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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 360 · 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 74 cm and its length is 20 cm. What is its width (in cm)?
  2. 2.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
  3. 3.The perimeter of a rectangle is 40 cm and its length is 15 cm. What is its width (in cm)?
  4. 4.A square has a perimeter of 56 cm. What is its area (in square cm)?
  5. 5.A wall is 8 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.A square has a perimeter of 36 cm. What is its area (in square cm)?
  7. 7.Each side of a square is 6 cm. What is its perimeter (in cm)?
  8. 8.A rectangular field is 80 m long and 45 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.A rectangular field is 70 m long and 60 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.The perimeter of a rectangle is 26 cm and its length is 9 cm. What is its width (in cm)?
  11. 11.The perimeter of a rectangle is 36 cm and its length is 12 cm. What is its width (in cm)?
  12. 12.A rectangular field is 75 m long and 25 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
  14. 14.A wall is 4 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.A rectangular field is 55 m long and 30 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A wall is 9 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A square has a perimeter of 32 cm. What is its area (in square cm)?
  18. 18.A rectangular field is 65 m long and 25 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A rectangular field is 60 m long and 35 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.The perimeter of a rectangle is 20 cm and its length is 8 cm. What is its width (in cm)?
  22. 22.From a rectangle 12 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)?
  23. 23.The perimeter of a rectangle is 50 cm and its length is 20 cm. What is its width (in cm)?
  24. 24.A wall is 7 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.The perimeter of a rectangle is 28 cm and its length is 12 cm. What is its width (in cm)?
  26. 26.A rectangular field is 80 m long and 20 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.From a rectangle 19 cm long and 9 cm wide, a rectangle 15 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.Each side of an equilateral triangle is 10 cm. What is its perimeter (in cm)?
  29. 29.A rectangular field is 100 m long and 90 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A square has a perimeter of 80 cm. What is its area (in square cm)?
  31. 31.A square has a perimeter of 16 cm. What is its area (in square cm)?
  32. 32.A square has a perimeter of 48 cm. What is its area (in square cm)?
  33. 33.The perimeter of a rectangle is 54 cm and its length is 25 cm. What is its width (in cm)?
  34. 34.The perimeter of a rectangle is 74 cm and its length is 27 cm. What is its width (in cm)?
  35. 35.From a rectangle 11 cm long and 7 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)?
  36. 36.A wall is 4 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.A square has a perimeter of 64 cm. What is its area (in square cm)?
  38. 38.A square has a perimeter of 52 cm. What is its area (in square cm)?
  39. 39.From a rectangle 15 cm long and 10 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)?
  40. 40.The perimeter of a rectangle is 64 cm and its length is 27 cm. What is its width (in cm)?

Answer key

  1. 17
  2. 33
  3. 5
  4. 196
  5. 800
  6. 81
  7. 24
  8. 5250
  9. 2600
  10. 4
  11. 6
  12. 2400
  13. 24
  14. 700
  15. 2040
  16. 2160
  17. 64
  18. 3780
  19. 3250
  20. 3230
  21. 2
  22. 48
  23. 5
  24. 700
  25. 2
  26. 3800
  27. 96
  28. 30
  29. 3040
  30. 400
  31. 16
  32. 144
  33. 2
  34. 10
  35. 57
  36. 720
  37. 256
  38. 169
  39. 130
  40. 5

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