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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 412 · 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 regular pentagon is 12 cm. What is its perimeter (in cm)?
  2. 2.Each side of a square is 3 cm. What is its perimeter (in cm)?
  3. 3.A wall is 7 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.The perimeter of a rectangle is 64 cm and its length is 25 cm. What is its width (in cm)?
  5. 5.A wall is 10 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.From a rectangle 20 cm long and 10 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.From a rectangle 16 cm long and 8 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)?
  8. 8.From a rectangle 15 cm long and 6 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)?
  9. 9.A rectangular field is 65 m long and 55 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.The perimeter of a rectangle is 60 cm and its length is 27 cm. What is its width (in cm)?
  11. 11.From a rectangle 10 cm long and 13 cm wide, a rectangle 8 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.A square has a perimeter of 64 cm. What is its area (in square cm)?
  13. 13.A square has a perimeter of 80 cm. What is its area (in square cm)?
  14. 14.The perimeter of a rectangle is 72 cm and its length is 29 cm. What is its width (in cm)?
  15. 15.From a rectangle 8 cm long and 5 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.From a rectangle 9 cm long and 10 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)?
  18. 18.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.A square has a perimeter of 16 cm. What is its area (in square cm)?
  20. 20.The perimeter of a rectangle is 88 cm and its length is 28 cm. What is its width (in cm)?
  21. 21.A rectangular field is 55 m long and 30 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.From a rectangle 9 cm long and 15 cm wide, a rectangle 2 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.A wall is 5 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.From a rectangle 17 cm long and 6 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.A wall is 4 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.A square has a perimeter of 32 cm. What is its area (in square cm)?
  28. 28.The perimeter of a rectangle is 38 cm and its length is 12 cm. What is its width (in cm)?
  29. 29.From a rectangle 9 cm long and 9 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)?
  30. 30.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.The perimeter of a rectangle is 108 cm and its length is 29 cm. What is its width (in cm)?
  32. 32.The perimeter of a rectangle is 46 cm and its length is 17 cm. What is its width (in cm)?
  33. 33.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.Each side of an equilateral triangle is 10 cm. What is its perimeter (in cm)?
  35. 35.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
  36. 36.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
  37. 37.Each side of a square is 22 cm. What is its perimeter (in cm)?
  38. 38.The perimeter of a rectangle is 26 cm and its length is 11 cm. What is its width (in cm)?
  39. 39.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?

Answer key

  1. 60
  2. 12
  3. 2100
  4. 7
  5. 2700
  6. 175
  7. 120
  8. 72
  9. 3840
  10. 3
  11. 90
  12. 256
  13. 400
  14. 7
  15. 28
  16. 3250
  17. 82
  18. 720
  19. 16
  20. 16
  21. 1700
  22. 1980
  23. 121
  24. 500
  25. 100
  26. 400
  27. 64
  28. 7
  29. 77
  30. 1400
  31. 25
  32. 6
  33. 1100
  34. 30
  35. 24
  36. 108
  37. 88
  38. 2
  39. 2340
  40. 51

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