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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 484 · 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.The perimeter of a rectangle is 50 cm and its length is 20 cm. What is its width (in cm)?
  2. 2.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.From a rectangle 6 cm long and 6 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.From a rectangle 8 cm long and 9 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)?
  5. 5.A rectangular field is 75 m long and 40 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
  7. 7.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  8. 8.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
  10. 10.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.A square has a perimeter of 52 cm. What is its area (in square cm)?
  12. 12.From a rectangle 18 cm long and 12 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)?
  13. 13.A square has a perimeter of 60 cm. What is its area (in square cm)?
  14. 14.The perimeter of a rectangle is 110 cm and its length is 28 cm. What is its width (in cm)?
  15. 15.A wall is 4 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.A wall is 7 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
  18. 18.A wall is 8 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A rectangular field is 50 m long and 25 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A wall is 9 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.From a rectangle 8 cm long and 10 cm wide, a rectangle 5 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.A square has a perimeter of 24 cm. What is its area (in square cm)?
  26. 26.Each side of a square is 7 cm. What is its perimeter (in cm)?
  27. 27.A wall is 4 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.A square has a perimeter of 40 cm. What is its area (in square cm)?
  29. 29.The perimeter of a rectangle is 52 cm and its length is 17 cm. What is its width (in cm)?
  30. 30.The perimeter of a rectangle is 50 cm and its length is 22 cm. What is its width (in cm)?
  31. 31.A rectangular field is 95 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.A square has a perimeter of 68 cm. What is its area (in square cm)?
  33. 33.A square has a perimeter of 8 cm. What is its area (in square cm)?
  34. 34.The perimeter of a rectangle is 68 cm and its length is 20 cm. What is its width (in cm)?
  35. 35.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
  36. 36.A wall is 11 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.From a rectangle 8 cm long and 14 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.A square has a perimeter of 80 cm. What is its area (in square cm)?
  40. 40.The perimeter of a rectangle is 48 cm and its length is 16 cm. What is its width (in cm)?

Answer key

  1. 5
  2. 640
  3. 32
  4. 64
  5. 4830
  6. 3
  7. 9
  8. 1540
  9. 88
  10. 1190
  11. 169
  12. 171
  13. 225
  14. 27
  15. 240
  16. 840
  17. 18
  18. 1280
  19. 720
  20. 2100
  21. 1800
  22. 50
  23. 1560
  24. 2530
  25. 36
  26. 28
  27. 840
  28. 100
  29. 9
  30. 3
  31. 2730
  32. 289
  33. 4
  34. 14
  35. 6
  36. 1650
  37. 1950
  38. 107
  39. 400
  40. 8

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