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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 93 · 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 70 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.A wall is 11 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
  4. 4.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
  5. 5.The perimeter of a rectangle is 22 cm and its length is 6 cm. What is its width (in cm)?
  6. 6.Each side of a square is 8 cm. What is its perimeter (in cm)?
  7. 7.From a rectangle 19 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)?
  8. 8.From a rectangle 10 cm long and 15 cm wide, a rectangle 7 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  9. 9.A square has a perimeter of 40 cm. What is its area (in square cm)?
  10. 10.Each side of a square is 23 cm. What is its perimeter (in cm)?
  11. 11.A wall is 10 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A square has a perimeter of 64 cm. What is its area (in square cm)?
  13. 13.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
  15. 15.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
  16. 16.From a rectangle 9 cm long and 9 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)?
  17. 17.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 ₹)?
  18. 18.A wall is 5 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
  20. 20.Each side of a regular pentagon is 17 cm. What is its perimeter (in cm)?
  21. 21.A wall is 5 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A square has a perimeter of 16 cm. What is its area (in square cm)?
  23. 23.The perimeter of a rectangle is 54 cm and its length is 25 cm. What is its width (in cm)?
  24. 24.A wall is 7 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.A square has a perimeter of 72 cm. What is its area (in square cm)?
  26. 26.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
  27. 27.The perimeter of a rectangle is 18 cm and its length is 7 cm. What is its width (in cm)?
  28. 28.A rectangular field is 95 m long and 45 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.Each side of a regular octagon is 15 cm. What is its perimeter (in cm)?
  30. 30.A square has a perimeter of 56 cm. What is its area (in square cm)?
  31. 31.From a rectangle 9 cm long and 11 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.A rectangular field is 65 m long and 20 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.A rectangular field is 70 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.Each side of a square is 12 cm. What is its perimeter (in cm)?
  38. 38.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
  39. 39.A square has a perimeter of 48 cm. What is its area (in square cm)?
  40. 40.A square has a perimeter of 24 cm. What is its area (in square cm)?

Answer key

  1. 1280
  2. 1375
  3. 55
  4. 125
  5. 5
  6. 32
  7. 87
  8. 101
  9. 100
  10. 92
  11. 1050
  12. 256
  13. 960
  14. 54
  15. 120
  16. 76
  17. 550
  18. 450
  19. 2
  20. 85
  21. 675
  22. 16
  23. 2
  24. 1050
  25. 324
  26. 45
  27. 2
  28. 2520
  29. 120
  30. 196
  31. 97
  32. 2040
  33. 1540
  34. 3250
  35. 1950
  36. 3910
  37. 48
  38. 30
  39. 144
  40. 36

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