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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 245 · 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 wall is 5 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.The perimeter of a rectangle is 66 cm and its length is 19 cm. What is its width (in cm)?
  3. 3.From a rectangle 10 cm long and 7 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.Each side of a square is 4 cm. What is its perimeter (in cm)?
  5. 5.The perimeter of a rectangle is 90 cm and its length is 25 cm. What is its width (in cm)?
  6. 6.A rectangular field is 65 m long and 50 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
  8. 8.A wall is 11 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.A wall is 6 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.A rectangular field is 55 m long and 25 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.A wall is 7 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
  13. 13.The perimeter of a rectangle is 98 cm and its length is 28 cm. What is its width (in cm)?
  14. 14.A rectangular field is 60 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.From a rectangle 15 cm long and 8 cm wide, a rectangle 11 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.From a rectangle 8 cm long and 5 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.Each side of a square is 8 cm. What is its perimeter (in cm)?
  18. 18.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
  19. 19.A square has a perimeter of 32 cm. What is its area (in square cm)?
  20. 20.The perimeter of a rectangle is 64 cm and its length is 25 cm. What is its width (in cm)?
  21. 21.The perimeter of a rectangle is 92 cm and its length is 27 cm. What is its width (in cm)?
  22. 22.Each side of a square is 6 cm. What is its perimeter (in cm)?
  23. 23.From a rectangle 10 cm long and 5 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)?
  24. 24.A square has a perimeter of 8 cm. What is its area (in square cm)?
  25. 25.A square has a perimeter of 12 cm. What is its area (in square cm)?
  26. 26.A square has a perimeter of 48 cm. What is its area (in square cm)?
  27. 27.From a rectangle 13 cm long and 5 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.From a rectangle 13 cm long and 14 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  30. 30.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A square has a perimeter of 24 cm. What is its area (in square cm)?
  32. 32.A square has a perimeter of 64 cm. What is its area (in square cm)?
  33. 33.The perimeter of a rectangle is 32 cm and its length is 9 cm. What is its width (in cm)?
  34. 34.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
  35. 35.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
  36. 36.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
  37. 37.From a rectangle 14 cm long and 8 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.From a rectangle 14 cm long and 10 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.A wall is 8 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 600
  2. 14
  3. 67
  4. 16
  5. 20
  6. 1610
  7. 15
  8. 1320
  9. 420
  10. 800
  11. 1890
  12. 120
  13. 21
  14. 1500
  15. 76
  16. 37
  17. 32
  18. 72
  19. 64
  20. 7
  21. 19
  22. 24
  23. 42
  24. 4
  25. 9
  26. 144
  27. 58
  28. 174
  29. 2
  30. 800
  31. 36
  32. 256
  33. 7
  34. 144
  35. 78
  36. 51
  37. 102
  38. 133
  39. 720
  40. 1620

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