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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 354 · 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 76 cm. What is its area (in square cm)?
  2. 2.A square has a perimeter of 24 cm. What is its area (in square cm)?
  3. 3.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.From a rectangle 19 cm long and 9 cm wide, a rectangle 3 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  5. 5.A rectangular field is 55 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
  7. 7.The perimeter of a rectangle is 52 cm and its length is 17 cm. What is its width (in cm)?
  8. 8.A wall is 8 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.A rectangular field is 75 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.A square has a perimeter of 16 cm. What is its area (in square cm)?
  11. 11.A square has a perimeter of 12 cm. What is its area (in square cm)?
  12. 12.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
  14. 14.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.From a rectangle 9 cm long and 11 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.A wall is 7 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A square has a perimeter of 60 cm. What is its area (in square cm)?
  18. 18.A rectangular field is 75 m long and 50 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.Each side of a regular pentagon is 22 cm. What is its perimeter (in cm)?
  20. 20.A wall is 12 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.From a rectangle 7 cm long and 15 cm wide, a rectangle 1 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.A square has a perimeter of 40 cm. What is its area (in square cm)?
  23. 23.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  24. 24.From a rectangle 18 cm long and 9 cm wide, a rectangle 11 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.Each side of a square is 2 cm. What is its perimeter (in cm)?
  26. 26.The perimeter of a rectangle is 42 cm and its length is 17 cm. What is its width (in cm)?
  27. 27.A rectangular field is 80 m long and 75 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A wall is 9 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.The perimeter of a rectangle is 36 cm and its length is 12 cm. What is its width (in cm)?
  32. 32.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
  33. 33.From a rectangle 13 cm long and 8 cm wide, a rectangle 10 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
  35. 35.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
  36. 36.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
  37. 37.The perimeter of a rectangle is 46 cm and its length is 14 cm. What is its width (in cm)?
  38. 38.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
  39. 39.The perimeter of a rectangle is 98 cm and its length is 27 cm. What is its width (in cm)?
  40. 40.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?

Answer key

  1. 361
  2. 36
  3. 1080
  4. 153
  5. 780
  6. 36
  7. 9
  8. 1280
  9. 4560
  10. 16
  11. 9
  12. 1650
  13. 168
  14. 400
  15. 95
  16. 1575
  17. 225
  18. 3500
  19. 110
  20. 540
  21. 93
  22. 100
  23. 36
  24. 129
  25. 8
  26. 4
  27. 5270
  28. 1575
  29. 1540
  30. 1500
  31. 6
  32. 78
  33. 74
  34. 176
  35. 3
  36. 96
  37. 9
  38. 24
  39. 22
  40. 48

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