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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 574 · 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 21 cm. What is its perimeter (in cm)?
  2. 2.A wall is 5 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.From a rectangle 15 cm long and 9 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.Each side of a square is 17 cm. What is its perimeter (in cm)?
  5. 5.A wall is 7 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.A square has a perimeter of 32 cm. What is its area (in square cm)?
  7. 7.From a rectangle 18 cm long and 12 cm wide, a rectangle 15 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.A rectangular field is 70 m long and 45 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
  10. 10.A square has a perimeter of 28 cm. What is its area (in square cm)?
  11. 11.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  12. 12.A rectangular field is 75 m long and 20 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
  14. 14.A wall is 8 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
  16. 16.A square has a perimeter of 24 cm. What is its area (in square cm)?
  17. 17.A square has a perimeter of 16 cm. What is its area (in square cm)?
  18. 18.A wall is 8 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.A square has a perimeter of 80 cm. What is its area (in square cm)?
  20. 20.A wall is 10 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.From a rectangle 14 cm long and 11 cm wide, a rectangle 12 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.The perimeter of a rectangle is 38 cm and its length is 17 cm. What is its width (in cm)?
  23. 23.The perimeter of a rectangle is 32 cm and its length is 12 cm. What is its width (in cm)?
  24. 24.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
  25. 25.A square has a perimeter of 68 cm. What is its area (in square cm)?
  26. 26.The perimeter of a rectangle is 102 cm and its length is 26 cm. What is its width (in cm)?
  27. 27.From a rectangle 10 cm long and 12 cm wide, a rectangle 7 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.A square has a perimeter of 8 cm. What is its area (in square cm)?
  29. 29.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
  30. 30.The perimeter of a rectangle is 50 cm and its length is 13 cm. What is its width (in cm)?
  31. 31.From a rectangle 13 cm long and 12 cm wide, a rectangle 9 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.A square has a perimeter of 36 cm. What is its area (in square cm)?
  33. 33.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
  34. 34.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
  35. 35.A rectangular field is 95 m long and 25 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.A wall is 3 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
  38. 38.A square has a perimeter of 56 cm. What is its area (in square cm)?
  39. 39.A wall is 6 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 105
  2. 300
  3. 119
  4. 68
  5. 630
  6. 64
  7. 171
  8. 3910
  9. 4
  10. 49
  11. 2
  12. 3610
  13. 16
  14. 960
  15. 126
  16. 36
  17. 16
  18. 600
  19. 400
  20. 1750
  21. 142
  22. 2
  23. 4
  24. 30
  25. 289
  26. 25
  27. 85
  28. 4
  29. 65
  30. 12
  31. 75
  32. 81
  33. 15
  34. 54
  35. 4560
  36. 405
  37. 104
  38. 196
  39. 1500
  40. 1320

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