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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 384 · 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.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
  2. 2.A rectangular field is 100 m long and 80 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.The perimeter of a rectangle is 22 cm and its length is 6 cm. What is its width (in cm)?
  4. 4.From a rectangle 6 cm long and 6 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  5. 5.A wall is 10 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.A square has a perimeter of 24 cm. What is its area (in square cm)?
  8. 8.From a rectangle 12 cm long and 14 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  9. 9.A wall is 6 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.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 ₹)?
  11. 11.The perimeter of a rectangle is 92 cm and its length is 24 cm. What is its width (in cm)?
  12. 12.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 ₹)?
  13. 13.A square has a perimeter of 44 cm. What is its area (in square cm)?
  14. 14.The perimeter of a rectangle is 44 cm and its length is 12 cm. What is its width (in cm)?
  15. 15.A square has a perimeter of 64 cm. What is its area (in square cm)?
  16. 16.From a rectangle 18 cm long and 6 cm wide, a rectangle 14 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.A wall is 9 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
  19. 19.A square has a perimeter of 28 cm. What is its area (in square cm)?
  20. 20.The perimeter of a rectangle is 48 cm and its length is 22 cm. What is its width (in cm)?
  21. 21.The perimeter of a rectangle is 46 cm and its length is 18 cm. What is its width (in cm)?
  22. 22.A wall is 7 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.From a rectangle 10 cm long and 11 cm wide, a rectangle 2 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.The perimeter of a rectangle is 22 cm and its length is 8 cm. What is its width (in cm)?
  25. 25.A square has a perimeter of 68 cm. What is its area (in square cm)?
  26. 26.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
  27. 27.A square has a perimeter of 76 cm. What is its area (in square cm)?
  28. 28.A rectangular field is 65 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.The perimeter of a rectangle is 72 cm and its length is 27 cm. What is its width (in cm)?
  30. 30.A square has a perimeter of 60 cm. What is its area (in square cm)?
  31. 31.The perimeter of a rectangle is 70 cm and its length is 21 cm. What is its width (in cm)?
  32. 32.A square has a perimeter of 52 cm. What is its area (in square cm)?
  33. 33.A square has a perimeter of 12 cm. What is its area (in square cm)?
  34. 34.The perimeter of a rectangle is 78 cm and its length is 22 cm. What is its width (in cm)?
  35. 35.Each side of a regular pentagon is 19 cm. What is its perimeter (in cm)?
  36. 36.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.The perimeter of a rectangle is 42 cm and its length is 12 cm. What is its width (in cm)?
  38. 38.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
  39. 39.A wall is 8 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.The perimeter of a rectangle is 80 cm and its length is 22 cm. What is its width (in cm)?

Answer key

  1. 63
  2. 1800
  3. 5
  4. 34
  5. 450
  6. 990
  7. 36
  8. 164
  9. 720
  10. 525
  11. 22
  12. 1920
  13. 121
  14. 10
  15. 256
  16. 94
  17. 1350
  18. 104
  19. 49
  20. 2
  21. 5
  22. 840
  23. 92
  24. 3
  25. 289
  26. 128
  27. 361
  28. 4080
  29. 9
  30. 225
  31. 14
  32. 169
  33. 9
  34. 17
  35. 95
  36. 3080
  37. 9
  38. 55
  39. 1200
  40. 18

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