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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 63 · 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.Each side of a square is 25 cm. What is its perimeter (in cm)?
  2. 2.A rectangular field is 95 m long and 40 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.The perimeter of a rectangle is 58 cm and its length is 17 cm. What is its width (in cm)?
  4. 4.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.A rectangular field is 80 m long and 50 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.The perimeter of a rectangle is 26 cm and its length is 8 cm. What is its width (in cm)?
  8. 8.The perimeter of a rectangle is 38 cm and its length is 14 cm. What is its width (in cm)?
  9. 9.The perimeter of a rectangle is 36 cm and its length is 15 cm. What is its width (in cm)?
  10. 10.A square has a perimeter of 44 cm. What is its area (in square cm)?
  11. 11.A square has a perimeter of 48 cm. What is its area (in square cm)?
  12. 12.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
  13. 13.The perimeter of a rectangle is 42 cm and its length is 19 cm. What is its width (in cm)?
  14. 14.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
  15. 15.The perimeter of a rectangle is 100 cm and its length is 26 cm. What is its width (in cm)?
  16. 16.A square has a perimeter of 56 cm. What is its area (in square cm)?
  17. 17.A wall is 12 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.From a rectangle 9 cm long and 8 cm wide, a rectangle 6 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.A wall is 5 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.The perimeter of a rectangle is 18 cm and its length is 7 cm. What is its width (in cm)?
  21. 21.The perimeter of a rectangle is 106 cm and its length is 27 cm. What is its width (in cm)?
  22. 22.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
  24. 24.A square has a perimeter of 24 cm. What is its area (in square cm)?
  25. 25.From a rectangle 17 cm long and 11 cm wide, a rectangle 13 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.A wall is 12 m long and 4 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 12 cm. What is its area (in square cm)?
  28. 28.A wall is 9 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.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 ₹)?
  30. 30.A rectangular field is 55 m long and 40 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.The perimeter of a rectangle is 58 cm and its length is 22 cm. What is its width (in cm)?
  32. 32.From a rectangle 20 cm long and 8 cm wide, a rectangle 9 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
  34. 34.From a rectangle 10 cm long and 15 cm wide, a rectangle 6 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.The perimeter of a rectangle is 26 cm and its length is 11 cm. What is its width (in cm)?
  36. 36.The perimeter of a rectangle is 110 cm and its length is 29 cm. What is its width (in cm)?
  37. 37.The perimeter of a rectangle is 100 cm and its length is 30 cm. What is its width (in cm)?
  38. 38.A square has a perimeter of 72 cm. What is its area (in square cm)?
  39. 39.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
  40. 40.Each side of a square is 11 cm. What is its perimeter (in cm)?

Answer key

  1. 100
  2. 6750
  3. 12
  4. 300
  5. 1560
  6. 1020
  7. 5
  8. 5
  9. 3
  10. 121
  11. 144
  12. 30
  13. 2
  14. 45
  15. 24
  16. 196
  17. 1920
  18. 42
  19. 1000
  20. 2
  21. 26
  22. 2640
  23. 112
  24. 36
  25. 109
  26. 1200
  27. 9
  28. 270
  29. 1980
  30. 2280
  31. 7
  32. 124
  33. 160
  34. 90
  35. 2
  36. 26
  37. 20
  38. 324
  39. 3
  40. 44

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