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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 452 · 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 88 cm and its length is 27 cm. What is its width (in cm)?
  2. 2.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.A square has a perimeter of 8 cm. What is its area (in square cm)?
  4. 4.From a rectangle 17 cm long and 6 cm wide, a rectangle 15 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  5. 5.A square has a perimeter of 24 cm. What is its area (in square cm)?
  6. 6.Each side of a square is 7 cm. What is its perimeter (in cm)?
  7. 7.A square has a perimeter of 28 cm. What is its area (in square cm)?
  8. 8.The perimeter of a rectangle is 34 cm and its length is 13 cm. What is its width (in cm)?
  9. 9.From a rectangle 12 cm long and 10 cm wide, a rectangle 10 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.A square has a perimeter of 44 cm. What is its area (in square cm)?
  11. 11.A rectangular field is 80 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.A square has a perimeter of 16 cm. What is its area (in square cm)?
  13. 13.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 ₹)?
  14. 14.Each side of a square is 5 cm. What is its perimeter (in cm)?
  15. 15.A rectangular field is 60 m long and 35 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A square has a perimeter of 56 cm. What is its area (in square cm)?
  17. 17.A square has a perimeter of 36 cm. What is its area (in square cm)?
  18. 18.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  19. 19.A wall is 12 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
  21. 21.A rectangular field is 100 m long and 55 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.A square has a perimeter of 68 cm. What is its area (in square cm)?
  23. 23.The perimeter of a rectangle is 22 cm and its length is 6 cm. What is its width (in cm)?
  24. 24.A wall is 3 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.From a rectangle 7 cm long and 9 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)?
  26. 26.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 ₹)?
  27. 27.A square has a perimeter of 64 cm. What is its area (in square cm)?
  28. 28.From a rectangle 8 cm long and 14 cm wide, a rectangle 3 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.Each side of a square is 16 cm. What is its perimeter (in cm)?
  30. 30.The perimeter of a rectangle is 58 cm and its length is 20 cm. What is its width (in cm)?
  31. 31.A rectangular field is 70 m long and 40 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.A wall is 3 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.Each side of a regular octagon is 23 cm. What is its perimeter (in cm)?
  34. 34.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
  35. 35.The perimeter of a rectangle is 54 cm and its length is 14 cm. What is its width (in cm)?
  36. 36.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
  37. 37.From a rectangle 10 cm long and 6 cm wide, a rectangle 7 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.From a rectangle 12 cm long and 11 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)?
  39. 39.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
  40. 40.The perimeter of a rectangle is 22 cm and its length is 8 cm. What is its width (in cm)?

Answer key

  1. 17
  2. 1500
  3. 4
  4. 72
  5. 36
  6. 28
  7. 49
  8. 4
  9. 100
  10. 121
  11. 3600
  12. 16
  13. 1200
  14. 20
  15. 3990
  16. 196
  17. 81
  18. 36
  19. 1440
  20. 48
  21. 2170
  22. 289
  23. 5
  24. 90
  25. 55
  26. 630
  27. 256
  28. 88
  29. 64
  30. 9
  31. 1980
  32. 60
  33. 184
  34. 65
  35. 13
  36. 18
  37. 32
  38. 124
  39. 39
  40. 3

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