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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 113 · 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 36 cm and its length is 13 cm. What is its width (in cm)?
  2. 2.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
  3. 3.The perimeter of a rectangle is 66 cm and its length is 18 cm. What is its width (in cm)?
  4. 4.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.The perimeter of a rectangle is 94 cm and its length is 27 cm. What is its width (in cm)?
  6. 6.A square has a perimeter of 76 cm. What is its area (in square cm)?
  7. 7.A square has a perimeter of 36 cm. What is its area (in square cm)?
  8. 8.The perimeter of a rectangle is 32 cm and its length is 10 cm. What is its width (in cm)?
  9. 9.A square has a perimeter of 48 cm. What is its area (in square cm)?
  10. 10.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.A rectangular field is 85 m long and 30 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.A square has a perimeter of 68 cm. What is its area (in square cm)?
  13. 13.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
  14. 14.A square has a perimeter of 8 cm. What is its area (in square cm)?
  15. 15.From a rectangle 14 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)?
  16. 16.From a rectangle 13 cm long and 5 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.The perimeter of a rectangle is 28 cm and its length is 8 cm. What is its width (in cm)?
  18. 18.A rectangular field is 80 m long and 70 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.Each side of a square is 5 cm. What is its perimeter (in cm)?
  20. 20.A wall is 6 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.From a rectangle 10 cm long and 8 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)?
  22. 22.From a rectangle 16 cm long and 5 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.From a rectangle 14 cm long and 6 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.A wall is 8 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 10 cm long and 9 cm wide, a rectangle 3 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
  27. 27.A rectangular field is 100 m long and 30 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  29. 29.A rectangular field is 90 m long and 65 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A wall is 8 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.A wall is 4 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.A wall is 11 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.From a rectangle 8 cm long and 14 cm wide, a rectangle 4 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.From a rectangle 16 cm long and 8 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.From a rectangle 20 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)?
  36. 36.The perimeter of a rectangle is 66 cm and its length is 19 cm. What is its width (in cm)?
  37. 37.From a rectangle 19 cm long and 5 cm wide, a rectangle 9 cm by 1 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.From a rectangle 15 cm long and 8 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.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)?

Answer key

  1. 5
  2. 16
  3. 15
  4. 1350
  5. 20
  6. 361
  7. 81
  8. 6
  9. 144
  10. 1600
  11. 2300
  12. 289
  13. 51
  14. 4
  15. 118
  16. 61
  17. 6
  18. 6300
  19. 20
  20. 600
  21. 52
  22. 74
  23. 82
  24. 240
  25. 72
  26. 144
  27. 3380
  28. 21
  29. 4960
  30. 560
  31. 180
  32. 330
  33. 72
  34. 120
  35. 90
  36. 14
  37. 86
  38. 9
  39. 108
  40. 63

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