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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 86 · 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 square has a perimeter of 8 cm. What is its area (in square cm)?
  2. 2.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 ₹)?
  3. 3.A square has a perimeter of 24 cm. What is its area (in square cm)?
  4. 4.The perimeter of a rectangle is 64 cm and its length is 30 cm. What is its width (in cm)?
  5. 5.From a rectangle 18 cm long and 11 cm wide, a rectangle 11 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
  7. 7.From a rectangle 19 cm long and 6 cm wide, a rectangle 8 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.A square has a perimeter of 52 cm. What is its area (in square cm)?
  9. 9.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.The perimeter of a rectangle is 68 cm and its length is 19 cm. What is its width (in cm)?
  12. 12.A square has a perimeter of 16 cm. What is its area (in square cm)?
  13. 13.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 ₹)?
  14. 14.The perimeter of a rectangle is 28 cm and its length is 11 cm. What is its width (in cm)?
  15. 15.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
  16. 16.A wall is 5 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A square has a perimeter of 28 cm. What is its area (in square cm)?
  18. 18.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.A wall is 3 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.A rectangular field is 65 m long and 25 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A square has a perimeter of 76 cm. What is its area (in square cm)?
  22. 22.A wall is 4 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.From a rectangle 6 cm long and 11 cm wide, a rectangle 4 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
  26. 26.From a rectangle 7 cm long and 14 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)?
  27. 27.A square has a perimeter of 12 cm. What is its area (in square cm)?
  28. 28.A wall is 10 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.A rectangular field is 90 m long and 45 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.Each side of a square is 5 cm. What is its perimeter (in cm)?
  31. 31.The perimeter of a rectangle is 46 cm and its length is 16 cm. What is its width (in cm)?
  32. 32.A rectangular field is 55 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A square has a perimeter of 36 cm. What is its area (in square cm)?
  34. 34.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
  35. 35.The perimeter of a rectangle is 32 cm and its length is 12 cm. What is its width (in cm)?
  36. 36.The perimeter of a rectangle is 98 cm and its length is 28 cm. What is its width (in cm)?
  37. 37.A rectangular field is 90 m long and 80 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.The perimeter of a rectangle is 44 cm and its length is 13 cm. What is its width (in cm)?
  39. 39.A square has a perimeter of 20 cm. What is its area (in square cm)?
  40. 40.Each side of a regular octagon is 25 cm. What is its perimeter (in cm)?

Answer key

  1. 4
  2. 700
  3. 36
  4. 2
  5. 187
  6. 112
  7. 106
  8. 169
  9. 1430
  10. 2990
  11. 15
  12. 16
  13. 540
  14. 3
  15. 18
  16. 525
  17. 49
  18. 1440
  19. 270
  20. 3600
  21. 361
  22. 160
  23. 960
  24. 30
  25. 144
  26. 94
  27. 9
  28. 600
  29. 4320
  30. 20
  31. 7
  32. 1680
  33. 81
  34. 3
  35. 4
  36. 21
  37. 7140
  38. 9
  39. 25
  40. 200

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