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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 492 · 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 rectangular field is 100 m long and 90 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.The perimeter of a rectangle is 84 cm and its length is 30 cm. What is its width (in cm)?
  3. 3.A wall is 8 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
  5. 5.A square has a perimeter of 56 cm. What is its area (in square cm)?
  6. 6.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
  7. 7.The perimeter of a rectangle is 58 cm and its length is 17 cm. What is its width (in cm)?
  8. 8.A wall is 4 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.A square has a perimeter of 60 cm. What is its area (in square cm)?
  10. 10.Each side of a square is 9 cm. What is its perimeter (in cm)?
  11. 11.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.From a rectangle 8 cm long and 8 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.A rectangular field is 75 m long and 70 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A square has a perimeter of 40 cm. What is its area (in square cm)?
  17. 17.The perimeter of a rectangle is 50 cm and its length is 17 cm. What is its width (in cm)?
  18. 18.A square has a perimeter of 12 cm. What is its area (in square cm)?
  19. 19.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.The perimeter of a rectangle is 46 cm and its length is 18 cm. What is its width (in cm)?
  21. 21.A wall is 5 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A wall is 3 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.The perimeter of a rectangle is 26 cm and its length is 9 cm. What is its width (in cm)?
  24. 24.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.From a rectangle 16 cm long and 7 cm wide, a rectangle 7 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.The perimeter of a rectangle is 90 cm and its length is 29 cm. What is its width (in cm)?
  28. 28.A wall is 9 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.From a rectangle 14 cm long and 7 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)?
  30. 30.From a rectangle 13 cm long and 9 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)?
  31. 31.The perimeter of a rectangle is 70 cm and its length is 26 cm. What is its width (in cm)?
  32. 32.From a rectangle 14 cm long and 13 cm wide, a rectangle 9 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.The perimeter of a rectangle is 90 cm and its length is 28 cm. What is its width (in cm)?
  34. 34.A square has a perimeter of 24 cm. What is its area (in square cm)?
  35. 35.A rectangular field is 75 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.A square has a perimeter of 48 cm. What is its area (in square cm)?
  37. 37.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
  38. 38.A wall is 10 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.The perimeter of a rectangle is 56 cm and its length is 18 cm. What is its width (in cm)?

Answer key

  1. 2280
  2. 12
  3. 360
  4. 36
  5. 196
  6. 24
  7. 12
  8. 80
  9. 225
  10. 36
  11. 420
  12. 2800
  13. 52
  14. 720
  15. 2030
  16. 100
  17. 8
  18. 9
  19. 700
  20. 5
  21. 225
  22. 525
  23. 4
  24. 560
  25. 98
  26. 1040
  27. 16
  28. 900
  29. 77
  30. 105
  31. 9
  32. 155
  33. 17
  34. 36
  35. 1700
  36. 144
  37. 18
  38. 1000
  39. 840
  40. 10

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