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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 248 · 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 48 cm and its length is 19 cm. What is its width (in cm)?
  2. 2.The perimeter of a rectangle is 28 cm and its length is 9 cm. What is its width (in cm)?
  3. 3.A square has a perimeter of 80 cm. What is its area (in square cm)?
  4. 4.A rectangular field is 80 m long and 50 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.A square has a perimeter of 20 cm. What is its area (in square cm)?
  6. 6.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
  7. 7.The perimeter of a rectangle is 24 cm and its length is 9 cm. What is its width (in cm)?
  8. 8.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
  9. 9.A wall is 10 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.A wall is 6 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.The perimeter of a rectangle is 26 cm and its length is 9 cm. What is its width (in cm)?
  12. 12.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A square has a perimeter of 68 cm. What is its area (in square cm)?
  14. 14.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.The perimeter of a rectangle is 70 cm and its length is 20 cm. What is its width (in cm)?
  16. 16.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
  17. 17.A wall is 5 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.From a rectangle 19 cm long and 12 cm wide, a rectangle 14 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.The perimeter of a rectangle is 28 cm and its length is 8 cm. What is its width (in cm)?
  20. 20.From a rectangle 19 cm long and 6 cm wide, a rectangle 17 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.A wall is 11 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.From a rectangle 16 cm long and 14 cm wide, a rectangle 8 cm by 7 cm is cut out of one corner. What is the area of the shape left (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.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
  25. 25.A rectangular field is 70 m long and 50 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.A rectangular field is 80 m long and 60 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
  28. 28.A square has a perimeter of 56 cm. What is its area (in square cm)?
  29. 29.From a rectangle 16 cm long and 15 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)?
  30. 30.From a rectangle 18 cm long and 11 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)?
  31. 31.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.From a rectangle 6 cm long and 15 cm wide, a rectangle 1 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.A rectangular field is 60 m long and 25 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.A square has a perimeter of 72 cm. What is its area (in square cm)?
  35. 35.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
  36. 36.A square has a perimeter of 64 cm. What is its area (in square cm)?
  37. 37.A wall is 8 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.Each side of a square is 17 cm. What is its perimeter (in cm)?
  39. 39.The perimeter of a rectangle is 70 cm and its length is 27 cm. What is its width (in cm)?
  40. 40.A square has a perimeter of 40 cm. What is its area (in square cm)?

Answer key

  1. 5
  2. 5
  3. 400
  4. 5460
  5. 25
  6. 30
  7. 3
  8. 176
  9. 750
  10. 1080
  11. 4
  12. 1760
  13. 289
  14. 2550
  15. 15
  16. 138
  17. 750
  18. 88
  19. 6
  20. 63
  21. 1980
  22. 168
  23. 5
  24. 50
  25. 5040
  26. 3640
  27. 15
  28. 196
  29. 204
  30. 171
  31. 3570
  32. 81
  33. 3570
  34. 324
  35. 60
  36. 256
  37. 600
  38. 68
  39. 8
  40. 100

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