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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 449 · 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.From a rectangle 14 cm long and 9 cm wide, a rectangle 10 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.From a rectangle 19 cm long and 11 cm wide, a rectangle 9 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  3. 3.Each side of a square is 16 cm. What is its perimeter (in cm)?
  4. 4.A square has a perimeter of 28 cm. What is its area (in square cm)?
  5. 5.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
  6. 6.A rectangular field is 70 m long and 25 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.A square has a perimeter of 60 cm. What is its area (in square cm)?
  8. 8.From a rectangle 20 cm long and 14 cm wide, a rectangle 15 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  9. 9.A square has a perimeter of 48 cm. What is its area (in square cm)?
  10. 10.A square has a perimeter of 44 cm. What is its area (in square cm)?
  11. 11.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?
  12. 12.A rectangular field is 50 m long and 40 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.From a rectangle 8 cm long and 7 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.A wall is 11 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.The perimeter of a rectangle is 30 cm and its length is 10 cm. What is its width (in cm)?
  16. 16.From a rectangle 16 cm long and 7 cm wide, a rectangle 9 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.A square has a perimeter of 32 cm. What is its area (in square cm)?
  18. 18.The perimeter of a rectangle is 38 cm and its length is 11 cm. What is its width (in cm)?
  19. 19.A wall is 5 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.The perimeter of a rectangle is 22 cm and its length is 6 cm. What is its width (in cm)?
  21. 21.A square has a perimeter of 36 cm. What is its area (in square cm)?
  22. 22.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
  23. 23.A wall is 12 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.Each side of a square is 6 cm. What is its perimeter (in cm)?
  25. 25.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
  26. 26.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
  27. 27.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
  28. 28.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
  29. 29.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A wall is 8 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.The perimeter of a rectangle is 80 cm and its length is 21 cm. What is its width (in cm)?
  32. 32.From a rectangle 18 cm long and 7 cm wide, a rectangle 16 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
  34. 34.The perimeter of a rectangle is 34 cm and its length is 14 cm. What is its width (in cm)?
  35. 35.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.Each side of a square is 8 cm. What is its perimeter (in cm)?
  37. 37.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 ₹)?
  38. 38.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.A wall is 8 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.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 ₹)?

Answer key

  1. 86
  2. 173
  3. 64
  4. 49
  5. 15
  6. 4370
  7. 225
  8. 220
  9. 144
  10. 121
  11. 20
  12. 900
  13. 55
  14. 1320
  15. 5
  16. 76
  17. 64
  18. 8
  19. 750
  20. 5
  21. 81
  22. 78
  23. 480
  24. 24
  25. 18
  26. 33
  27. 64
  28. 102
  29. 1190
  30. 640
  31. 19
  32. 94
  33. 50
  34. 3
  35. 2500
  36. 32
  37. 240
  38. 490
  39. 320
  40. 600

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