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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 32 · 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 square has a perimeter of 64 cm. What is its area (in square cm)?
  2. 2.A square has a perimeter of 80 cm. What is its area (in square cm)?
  3. 3.A square has a perimeter of 28 cm. What is its area (in square cm)?
  4. 4.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
  5. 5.A square has a perimeter of 24 cm. What is its area (in square cm)?
  6. 6.The perimeter of a rectangle is 44 cm and its length is 15 cm. What is its width (in cm)?
  7. 7.From a rectangle 10 cm long and 6 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
  10. 10.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.A rectangular field is 75 m long and 65 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.From a rectangle 17 cm long and 7 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  13. 13.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
  14. 14.A rectangular field is 80 m long and 75 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.From a rectangle 13 cm long and 6 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)?
  16. 16.From a rectangle 19 cm long and 6 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)?
  17. 17.The perimeter of a rectangle is 96 cm and its length is 25 cm. What is its width (in cm)?
  18. 18.A rectangular field is 60 m long and 45 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.The perimeter of a rectangle is 104 cm and its length is 27 cm. What is its width (in cm)?
  20. 20.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
  21. 21.From a rectangle 8 cm long and 8 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.From a rectangle 8 cm long and 10 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)?
  23. 23.A rectangular field is 75 m long and 20 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
  25. 25.The perimeter of a rectangle is 66 cm and its length is 17 cm. What is its width (in cm)?
  26. 26.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  27. 27.The perimeter of a rectangle is 48 cm and its length is 14 cm. What is its width (in cm)?
  28. 28.A square has a perimeter of 36 cm. What is its area (in square cm)?
  29. 29.The perimeter of a rectangle is 24 cm and its length is 9 cm. What is its width (in cm)?
  30. 30.A square has a perimeter of 8 cm. What is its area (in square cm)?
  31. 31.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
  32. 32.The perimeter of a rectangle is 82 cm and its length is 23 cm. What is its width (in cm)?
  33. 33.From a rectangle 9 cm long and 13 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)?
  34. 34.From a rectangle 14 cm long and 11 cm wide, a rectangle 7 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.A rectangular field is 50 m long and 25 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
  37. 37.From a rectangle 6 cm long and 5 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)?
  38. 38.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  39. 39.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
  40. 40.A wall is 7 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 256
  2. 400
  3. 49
  4. 18
  5. 36
  6. 7
  7. 53
  8. 1710
  9. 144
  10. 770
  11. 2800
  12. 114
  13. 33
  14. 3100
  15. 54
  16. 87
  17. 23
  18. 4620
  19. 25
  20. 39
  21. 52
  22. 74
  23. 3420
  24. 3
  25. 16
  26. 42
  27. 10
  28. 81
  29. 3
  30. 4
  31. 168
  32. 18
  33. 111
  34. 140
  35. 750
  36. 27
  37. 22
  38. 12
  39. 64
  40. 980

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