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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 29 · 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 46 cm and its length is 14 cm. What is its width (in cm)?
  2. 2.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
  3. 3.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
  4. 4.From a rectangle 11 cm long and 12 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)?
  5. 5.The perimeter of a rectangle is 86 cm and its length is 28 cm. What is its width (in cm)?
  6. 6.A rectangular field is 60 m long and 30 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.From a rectangle 6 cm long and 7 cm wide, a rectangle 2 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  9. 9.The perimeter of a rectangle is 92 cm and its length is 26 cm. What is its width (in cm)?
  10. 10.A rectangular field is 95 m long and 20 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.A square has a perimeter of 68 cm. What is its area (in square cm)?
  12. 12.A square has a perimeter of 20 cm. What is its area (in square cm)?
  13. 13.A rectangular field is 80 m long and 55 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.The perimeter of a rectangle is 54 cm and its length is 14 cm. What is its width (in cm)?
  15. 15.A square has a perimeter of 48 cm. What is its area (in square cm)?
  16. 16.From a rectangle 6 cm long and 8 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.A rectangular field is 55 m long and 45 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.Each side of a square is 18 cm. What is its perimeter (in cm)?
  20. 20.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
  21. 21.A wall is 11 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A square has a perimeter of 72 cm. What is its area (in square cm)?
  23. 23.A square has a perimeter of 52 cm. What is its area (in square cm)?
  24. 24.Each side of a square is 19 cm. What is its perimeter (in cm)?
  25. 25.The perimeter of a rectangle is 50 cm and its length is 18 cm. What is its width (in cm)?
  26. 26.A wall is 6 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.A square has a perimeter of 16 cm. What is its area (in square cm)?
  28. 28.A wall is 7 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  30. 30.A square has a perimeter of 40 cm. What is its area (in square cm)?
  31. 31.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
  32. 32.Each side of a square is 14 cm. What is its perimeter (in cm)?
  33. 33.A square has a perimeter of 12 cm. What is its area (in square cm)?
  34. 34.The perimeter of a rectangle is 56 cm and its length is 18 cm. What is its width (in cm)?
  35. 35.A wall is 10 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  37. 37.Each side of a square is 11 cm. What is its perimeter (in cm)?
  38. 38.A square has a perimeter of 24 cm. What is its area (in square cm)?
  39. 39.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
  40. 40.The perimeter of a rectangle is 74 cm and its length is 28 cm. What is its width (in cm)?

Answer key

  1. 9
  2. 35
  3. 2
  4. 123
  5. 15
  6. 3780
  7. 660
  8. 32
  9. 20
  10. 2070
  11. 289
  12. 25
  13. 2700
  14. 13
  15. 144
  16. 32
  17. 3400
  18. 840
  19. 72
  20. 4
  21. 660
  22. 324
  23. 169
  24. 76
  25. 7
  26. 480
  27. 16
  28. 1050
  29. 21
  30. 100
  31. 3
  32. 56
  33. 9
  34. 10
  35. 2100
  36. 36
  37. 44
  38. 36
  39. 126
  40. 9

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