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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 643 · 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.The perimeter of a rectangle is 98 cm and its length is 28 cm. What is its width (in cm)?
  2. 2.A wall is 12 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.A wall is 7 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.The perimeter of a rectangle is 36 cm and its length is 11 cm. What is its width (in cm)?
  5. 5.A square has a perimeter of 60 cm. What is its area (in square cm)?
  6. 6.A square has a perimeter of 56 cm. What is its area (in square cm)?
  7. 7.The perimeter of a rectangle is 50 cm and its length is 20 cm. What is its width (in cm)?
  8. 8.A square has a perimeter of 80 cm. What is its area (in square cm)?
  9. 9.A square has a perimeter of 24 cm. What is its area (in square cm)?
  10. 10.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.From a rectangle 9 cm long and 6 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.A square has a perimeter of 32 cm. What is its area (in square cm)?
  13. 13.A rectangular field is 85 m long and 55 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
  15. 15.From a rectangle 7 cm long and 5 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.The perimeter of a rectangle is 74 cm and its length is 19 cm. What is its width (in cm)?
  17. 17.The perimeter of a rectangle is 46 cm and its length is 13 cm. What is its width (in cm)?
  18. 18.The perimeter of a rectangle is 66 cm and its length is 18 cm. What is its width (in cm)?
  19. 19.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
  20. 20.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.From a rectangle 15 cm long and 5 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
  23. 23.A square has a perimeter of 48 cm. What is its area (in square cm)?
  24. 24.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
  25. 25.A rectangular field is 90 m long and 45 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.Each side of a regular pentagon is 17 cm. What is its perimeter (in cm)?
  27. 27.The perimeter of a rectangle is 62 cm and its length is 27 cm. What is its width (in cm)?
  28. 28.The perimeter of a rectangle is 118 cm and its length is 30 cm. What is its width (in cm)?
  29. 29.The perimeter of a rectangle is 70 cm and its length is 30 cm. What is its width (in cm)?
  30. 30.The perimeter of a rectangle is 54 cm and its length is 23 cm. What is its width (in cm)?
  31. 31.From a rectangle 9 cm long and 14 cm wide, a rectangle 6 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
  33. 33.The perimeter of a rectangle is 40 cm and its length is 18 cm. What is its width (in cm)?
  34. 34.A wall is 4 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
  36. 36.A wall is 5 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.Each side of a square is 6 cm. What is its perimeter (in cm)?
  38. 38.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.A rectangular field is 50 m long and 30 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.A wall is 6 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 21
  2. 1500
  3. 525
  4. 7
  5. 225
  6. 196
  7. 5
  8. 400
  9. 36
  10. 980
  11. 42
  12. 64
  13. 1960
  14. 33
  15. 31
  16. 18
  17. 10
  18. 15
  19. 40
  20. 800
  21. 63
  22. 30
  23. 144
  24. 27
  25. 3780
  26. 85
  27. 4
  28. 29
  29. 5
  30. 4
  31. 72
  32. 192
  33. 2
  34. 360
  35. 48
  36. 1250
  37. 24
  38. 350
  39. 1600
  40. 720

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