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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 165 · 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 16 cm and its length is 5 cm. What is its width (in cm)?
  2. 2.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
  3. 3.A square has a perimeter of 16 cm. What is its area (in square cm)?
  4. 4.Each side of a square is 16 cm. What is its perimeter (in cm)?
  5. 5.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
  7. 7.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
  8. 8.From a rectangle 15 cm long and 11 cm wide, a rectangle 10 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  9. 9.A square has a perimeter of 20 cm. What is its area (in square cm)?
  10. 10.A square has a perimeter of 72 cm. What is its area (in square cm)?
  11. 11.A rectangular field is 90 m long and 50 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.The perimeter of a rectangle is 32 cm and its length is 13 cm. What is its width (in cm)?
  13. 13.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
  14. 14.A wall is 11 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.A square has a perimeter of 32 cm. What is its area (in square cm)?
  16. 16.From a rectangle 8 cm long and 11 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.A square has a perimeter of 56 cm. What is its area (in square cm)?
  18. 18.Each side of a regular pentagon is 22 cm. What is its perimeter (in cm)?
  19. 19.From a rectangle 11 cm long and 7 cm wide, a rectangle 9 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A wall is 10 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.From a rectangle 18 cm long and 6 cm wide, a rectangle 16 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.From a rectangle 11 cm long and 6 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)?
  24. 24.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
  25. 25.A square has a perimeter of 76 cm. What is its area (in square cm)?
  26. 26.A rectangular field is 95 m long and 90 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.From a rectangle 14 cm long and 5 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)?
  28. 28.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.The perimeter of a rectangle is 68 cm and its length is 28 cm. What is its width (in cm)?
  30. 30.From a rectangle 8 cm long and 13 cm wide, a rectangle 4 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
  32. 32.A square has a perimeter of 40 cm. What is its area (in square cm)?
  33. 33.A rectangular field is 70 m long and 60 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.The perimeter of a rectangle is 86 cm and its length is 25 cm. What is its width (in cm)?
  35. 35.A wall is 3 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.The perimeter of a rectangle is 100 cm and its length is 30 cm. What is its width (in cm)?
  37. 37.A square has a perimeter of 48 cm. What is its area (in square cm)?
  38. 38.From a rectangle 13 cm long and 15 cm wide, a rectangle 9 cm by 13 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.A rectangular field is 90 m long and 25 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.From a rectangle 13 cm long and 12 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)?

Answer key

  1. 3
  2. 54
  3. 16
  4. 64
  5. 1500
  6. 39
  7. 168
  8. 85
  9. 25
  10. 324
  11. 4480
  12. 3
  13. 45
  14. 1100
  15. 64
  16. 84
  17. 196
  18. 110
  19. 59
  20. 1320
  21. 400
  22. 92
  23. 60
  24. 30
  25. 361
  26. 3700
  27. 61
  28. 1320
  29. 6
  30. 68
  31. 42
  32. 100
  33. 4680
  34. 18
  35. 180
  36. 20
  37. 144
  38. 78
  39. 1150
  40. 152

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