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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 289 · 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 an equilateral triangle is 12 cm. What is its perimeter (in cm)?
  2. 2.Each side of a regular octagon is 15 cm. What is its perimeter (in cm)?
  3. 3.The perimeter of a rectangle is 32 cm and its length is 14 cm. What is its width (in cm)?
  4. 4.A rectangular field is 90 m long and 40 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.The perimeter of a rectangle is 78 cm and its length is 24 cm. What is its width (in cm)?
  6. 6.A rectangular field is 50 m long and 30 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.The perimeter of a rectangle is 38 cm and its length is 11 cm. What is its width (in cm)?
  8. 8.A wall is 5 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.From a rectangle 13 cm long and 5 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)?
  10. 10.A square has a perimeter of 8 cm. What is its area (in square cm)?
  11. 11.A wall is 10 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.From a rectangle 14 cm long and 7 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  13. 13.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
  14. 14.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
  15. 15.A rectangular field is 75 m long and 45 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.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 ₹)?
  17. 17.Each side of a regular pentagon is 21 cm. What is its perimeter (in cm)?
  18. 18.From a rectangle 18 cm long and 10 cm wide, a rectangle 6 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.The perimeter of a rectangle is 84 cm and its length is 26 cm. What is its width (in cm)?
  20. 20.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A wall is 4 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
  23. 23.A rectangular field is 85 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.Each side of a square is 21 cm. What is its perimeter (in cm)?
  25. 25.A wall is 5 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.The perimeter of a rectangle is 90 cm and its length is 24 cm. What is its width (in cm)?
  27. 27.From a rectangle 8 cm long and 12 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)?
  28. 28.A wall is 3 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.A wall is 3 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.A square has a perimeter of 16 cm. What is its area (in square cm)?
  31. 31.A rectangular field is 95 m long and 90 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.The perimeter of a rectangle is 64 cm and its length is 25 cm. What is its width (in cm)?
  33. 33.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.Each side of a square is 3 cm. What is its perimeter (in cm)?
  35. 35.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 ₹)?
  36. 36.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 ₹)?
  37. 37.A wall is 5 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.The perimeter of a rectangle is 44 cm and its length is 19 cm. What is its width (in cm)?
  39. 39.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
  40. 40.A rectangular field is 60 m long and 45 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 36
  2. 120
  3. 2
  4. 2080
  5. 15
  6. 2400
  7. 8
  8. 1000
  9. 59
  10. 4
  11. 900
  12. 83
  13. 64
  14. 104
  15. 3600
  16. 525
  17. 105
  18. 132
  19. 16
  20. 1020
  21. 120
  22. 18
  23. 1710
  24. 84
  25. 450
  26. 21
  27. 78
  28. 450
  29. 90
  30. 16
  31. 5920
  32. 7
  33. 1260
  34. 12
  35. 180
  36. 1540
  37. 100
  38. 3
  39. 63
  40. 1470

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