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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 331 · 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 32 cm. What is its area (in square cm)?
  2. 2.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
  3. 3.Each side of a regular hexagon is 11 cm. What is its perimeter (in cm)?
  4. 4.A square has a perimeter of 64 cm. What is its area (in square cm)?
  5. 5.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
  6. 6.The perimeter of a rectangle is 86 cm and its length is 25 cm. What is its width (in cm)?
  7. 7.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
  8. 8.A square has a perimeter of 8 cm. What is its area (in square cm)?
  9. 9.A wall is 5 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.A rectangular field is 100 m long and 60 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.A wall is 5 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.From a rectangle 14 cm long and 9 cm wide, a rectangle 11 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  13. 13.From a rectangle 18 cm long and 6 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)?
  14. 14.A wall is 5 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.Each side of a square is 23 cm. What is its perimeter (in cm)?
  16. 16.From a rectangle 14 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)?
  17. 17.From a rectangle 17 cm long and 6 cm wide, a rectangle 7 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.From a rectangle 16 cm long and 5 cm wide, a rectangle 12 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.A square has a perimeter of 76 cm. What is its area (in square cm)?
  20. 20.The perimeter of a rectangle is 28 cm and its length is 11 cm. What is its width (in cm)?
  21. 21.A rectangular field is 60 m long and 55 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.From a rectangle 10 cm long and 14 cm wide, a rectangle 1 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
  25. 25.From a rectangle 13 cm long and 11 cm wide, a rectangle 6 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.A wall is 7 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.A square has a perimeter of 28 cm. What is its area (in square cm)?
  28. 28.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A wall is 4 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
  31. 31.The perimeter of a rectangle is 22 cm and its length is 9 cm. What is its width (in cm)?
  32. 32.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
  33. 33.The perimeter of a rectangle is 42 cm and its length is 14 cm. What is its width (in cm)?
  34. 34.A wall is 12 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.From a rectangle 6 cm long and 12 cm wide, a rectangle 4 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.From a rectangle 16 cm long and 15 cm wide, a rectangle 1 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.From a rectangle 12 cm long and 10 cm wide, a rectangle 10 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.A square has a perimeter of 12 cm. What is its area (in square cm)?
  39. 39.The perimeter of a rectangle is 54 cm and its length is 25 cm. What is its width (in cm)?
  40. 40.The perimeter of a rectangle is 44 cm and its length is 13 cm. What is its width (in cm)?

Answer key

  1. 64
  2. 3
  3. 66
  4. 256
  5. 18
  6. 18
  7. 60
  8. 4
  9. 200
  10. 5120
  11. 600
  12. 82
  13. 96
  14. 300
  15. 92
  16. 176
  17. 81
  18. 44
  19. 361
  20. 3
  21. 4600
  22. 910
  23. 128
  24. 3
  25. 101
  26. 875
  27. 49
  28. 2640
  29. 80
  30. 152
  31. 2
  32. 4
  33. 7
  34. 720
  35. 40
  36. 230
  37. 90
  38. 9
  39. 2
  40. 9

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