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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 544 · 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 72 cm. What is its area (in square cm)?
  2. 2.A wall is 8 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.A wall is 6 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.A wall is 9 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.The perimeter of a rectangle is 54 cm and its length is 14 cm. What is its width (in cm)?
  6. 6.The perimeter of a rectangle is 62 cm and its length is 29 cm. What is its width (in cm)?
  7. 7.A square has a perimeter of 24 cm. What is its area (in square cm)?
  8. 8.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
  9. 9.A square has a perimeter of 16 cm. What is its area (in square cm)?
  10. 10.A rectangular field is 80 m long and 65 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.The perimeter of a rectangle is 44 cm and its length is 18 cm. What is its width (in cm)?
  12. 12.Each side of a square is 5 cm. What is its perimeter (in cm)?
  13. 13.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 ₹)?
  14. 14.A rectangular field is 70 m long and 25 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.A rectangular field is 90 m long and 80 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
  17. 17.The perimeter of a rectangle is 72 cm and its length is 28 cm. What is its width (in cm)?
  18. 18.A wall is 3 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.From a rectangle 9 cm long and 12 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)?
  21. 21.A wall is 7 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.The perimeter of a rectangle is 80 cm and its length is 22 cm. What is its width (in cm)?
  23. 23.From a rectangle 17 cm long and 5 cm wide, a rectangle 10 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.A rectangular field is 65 m long and 40 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.A wall is 8 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.From a rectangle 19 cm long and 15 cm wide, a rectangle 16 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.From a rectangle 9 cm long and 10 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)?
  28. 28.From a rectangle 14 cm long and 14 cm wide, a rectangle 4 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.From a rectangle 9 cm long and 6 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)?
  31. 31.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.A rectangular field is 70 m long and 55 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
  34. 34.From a rectangle 16 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)?
  35. 35.A square has a perimeter of 12 cm. What is its area (in square cm)?
  36. 36.The perimeter of a rectangle is 76 cm and its length is 21 cm. What is its width (in cm)?
  37. 37.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
  38. 38.The perimeter of a rectangle is 24 cm and its length is 10 cm. What is its width (in cm)?
  39. 39.The perimeter of a rectangle is 62 cm and its length is 25 cm. What is its width (in cm)?
  40. 40.A rectangular field is 55 m long and 25 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 324
  2. 800
  3. 450
  4. 2700
  5. 13
  6. 2
  7. 36
  8. 18
  9. 16
  10. 2320
  11. 4
  12. 20
  13. 720
  14. 4370
  15. 7140
  16. 12
  17. 8
  18. 180
  19. 1120
  20. 100
  21. 210
  22. 18
  23. 65
  24. 3990
  25. 480
  26. 221
  27. 84
  28. 168
  29. 700
  30. 53
  31. 1710
  32. 1250
  33. 32
  34. 104
  35. 9
  36. 17
  37. 5
  38. 2
  39. 6
  40. 2880

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