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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 525 · 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 72 cm and its length is 19 cm. What is its width (in cm)?
  2. 2.Each side of a square is 11 cm. What is its perimeter (in cm)?
  3. 3.A wall is 5 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.From a rectangle 9 cm long and 13 cm wide, a rectangle 1 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  5. 5.A wall is 8 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
  7. 7.A square has a perimeter of 40 cm. What is its area (in square cm)?
  8. 8.A wall is 7 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.The perimeter of a rectangle is 38 cm and its length is 11 cm. What is its width (in cm)?
  10. 10.A rectangular field is 80 m long and 70 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.A wall is 10 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A square has a perimeter of 44 cm. What is its area (in square cm)?
  13. 13.The perimeter of a rectangle is 74 cm and its length is 23 cm. What is its width (in cm)?
  14. 14.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.Each side of a square is 4 cm. What is its perimeter (in cm)?
  16. 16.A square has a perimeter of 48 cm. What is its area (in square cm)?
  17. 17.A square has a perimeter of 16 cm. What is its area (in square cm)?
  18. 18.Each side of a square is 9 cm. What is its perimeter (in cm)?
  19. 19.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A rectangular field is 65 m long and 35 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A wall is 10 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
  23. 23.A wall is 6 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.The perimeter of a rectangle is 46 cm and its length is 15 cm. What is its width (in cm)?
  25. 25.A wall is 10 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.The perimeter of a rectangle is 74 cm and its length is 26 cm. What is its width (in cm)?
  27. 27.The perimeter of a rectangle is 36 cm and its length is 11 cm. What is its width (in cm)?
  28. 28.A wall is 10 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.From a rectangle 6 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)?
  30. 30.The perimeter of a rectangle is 22 cm and its length is 6 cm. What is its width (in cm)?
  31. 31.Each side of a square is 8 cm. What is its perimeter (in cm)?
  32. 32.A wall is 10 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.The perimeter of a rectangle is 66 cm and its length is 18 cm. What is its width (in cm)?
  34. 34.A wall is 12 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.A wall is 6 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
  38. 38.A square has a perimeter of 68 cm. What is its area (in square cm)?
  39. 39.The perimeter of a rectangle is 54 cm and its length is 22 cm. What is its width (in cm)?
  40. 40.A square has a perimeter of 80 cm. What is its area (in square cm)?

Answer key

  1. 17
  2. 44
  3. 625
  4. 107
  5. 1920
  6. 39
  7. 100
  8. 630
  9. 8
  10. 5100
  11. 200
  12. 121
  13. 14
  14. 3150
  15. 16
  16. 144
  17. 16
  18. 36
  19. 720
  20. 4000
  21. 300
  22. 60
  23. 1350
  24. 8
  25. 1200
  26. 11
  27. 7
  28. 1500
  29. 24
  30. 5
  31. 32
  32. 2000
  33. 15
  34. 2100
  35. 960
  36. 840
  37. 96
  38. 289
  39. 5
  40. 400

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