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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 274 · 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 65 m long and 25 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.A wall is 5 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.Each side of a square is 25 cm. What is its perimeter (in cm)?
  5. 5.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
  6. 6.The perimeter of a rectangle is 50 cm and its length is 15 cm. What is its width (in cm)?
  7. 7.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
  8. 8.The perimeter of a rectangle is 68 cm and its length is 19 cm. What is its width (in cm)?
  9. 9.The perimeter of a rectangle is 24 cm and its length is 9 cm. What is its width (in cm)?
  10. 10.The perimeter of a rectangle is 42 cm and its length is 12 cm. What is its width (in cm)?
  11. 11.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
  12. 12.A wall is 7 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.A rectangular field is 65 m long and 20 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A rectangular field is 60 m long and 50 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.From a rectangle 12 cm long and 5 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)?
  16. 16.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.From a rectangle 17 cm long and 5 cm wide, a rectangle 14 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
  20. 20.A square has a perimeter of 32 cm. What is its area (in square cm)?
  21. 21.A rectangular field is 60 m long and 25 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.A square has a perimeter of 56 cm. What is its area (in square cm)?
  23. 23.The perimeter of a rectangle is 28 cm and its length is 12 cm. What is its width (in cm)?
  24. 24.A square has a perimeter of 80 cm. What is its area (in square cm)?
  25. 25.From a rectangle 16 cm long and 10 cm wide, a rectangle 11 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.A square has a perimeter of 24 cm. What is its area (in square cm)?
  27. 27.A rectangular field is 95 m long and 20 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.The perimeter of a rectangle is 26 cm and its length is 9 cm. What is its width (in cm)?
  30. 30.The perimeter of a rectangle is 48 cm and its length is 17 cm. What is its width (in cm)?
  31. 31.A square has a perimeter of 12 cm. What is its area (in square cm)?
  32. 32.From a rectangle 16 cm long and 6 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.A wall is 8 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
  35. 35.A square has a perimeter of 28 cm. What is its area (in square cm)?
  36. 36.A rectangular field is 95 m long and 40 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.A wall is 6 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.The perimeter of a rectangle is 52 cm and its length is 22 cm. What is its width (in cm)?
  39. 39.A wall is 4 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.From a rectangle 15 cm long and 11 cm wide, a rectangle 9 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 3600
  2. 375
  3. 1260
  4. 100
  5. 72
  6. 10
  7. 168
  8. 15
  9. 3
  10. 9
  11. 75
  12. 2100
  13. 3230
  14. 1980
  15. 59
  16. 2200
  17. 1400
  18. 71
  19. 125
  20. 64
  21. 3570
  22. 196
  23. 2
  24. 400
  25. 94
  26. 36
  27. 1840
  28. 1870
  29. 4
  30. 7
  31. 9
  32. 92
  33. 720
  34. 88
  35. 49
  36. 6210
  37. 480
  38. 4
  39. 400
  40. 120

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