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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 272 · 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 25 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.From a rectangle 10 cm long and 6 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)?
  3. 3.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
  4. 4.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
  5. 5.A square has a perimeter of 24 cm. What is its area (in square cm)?
  6. 6.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 ₹)?
  7. 7.A square has a perimeter of 68 cm. What is its area (in square cm)?
  8. 8.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.The perimeter of a rectangle is 34 cm and its length is 10 cm. What is its width (in cm)?
  10. 10.The perimeter of a rectangle is 34 cm and its length is 14 cm. What is its width (in cm)?
  11. 11.A wall is 5 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.The perimeter of a rectangle is 90 cm and its length is 24 cm. What is its width (in cm)?
  13. 13.A wall is 7 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.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 ₹)?
  15. 15.Each side of a square is 4 cm. What is its perimeter (in cm)?
  16. 16.A wall is 5 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.The perimeter of a rectangle is 30 cm and its length is 13 cm. What is its width (in cm)?
  19. 19.The perimeter of a rectangle is 56 cm and its length is 19 cm. What is its width (in cm)?
  20. 20.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.The perimeter of a rectangle is 68 cm and its length is 27 cm. What is its width (in cm)?
  22. 22.A square has a perimeter of 56 cm. What is its area (in square cm)?
  23. 23.Each side of a square is 14 cm. What is its perimeter (in cm)?
  24. 24.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
  25. 25.A wall is 11 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.From a rectangle 9 cm long and 5 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.From a rectangle 14 cm long and 15 cm wide, a rectangle 6 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.From a rectangle 7 cm long and 5 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.The perimeter of a rectangle is 76 cm and its length is 20 cm. What is its width (in cm)?
  30. 30.A square has a perimeter of 20 cm. What is its area (in square cm)?
  31. 31.A wall is 5 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.From a rectangle 18 cm long and 8 cm wide, a rectangle 13 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 30 cm and its length is 12 cm. What is its width (in cm)?
  34. 34.The perimeter of a rectangle is 56 cm and its length is 21 cm. What is its width (in cm)?
  35. 35.A wall is 11 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.From a rectangle 20 cm long and 11 cm wide, a rectangle 8 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.A wall is 7 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.A rectangular field is 80 m long and 60 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.From a rectangle 12 cm long and 8 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)?

Answer key

  1. 560
  2. 52
  3. 30
  4. 108
  5. 36
  6. 525
  7. 289
  8. 1000
  9. 7
  10. 3
  11. 700
  12. 21
  13. 1260
  14. 360
  15. 16
  16. 300
  17. 2850
  18. 2
  19. 9
  20. 3420
  21. 7
  22. 196
  23. 56
  24. 55
  25. 440
  26. 33
  27. 168
  28. 20
  29. 18
  30. 25
  31. 500
  32. 105
  33. 3
  34. 7
  35. 1925
  36. 1800
  37. 212
  38. 350
  39. 6720
  40. 69

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