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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 438 · 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 80 m long and 35 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.A wall is 11 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
  5. 5.A wall is 8 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.The perimeter of a rectangle is 48 cm and its length is 19 cm. What is its width (in cm)?
  7. 7.A wall is 4 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.A wall is 5 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.The perimeter of a rectangle is 64 cm and its length is 21 cm. What is its width (in cm)?
  10. 10.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.A square has a perimeter of 24 cm. What is its area (in square cm)?
  12. 12.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
  13. 13.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A square has a perimeter of 44 cm. What is its area (in square cm)?
  15. 15.A wall is 10 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.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 ₹)?
  17. 17.Each side of a regular hexagon is 25 cm. What is its perimeter (in cm)?
  18. 18.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.From a rectangle 19 cm long and 15 cm wide, a rectangle 12 cm by 2 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 88 cm and its length is 26 cm. What is its width (in cm)?
  21. 21.A square has a perimeter of 76 cm. What is its area (in square cm)?
  22. 22.A square has a perimeter of 20 cm. What is its area (in square cm)?
  23. 23.From a rectangle 9 cm long and 10 cm wide, a rectangle 2 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
  25. 25.Each side of a square is 3 cm. What is its perimeter (in cm)?
  26. 26.A square has a perimeter of 16 cm. What is its area (in square cm)?
  27. 27.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
  28. 28.A rectangular field is 85 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A wall is 8 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.From a rectangle 19 cm long and 9 cm wide, a rectangle 5 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.The perimeter of a rectangle is 28 cm and its length is 9 cm. What is its width (in cm)?
  32. 32.A square has a perimeter of 8 cm. What is its area (in square cm)?
  33. 33.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
  34. 34.The perimeter of a rectangle is 48 cm and its length is 18 cm. What is its width (in cm)?
  35. 35.A square has a perimeter of 52 cm. What is its area (in square cm)?
  36. 36.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
  37. 37.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.A rectangular field is 65 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.From a rectangle 8 cm long and 12 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.Each side of a square is 9 cm. What is its perimeter (in cm)?

Answer key

  1. 1380
  2. 440
  3. 1260
  4. 2
  5. 480
  6. 5
  7. 400
  8. 450
  9. 11
  10. 1820
  11. 36
  12. 84
  13. 1200
  14. 121
  15. 400
  16. 2160
  17. 150
  18. 1610
  19. 261
  20. 18
  21. 361
  22. 25
  23. 76
  24. 70
  25. 12
  26. 16
  27. 12
  28. 5040
  29. 1200
  30. 151
  31. 5
  32. 4
  33. 75
  34. 6
  35. 169
  36. 69
  37. 490
  38. 1920
  39. 93
  40. 36

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