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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 394 · 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 an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  2. 2.From a rectangle 20 cm long and 14 cm wide, a rectangle 4 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  3. 3.The perimeter of a rectangle is 98 cm and its length is 28 cm. What is its width (in cm)?
  4. 4.A square has a perimeter of 48 cm. What is its area (in square cm)?
  5. 5.A square has a perimeter of 32 cm. What is its area (in square cm)?
  6. 6.A wall is 11 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
  8. 8.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
  9. 9.A rectangular field is 90 m long and 20 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.From a rectangle 15 cm long and 9 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)?
  11. 11.A square has a perimeter of 12 cm. What is its area (in square cm)?
  12. 12.A square has a perimeter of 8 cm. What is its area (in square cm)?
  13. 13.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
  14. 14.A wall is 3 m long and 5 m high. Painting costs ₹10 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.The perimeter of a rectangle is 54 cm and its length is 20 cm. What is its width (in cm)?
  17. 17.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
  19. 19.A rectangular field is 75 m long and 40 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A square has a perimeter of 28 cm. What is its area (in square cm)?
  21. 21.A rectangular field is 75 m long and 40 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.A wall is 5 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
  24. 24.From a rectangle 10 cm long and 6 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.A square has a perimeter of 64 cm. What is its area (in square cm)?
  26. 26.From a rectangle 19 cm long and 12 cm wide, a rectangle 3 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.Each side of a regular pentagon is 19 cm. What is its perimeter (in cm)?
  28. 28.A square has a perimeter of 80 cm. What is its area (in square cm)?
  29. 29.From a rectangle 8 cm long and 15 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)?
  30. 30.From a rectangle 15 cm long and 6 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.The perimeter of a rectangle is 22 cm and its length is 8 cm. What is its width (in cm)?
  32. 32.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
  33. 33.A rectangular field is 55 m long and 30 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.A wall is 8 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.From a rectangle 7 cm long and 10 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
  37. 37.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.From a rectangle 11 cm long and 6 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)?
  39. 39.A square has a perimeter of 68 cm. What is its area (in square cm)?
  40. 40.The perimeter of a rectangle is 118 cm and its length is 30 cm. What is its width (in cm)?

Answer key

  1. 9
  2. 236
  3. 21
  4. 144
  5. 64
  6. 1155
  7. 102
  8. 51
  9. 2860
  10. 114
  11. 9
  12. 4
  13. 69
  14. 150
  15. 92
  16. 7
  17. 1200
  18. 66
  19. 1610
  20. 49
  21. 5750
  22. 875
  23. 96
  24. 53
  25. 256
  26. 204
  27. 95
  28. 400
  29. 78
  30. 81
  31. 3
  32. 176
  33. 1530
  34. 720
  35. 65
  36. 54
  37. 1920
  38. 57
  39. 289
  40. 29

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