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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 597 · 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.From a rectangle 9 cm long and 13 cm wide, a rectangle 2 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.The perimeter of a rectangle is 68 cm and its length is 23 cm. What is its width (in cm)?
  3. 3.A rectangular field is 55 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.A square has a perimeter of 68 cm. What is its area (in square cm)?
  5. 5.A rectangular field is 100 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.A square has a perimeter of 12 cm. What is its area (in square cm)?
  7. 7.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
  8. 8.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
  9. 9.A square has a perimeter of 28 cm. What is its area (in square cm)?
  10. 10.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
  11. 11.The perimeter of a rectangle is 42 cm and its length is 12 cm. What is its width (in cm)?
  12. 12.From a rectangle 8 cm long and 9 cm wide, a rectangle 6 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  13. 13.A wall is 4 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.The perimeter of a rectangle is 68 cm and its length is 26 cm. What is its width (in cm)?
  15. 15.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A rectangular field is 95 m long and 80 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.The perimeter of a rectangle is 56 cm and its length is 16 cm. What is its width (in cm)?
  18. 18.The perimeter of a rectangle is 66 cm and its length is 24 cm. What is its width (in cm)?
  19. 19.A rectangular field is 100 m long and 95 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A rectangular field is 60 m long and 55 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A wall is 4 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.From a rectangle 14 cm long and 12 cm wide, a rectangle 8 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A square has a perimeter of 80 cm. What is its area (in square cm)?
  25. 25.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
  26. 26.The perimeter of a rectangle is 26 cm and its length is 8 cm. What is its width (in cm)?
  27. 27.From a rectangle 15 cm long and 11 cm wide, a rectangle 10 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.From a rectangle 16 cm long and 14 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)?
  29. 29.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
  30. 30.The perimeter of a rectangle is 64 cm and its length is 27 cm. What is its width (in cm)?
  31. 31.A wall is 5 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
  33. 33.A square has a perimeter of 32 cm. What is its area (in square cm)?
  34. 34.A rectangular field is 90 m long and 55 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.Each side of a square is 8 cm. What is its perimeter (in cm)?
  36. 36.From a rectangle 10 cm long and 14 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.A wall is 4 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.From a rectangle 16 cm long and 8 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.From a rectangle 8 cm long and 5 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.The perimeter of a rectangle is 22 cm and its length is 6 cm. What is its width (in cm)?

Answer key

  1. 105
  2. 11
  3. 1950
  4. 289
  5. 5060
  6. 9
  7. 138
  8. 120
  9. 49
  10. 72
  11. 9
  12. 54
  13. 320
  14. 8
  15. 1500
  16. 3500
  17. 12
  18. 9
  19. 8970
  20. 2530
  21. 500
  22. 144
  23. 2530
  24. 400
  25. 75
  26. 5
  27. 145
  28. 213
  29. 40
  30. 5
  31. 450
  32. 128
  33. 64
  34. 1450
  35. 32
  36. 137
  37. 720
  38. 123
  39. 34
  40. 5

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