeter of a rectangle is 102 cm and its length is 27 cm. What is its width (in cm)?
  36. 36.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.The perimeter of a rectangle is 66 cm and its length is 18 cm. What is its width (in cm)?
  38. 38.The perimeter of a rectangle is 76 cm and its length is 21 cm. What is its width (in cm)?
  39. 39.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?

Answer key

  1. 16
  2. 9
  3. 7500
  4. 84
  5. 900
  6. 88
  7. 72
  8. 156
  9. 3600
  10. 5
  11. 630
  12. 75
  13. 102
  14. 82
  15. 315
  16. 1400
  17. 640
  18. 88
  19. 800
  20. 400
  21. 84
  22. 144
  23. 4
  24. 196
  25. 58
  26. 66
  27. 5
  28. 12
  29. 20
  30. 16
  31. 2700
  32. 256
  33. 1200
  34. 49
  35. 24
  36. 1980
  37. 15
  38. 17
  39. 990
  40. 12

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