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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 381 · 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.A square has a perimeter of 32 cm. What is its area (in square cm)?
  2. 2.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
  3. 3.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
  4. 4.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.From a rectangle 19 cm long and 12 cm wide, a rectangle 14 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
  7. 7.A rectangular field is 65 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.A square has a perimeter of 68 cm. What is its area (in square cm)?
  9. 9.A wall is 11 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.A square has a perimeter of 20 cm. What is its area (in square cm)?
  11. 11.A wall is 3 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A wall is 9 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.The perimeter of a rectangle is 38 cm and its length is 16 cm. What is its width (in cm)?
  14. 14.A rectangular field is 80 m long and 25 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.A square has a perimeter of 76 cm. What is its area (in square cm)?
  16. 16.A rectangular field is 100 m long and 45 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.A square has a perimeter of 24 cm. What is its area (in square cm)?
  18. 18.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
  19. 19.From a rectangle 6 cm long and 13 cm wide, a rectangle 1 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.The perimeter of a rectangle is 64 cm and its length is 24 cm. What is its width (in cm)?
  21. 21.A wall is 7 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.Each side of a square is 18 cm. What is its perimeter (in cm)?
  23. 23.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A wall is 11 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.The perimeter of a rectangle is 66 cm and its length is 23 cm. What is its width (in cm)?
  26. 26.The perimeter of a rectangle is 50 cm and its length is 13 cm. What is its width (in cm)?
  27. 27.A wall is 3 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.From a rectangle 20 cm long and 5 cm wide, a rectangle 10 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.From a rectangle 14 cm long and 12 cm wide, a rectangle 7 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.A wall is 6 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.A square has a perimeter of 36 cm. What is its area (in square cm)?
  32. 32.The perimeter of a rectangle is 66 cm and its length is 22 cm. What is its width (in cm)?
  33. 33.A square has a perimeter of 16 cm. What is its area (in square cm)?
  34. 34.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
  35. 35.From a rectangle 7 cm long and 13 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.A wall is 10 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.From a rectangle 13 cm long and 7 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.From a rectangle 19 cm long and 6 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)?
  39. 39.A square has a perimeter of 8 cm. What is its area (in square cm)?
  40. 40.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?

Answer key

  1. 64
  2. 60
  3. 48
  4. 2160
  5. 116
  6. 4
  7. 750
  8. 289
  9. 880
  10. 25
  11. 240
  12. 540
  13. 3
  14. 1050
  15. 361
  16. 5510
  17. 36
  18. 45
  19. 72
  20. 8
  21. 210
  22. 72
  23. 3150
  24. 990
  25. 10
  26. 12
  27. 360
  28. 90
  29. 126
  30. 240
  31. 81
  32. 11
  33. 16
  34. 78
  35. 82
  36. 600
  37. 88
  38. 102
  39. 4
  40. 3

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