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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 12 · 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 rectangular field is 50 m long and 20 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.The perimeter of a rectangle is 44 cm and its length is 15 cm. What is its width (in cm)?
  3. 3.From a rectangle 8 cm long and 5 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)?
  4. 4.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
  5. 5.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.A wall is 5 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.From a rectangle 13 cm long and 6 cm wide, a rectangle 9 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.The perimeter of a rectangle is 28 cm and its length is 11 cm. What is its width (in cm)?
  9. 9.From a rectangle 10 cm long and 10 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)?
  10. 10.A square has a perimeter of 24 cm. What is its area (in square cm)?
  11. 11.A wall is 12 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.From a rectangle 20 cm long and 6 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)?
  13. 13.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
  14. 14.From a rectangle 13 cm long and 7 cm wide, a rectangle 6 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  15. 15.A wall is 4 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.Each side of a regular pentagon is 20 cm. What is its perimeter (in cm)?
  17. 17.A wall is 5 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
  19. 19.The perimeter of a rectangle is 54 cm and its length is 14 cm. What is its width (in cm)?
  20. 20.A rectangular field is 60 m long and 50 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A square has a perimeter of 44 cm. What is its area (in square cm)?
  22. 22.From a rectangle 9 cm long and 10 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)?
  23. 23.A rectangular field is 90 m long and 55 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
  25. 25.A wall is 3 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?
  27. 27.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
  28. 28.A wall is 10 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.A square has a perimeter of 12 cm. What is its area (in square cm)?
  30. 30.A wall is 6 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.Each side of a square is 2 cm. What is its perimeter (in cm)?
  33. 33.Each side of a square is 24 cm. What is its perimeter (in cm)?
  34. 34.A rectangular field is 85 m long and 35 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.A square has a perimeter of 52 cm. What is its area (in square cm)?
  36. 36.A square has a perimeter of 28 cm. What is its area (in square cm)?
  37. 37.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  38. 38.A wall is 5 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.From a rectangle 17 cm long and 5 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.From a rectangle 16 cm long and 7 cm wide, a rectangle 8 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 3080
  2. 7
  3. 35
  4. 96
  5. 1680
  6. 450
  7. 69
  8. 3
  9. 97
  10. 36
  11. 1080
  12. 114
  13. 30
  14. 61
  15. 360
  16. 100
  17. 250
  18. 168
  19. 13
  20. 3740
  21. 121
  22. 72
  23. 2320
  24. 75
  25. 300
  26. 90
  27. 39
  28. 1250
  29. 9
  30. 1200
  31. 1320
  32. 8
  33. 96
  34. 1680
  35. 169
  36. 49
  37. 9
  38. 600
  39. 81
  40. 80

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