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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 445 · 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 a square is 22 cm. What is its perimeter (in cm)?
  2. 2.A square has a perimeter of 24 cm. What is its area (in square cm)?
  3. 3.A rectangular field is 95 m long and 25 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
  5. 5.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
  6. 6.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.The perimeter of a rectangle is 94 cm and its length is 25 cm. What is its width (in cm)?
  8. 8.The perimeter of a rectangle is 52 cm and its length is 18 cm. What is its width (in cm)?
  9. 9.A wall is 9 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.A square has a perimeter of 76 cm. What is its area (in square cm)?
  11. 11.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.From a rectangle 6 cm long and 7 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  13. 13.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  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 wall is 12 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
  17. 17.The perimeter of a rectangle is 62 cm and its length is 20 cm. What is its width (in cm)?
  18. 18.The perimeter of a rectangle is 74 cm and its length is 25 cm. What is its width (in cm)?
  19. 19.A rectangular field is 65 m long and 25 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  21. 21.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
  23. 23.A rectangular field is 80 m long and 50 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A rectangular field is 95 m long and 50 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
  26. 26.A rectangular field is 85 m long and 80 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.A square has a perimeter of 56 cm. What is its area (in square cm)?
  28. 28.The perimeter of a rectangle is 52 cm and its length is 21 cm. What is its width (in cm)?
  29. 29.A wall is 8 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.From a rectangle 20 cm long and 13 cm wide, a rectangle 5 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.A square has a perimeter of 28 cm. What is its area (in square cm)?
  34. 34.From a rectangle 8 cm long and 5 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.From a rectangle 12 cm long and 9 cm wide, a rectangle 6 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.A wall is 3 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.Each side of a square is 6 cm. What is its perimeter (in cm)?
  38. 38.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
  39. 39.The perimeter of a rectangle is 98 cm and its length is 28 cm. What is its width (in cm)?
  40. 40.From a rectangle 14 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)?

Answer key

  1. 88
  2. 36
  3. 4320
  4. 45
  5. 160
  6. 4750
  7. 22
  8. 8
  9. 810
  10. 361
  11. 600
  12. 34
  13. 1950
  14. 10
  15. 240
  16. 65
  17. 11
  18. 12
  19. 4500
  20. 36
  21. 1260
  22. 64
  23. 6500
  24. 1740
  25. 144
  26. 2640
  27. 196
  28. 5
  29. 720
  30. 2040
  31. 360
  32. 230
  33. 49
  34. 34
  35. 66
  36. 540
  37. 24
  38. 72
  39. 21
  40. 72

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