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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 220 · 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 rectangular field is 40 m long and 30 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.Each side of a square is 9 cm. What is its perimeter (in cm)?
  3. 3.A rectangular field is 95 m long and 30 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.A rectangular field is 75 m long and 50 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.A wall is 6 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.The perimeter of a rectangle is 64 cm and its length is 24 cm. What is its width (in cm)?
  7. 7.A square has a perimeter of 12 cm. What is its area (in square cm)?
  8. 8.A rectangular field is 80 m long and 30 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.A wall is 3 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.A square has a perimeter of 76 cm. What is its area (in square cm)?
  11. 11.A rectangular field is 85 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.A wall is 8 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.The perimeter of a rectangle is 66 cm and its length is 19 cm. What is its width (in cm)?
  14. 14.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
  15. 15.The perimeter of a rectangle is 42 cm and its length is 19 cm. What is its width (in cm)?
  16. 16.The perimeter of a rectangle is 56 cm and its length is 22 cm. What is its width (in cm)?
  17. 17.Each side of a square is 5 cm. What is its perimeter (in cm)?
  18. 18.A rectangular field is 65 m long and 40 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.Each side of a regular octagon is 15 cm. What is its perimeter (in cm)?
  21. 21.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
  22. 22.A wall is 8 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.The perimeter of a rectangle is 76 cm and its length is 24 cm. What is its width (in cm)?
  24. 24.A square has a perimeter of 64 cm. What is its area (in square cm)?
  25. 25.From a rectangle 20 cm long and 11 cm wide, a rectangle 10 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
  27. 27.A wall is 5 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.From a rectangle 15 cm long and 5 cm wide, a rectangle 10 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.The perimeter of a rectangle is 22 cm and its length is 7 cm. What is its width (in cm)?
  30. 30.From a rectangle 11 cm long and 13 cm wide, a rectangle 5 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.From a rectangle 8 cm long and 14 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)?
  32. 32.A square has a perimeter of 72 cm. What is its area (in square cm)?
  33. 33.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
  34. 34.A square has a perimeter of 44 cm. What is its area (in square cm)?
  35. 35.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.From a rectangle 18 cm long and 15 cm wide, a rectangle 13 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
  39. 39.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?

Answer key

  1. 1680
  2. 36
  3. 1250
  4. 1500
  5. 540
  6. 8
  7. 9
  8. 4620
  9. 210
  10. 361
  11. 4180
  12. 1400
  13. 14
  14. 15
  15. 2
  16. 6
  17. 20
  18. 4830
  19. 1540
  20. 120
  21. 45
  22. 960
  23. 14
  24. 256
  25. 200
  26. 48
  27. 200
  28. 55
  29. 4
  30. 113
  31. 106
  32. 324
  33. 39
  34. 121
  35. 1440
  36. 179
  37. 1120
  38. 3
  39. 2200
  40. 5

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