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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 400 · 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.A square has a perimeter of 76 cm. What is its area (in square cm)?
  2. 2.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 ₹)?
  3. 3.A rectangular field is 90 m long and 20 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.A rectangular field is 65 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.A square has a perimeter of 24 cm. What is its area (in square cm)?
  7. 7.A square has a perimeter of 44 cm. What is its area (in square cm)?
  8. 8.Each side of a square is 5 cm. What is its perimeter (in cm)?
  9. 9.The perimeter of a rectangle is 30 cm and its length is 13 cm. What is its width (in cm)?
  10. 10.A wall is 3 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.A square has a perimeter of 60 cm. What is its area (in square cm)?
  12. 12.A wall is 12 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.From a rectangle 7 cm long and 12 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)?
  14. 14.The perimeter of a rectangle is 96 cm and its length is 25 cm. What is its width (in cm)?
  15. 15.From a rectangle 17 cm long and 9 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)?
  16. 16.From a rectangle 12 cm long and 9 cm wide, a rectangle 4 cm by 5 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 32 cm. What is its area (in square cm)?
  18. 18.The perimeter of a rectangle is 30 cm and its length is 8 cm. What is its width (in cm)?
  19. 19.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
  20. 20.From a rectangle 8 cm long and 10 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.From a rectangle 11 cm long and 7 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)?
  23. 23.From a rectangle 17 cm long and 14 cm wide, a rectangle 14 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.Each side of a square is 19 cm. What is its perimeter (in cm)?
  25. 25.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
  26. 26.A wall is 4 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.A rectangular field is 90 m long and 80 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.From a rectangle 14 cm long and 7 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
  30. 30.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
  31. 31.A square has a perimeter of 40 cm. What is its area (in square cm)?
  32. 32.The perimeter of a rectangle is 64 cm and its length is 30 cm. What is its width (in cm)?
  33. 33.A rectangular field is 45 m long and 25 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.The perimeter of a rectangle is 32 cm and its length is 14 cm. What is its width (in cm)?
  35. 35.From a rectangle 8 cm long and 7 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)?
  36. 36.From a rectangle 15 cm long and 12 cm wide, a rectangle 10 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.From a rectangle 12 cm long and 15 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.Each side of a square is 6 cm. What is its perimeter (in cm)?
  39. 39.A rectangular field is 60 m long and 50 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.From a rectangle 16 cm long and 13 cm wide, a rectangle 10 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 361
  2. 240
  3. 1980
  4. 480
  5. 3000
  6. 36
  7. 121
  8. 20
  9. 2
  10. 90
  11. 225
  12. 2100
  13. 78
  14. 23
  15. 137
  16. 88
  17. 64
  18. 7
  19. 2
  20. 75
  21. 700
  22. 75
  23. 210
  24. 76
  25. 27
  26. 160
  27. 6120
  28. 95
  29. 39
  30. 70
  31. 100
  32. 2
  33. 1960
  34. 2
  35. 48
  36. 90
  37. 175
  38. 24
  39. 1100
  40. 138

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