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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 549 · 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.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
  2. 2.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
  3. 3.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
  4. 4.The perimeter of a rectangle is 24 cm and its length is 8 cm. What is its width (in cm)?
  5. 5.A rectangular field is 80 m long and 35 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
  7. 7.A square has a perimeter of 16 cm. What is its area (in square cm)?
  8. 8.A rectangular field is 75 m long and 60 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.From a rectangle 10 cm long and 12 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)?
  10. 10.A square has a perimeter of 28 cm. What is its area (in square cm)?
  11. 11.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 ₹)?
  12. 12.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 ₹)?
  13. 13.A square has a perimeter of 60 cm. What is its area (in square cm)?
  14. 14.From a rectangle 11 cm long and 6 cm wide, a rectangle 6 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  15. 15.A rectangular field is 100 m long and 35 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A rectangular field is 80 m long and 35 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.A square has a perimeter of 76 cm. What is its area (in square cm)?
  18. 18.A square has a perimeter of 24 cm. What is its area (in square cm)?
  19. 19.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A square has a perimeter of 20 cm. What is its area (in square cm)?
  21. 21.Each side of a square is 14 cm. What is its perimeter (in cm)?
  22. 22.A square has a perimeter of 32 cm. What is its area (in square cm)?
  23. 23.From a rectangle 18 cm long and 10 cm wide, a rectangle 2 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.Each side of a square is 20 cm. What is its perimeter (in cm)?
  25. 25.From a rectangle 12 cm long and 15 cm wide, a rectangle 3 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
  27. 27.From a rectangle 20 cm long and 5 cm wide, a rectangle 9 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
  29. 29.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 ₹)?
  30. 30.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
  32. 32.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
  33. 33.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.A wall is 8 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.A wall is 6 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.A rectangular field is 100 m long and 50 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.A wall is 5 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  39. 39.From a rectangle 18 cm long and 8 cm wide, a rectangle 12 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?

Answer key

  1. 115
  2. 15
  3. 24
  4. 4
  5. 3450
  6. 56
  7. 16
  8. 1890
  9. 105
  10. 49
  11. 640
  12. 720
  13. 225
  14. 48
  15. 2970
  16. 5060
  17. 361
  18. 36
  19. 900
  20. 25
  21. 56
  22. 64
  23. 168
  24. 80
  25. 156
  26. 80
  27. 82
  28. 160
  29. 4830
  30. 2040
  31. 152
  32. 33
  33. 1200
  34. 320
  35. 540
  36. 3600
  37. 350
  38. 21
  39. 108
  40. 36

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