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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 251 · 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 square has a perimeter of 8 cm. What is its area (in square cm)?
  2. 2.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
  3. 3.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.A wall is 11 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.A wall is 4 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.A wall is 3 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.From a rectangle 8 cm long and 11 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)?
  9. 9.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
  10. 10.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.The perimeter of a rectangle is 36 cm and its length is 11 cm. What is its width (in cm)?
  12. 12.From a rectangle 7 cm long and 11 cm wide, a rectangle 3 cm by 7 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 18 cm. What is its perimeter (in cm)?
  14. 14.The perimeter of a rectangle is 28 cm and its length is 12 cm. What is its width (in cm)?
  15. 15.A square has a perimeter of 32 cm. What is its area (in square cm)?
  16. 16.A rectangular field is 55 m long and 45 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.A square has a perimeter of 76 cm. What is its area (in square cm)?
  18. 18.A square has a perimeter of 16 cm. What is its area (in square cm)?
  19. 19.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.The perimeter of a rectangle is 62 cm and its length is 22 cm. What is its width (in cm)?
  21. 21.A rectangular field is 60 m long and 55 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.From a rectangle 16 cm long and 9 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)?
  23. 23.A square has a perimeter of 40 cm. What is its area (in square cm)?
  24. 24.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
  25. 25.The perimeter of a rectangle is 36 cm and its length is 15 cm. What is its width (in cm)?
  26. 26.From a rectangle 10 cm long and 8 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A wall is 8 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.A rectangular field is 75 m long and 60 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A square has a perimeter of 36 cm. What is its area (in square cm)?
  31. 31.From a rectangle 9 cm long and 14 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)?
  32. 32.The perimeter of a rectangle is 38 cm and its length is 12 cm. What is its width (in cm)?
  33. 33.The perimeter of a rectangle is 48 cm and its length is 17 cm. What is its width (in cm)?
  34. 34.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
  35. 35.From a rectangle 14 cm long and 11 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)?
  36. 36.A rectangular field is 90 m long and 55 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.From a rectangle 9 cm long and 9 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  39. 39.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
  40. 40.A wall is 3 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 4
  2. 80
  3. 1140
  4. 2160
  5. 550
  6. 700
  7. 225
  8. 80
  9. 65
  10. 1120
  11. 7
  12. 56
  13. 90
  14. 2
  15. 64
  16. 1800
  17. 361
  18. 16
  19. 1320
  20. 9
  21. 2760
  22. 142
  23. 100
  24. 70
  25. 3
  26. 75
  27. 3080
  28. 600
  29. 1350
  30. 81
  31. 108
  32. 7
  33. 7
  34. 24
  35. 110
  36. 6380
  37. 77
  38. 9
  39. 96
  40. 900

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