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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 489 · 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 48 cm. What is its area (in square cm)?
  2. 2.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.A rectangular field is 75 m long and 45 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
  5. 5.The perimeter of a rectangle is 18 cm and its length is 7 cm. What is its width (in cm)?
  6. 6.Each side of a square is 4 cm. What is its perimeter (in cm)?
  7. 7.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
  8. 8.From a rectangle 15 cm long and 12 cm wide, a rectangle 11 cm by 8 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 68 cm. What is its area (in square cm)?
  10. 10.From a rectangle 14 cm long and 9 cm wide, a rectangle 12 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  11. 11.The perimeter of a rectangle is 50 cm and its length is 14 cm. What is its width (in cm)?
  12. 12.A wall is 10 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.From a rectangle 17 cm long and 11 cm wide, a rectangle 7 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  15. 15.Each side of a square is 7 cm. What is its perimeter (in cm)?
  16. 16.A square has a perimeter of 56 cm. What is its area (in square cm)?
  17. 17.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.A rectangular field is 100 m long and 35 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.A rectangular field is 60 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A square has a perimeter of 28 cm. What is its area (in square cm)?
  21. 21.A square has a perimeter of 32 cm. What is its area (in square cm)?
  22. 22.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.The perimeter of a rectangle is 42 cm and its length is 16 cm. What is its width (in cm)?
  24. 24.The perimeter of a rectangle is 52 cm and its length is 17 cm. What is its width (in cm)?
  25. 25.Each side of a square is 12 cm. What is its perimeter (in cm)?
  26. 26.From a rectangle 19 cm long and 7 cm wide, a rectangle 11 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.The perimeter of a rectangle is 36 cm and its length is 15 cm. What is its width (in cm)?
  28. 28.From a rectangle 20 cm long and 12 cm wide, a rectangle 10 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.A wall is 3 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
  31. 31.The perimeter of a rectangle is 26 cm and its length is 11 cm. What is its width (in cm)?
  32. 32.A rectangular field is 75 m long and 30 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.The perimeter of a rectangle is 26 cm and its length is 8 cm. What is its width (in cm)?
  34. 34.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
  35. 35.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
  36. 36.The perimeter of a rectangle is 38 cm and its length is 15 cm. What is its width (in cm)?
  37. 37.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
  38. 38.The perimeter of a rectangle is 110 cm and its length is 28 cm. What is its width (in cm)?
  39. 39.A wall is 11 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.A rectangular field is 80 m long and 30 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 144
  2. 550
  3. 1440
  4. 39
  5. 2
  6. 16
  7. 6
  8. 92
  9. 289
  10. 54
  11. 11
  12. 600
  13. 2940
  14. 166
  15. 28
  16. 196
  17. 1120
  18. 3780
  19. 3080
  20. 49
  21. 64
  22. 1800
  23. 5
  24. 9
  25. 48
  26. 78
  27. 3
  28. 140
  29. 375
  30. 88
  31. 2
  32. 5040
  33. 5
  34. 48
  35. 30
  36. 4
  37. 72
  38. 27
  39. 1540
  40. 2860

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