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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 667 · 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 13 cm. What is its perimeter (in cm)?
  2. 2.A rectangular field is 100 m long and 75 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
  4. 4.From a rectangle 13 cm long and 6 cm wide, a rectangle 11 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  5. 5.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
  6. 6.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
  7. 7.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.A wall is 12 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.A rectangular field is 85 m long and 50 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.A square has a perimeter of 28 cm. What is its area (in square cm)?
  11. 11.A wall is 12 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A wall is 10 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.A wall is 10 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
  16. 16.A rectangular field is 55 m long and 25 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.The perimeter of a rectangle is 40 cm and its length is 12 cm. What is its width (in cm)?
  19. 19.Each side of a square is 7 cm. What is its perimeter (in cm)?
  20. 20.A wall is 8 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
  22. 22.A square has a perimeter of 36 cm. What is its area (in square cm)?
  23. 23.A wall is 7 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.A wall is 6 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
  27. 27.A wall is 4 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.A square has a perimeter of 76 cm. What is its area (in square cm)?
  29. 29.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
  30. 30.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.The perimeter of a rectangle is 68 cm and its length is 24 cm. What is its width (in cm)?
  32. 32.From a rectangle 7 cm long and 8 cm wide, a rectangle 4 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.From a rectangle 14 cm long and 12 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)?
  34. 34.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  35. 35.From a rectangle 20 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)?
  36. 36.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.From a rectangle 9 cm long and 8 cm wide, a rectangle 6 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
  39. 39.Each side of a square is 8 cm. What is its perimeter (in cm)?
  40. 40.The perimeter of a rectangle is 44 cm and its length is 16 cm. What is its width (in cm)?

Answer key

  1. 39
  2. 8750
  3. 88
  4. 45
  5. 60
  6. 102
  7. 2200
  8. 720
  9. 1350
  10. 49
  11. 2520
  12. 800
  13. 2000
  14. 660
  15. 54
  16. 1760
  17. 1000
  18. 8
  19. 28
  20. 560
  21. 63
  22. 81
  23. 1680
  24. 720
  25. 1920
  26. 75
  27. 180
  28. 361
  29. 18
  30. 2520
  31. 10
  32. 32
  33. 140
  34. 25
  35. 172
  36. 990
  37. 42
  38. 64
  39. 32
  40. 6

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