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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 393 · 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 octagon is 8 cm. What is its perimeter (in cm)?
  2. 2.A square has a perimeter of 20 cm. What is its area (in square cm)?
  3. 3.A wall is 8 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
  5. 5.A square has a perimeter of 36 cm. What is its area (in square cm)?
  6. 6.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
  7. 7.A rectangular field is 60 m long and 30 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.A wall is 8 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.The perimeter of a rectangle is 66 cm and its length is 25 cm. What is its width (in cm)?
  10. 10.A wall is 6 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.A square has a perimeter of 8 cm. What is its area (in square cm)?
  13. 13.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
  14. 14.A rectangular field is 65 m long and 35 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.A wall is 10 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.Each side of a regular octagon is 10 cm. What is its perimeter (in cm)?
  17. 17.From a rectangle 17 cm long and 5 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  19. 19.A wall is 9 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.A rectangular field is 65 m long and 40 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A wall is 12 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.From a rectangle 14 cm long and 5 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.The perimeter of a rectangle is 38 cm and its length is 15 cm. What is its width (in cm)?
  24. 24.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
  25. 25.A rectangular field is 90 m long and 25 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
  28. 28.From a rectangle 20 cm long and 11 cm wide, a rectangle 16 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.A square has a perimeter of 48 cm. What is its area (in square cm)?
  30. 30.A wall is 4 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
  32. 32.A wall is 12 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.A rectangular field is 75 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
  35. 35.A rectangular field is 85 m long and 30 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.The perimeter of a rectangle is 56 cm and its length is 21 cm. What is its width (in cm)?
  37. 37.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
  38. 38.A wall is 9 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.From a rectangle 8 cm long and 6 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.A wall is 6 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 64
  2. 25
  3. 1600
  4. 48
  5. 81
  6. 24
  7. 3780
  8. 1000
  9. 8
  10. 300
  11. 1500
  12. 4
  13. 39
  14. 5000
  15. 600
  16. 80
  17. 83
  18. 9
  19. 540
  20. 4830
  21. 600
  22. 63
  23. 4
  24. 50
  25. 4830
  26. 2300
  27. 45
  28. 172
  29. 144
  30. 560
  31. 40
  32. 1440
  33. 900
  34. 18
  35. 1610
  36. 7
  37. 125
  38. 450
  39. 45
  40. 840

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