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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 314 · 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.From a rectangle 7 cm long and 14 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)?
  2. 2.A rectangular field is 85 m long and 30 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.A wall is 8 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.A wall is 8 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.The perimeter of a rectangle is 66 cm and its length is 26 cm. What is its width (in cm)?
  6. 6.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 ₹)?
  7. 7.A square has a perimeter of 56 cm. What is its area (in square cm)?
  8. 8.A rectangular field is 90 m long and 80 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
  10. 10.The perimeter of a rectangle is 32 cm and its length is 9 cm. What is its width (in cm)?
  11. 11.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.A rectangular field is 50 m long and 30 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A square has a perimeter of 76 cm. What is its area (in square cm)?
  14. 14.A wall is 5 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.A wall is 9 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.From a rectangle 7 cm long and 11 cm wide, a rectangle 3 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  18. 18.The perimeter of a rectangle is 102 cm and its length is 29 cm. What is its width (in cm)?
  19. 19.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.The perimeter of a rectangle is 58 cm and its length is 21 cm. What is its width (in cm)?
  21. 21.A wall is 9 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A rectangular field is 70 m long and 60 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.From a rectangle 14 cm long and 10 cm wide, a rectangle 8 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.From a rectangle 7 cm long and 12 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)?
  25. 25.A wall is 7 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.A rectangular field is 100 m long and 20 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.A square has a perimeter of 60 cm. What is its area (in square cm)?
  28. 28.The perimeter of a rectangle is 68 cm and its length is 27 cm. What is its width (in cm)?
  29. 29.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  30. 30.From a rectangle 20 cm long and 14 cm wide, a rectangle 13 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.A rectangular field is 70 m long and 30 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.A wall is 5 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.The perimeter of a rectangle is 22 cm and its length is 6 cm. What is its width (in cm)?
  34. 34.From a rectangle 7 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)?
  35. 35.The perimeter of a rectangle is 92 cm and its length is 29 cm. What is its width (in cm)?
  36. 36.From a rectangle 11 cm long and 10 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.Each side of a regular octagon is 25 cm. What is its perimeter (in cm)?
  38. 38.A square has a perimeter of 12 cm. What is its area (in square cm)?
  39. 39.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
  40. 40.A wall is 4 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 86
  2. 2070
  3. 1000
  4. 1440
  5. 7
  6. 150
  7. 196
  8. 6460
  9. 63
  10. 7
  11. 1500
  12. 2080
  13. 361
  14. 900
  15. 945
  16. 50
  17. 12
  18. 22
  19. 1050
  20. 8
  21. 180
  22. 2600
  23. 116
  24. 48
  25. 315
  26. 4800
  27. 225
  28. 7
  29. 2
  30. 150
  31. 1600
  32. 200
  33. 5
  34. 58
  35. 17
  36. 109
  37. 200
  38. 9
  39. 88
  40. 1200

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