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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 610 · 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.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  2. 2.From a rectangle 19 cm long and 11 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)?
  3. 3.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  4. 4.A square has a perimeter of 60 cm. What is its area (in square cm)?
  5. 5.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
  6. 6.Each side of a regular pentagon is 19 cm. What is its perimeter (in cm)?
  7. 7.A square has a perimeter of 68 cm. What is its area (in square cm)?
  8. 8.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
  9. 9.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
  10. 10.A rectangular field is 75 m long and 45 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.A square has a perimeter of 40 cm. What is its area (in square cm)?
  13. 13.A wall is 3 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.Each side of a square is 3 cm. What is its perimeter (in cm)?
  15. 15.A wall is 4 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.A square has a perimeter of 80 cm. What is its area (in square cm)?
  18. 18.The perimeter of a rectangle is 26 cm and its length is 9 cm. What is its width (in cm)?
  19. 19.A rectangular field is 90 m long and 60 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.From a rectangle 7 cm long and 11 cm wide, a rectangle 5 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
  22. 22.A rectangular field is 100 m long and 80 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.The perimeter of a rectangle is 56 cm and its length is 26 cm. What is its width (in cm)?
  24. 24.A rectangular field is 75 m long and 25 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.A wall is 10 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.The perimeter of a rectangle is 30 cm and its length is 8 cm. What is its width (in cm)?
  27. 27.The perimeter of a rectangle is 96 cm and its length is 26 cm. What is its width (in cm)?
  28. 28.A rectangular field is 70 m long and 20 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.From a rectangle 20 cm long and 12 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)?
  30. 30.The perimeter of a rectangle is 64 cm and its length is 25 cm. What is its width (in cm)?
  31. 31.A square has a perimeter of 44 cm. What is its area (in square cm)?
  32. 32.Each side of a regular pentagon is 18 cm. What is its perimeter (in cm)?
  33. 33.A wall is 11 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.From a rectangle 8 cm long and 14 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.A square has a perimeter of 56 cm. What is its area (in square cm)?
  36. 36.Each side of a square is 23 cm. What is its perimeter (in cm)?
  37. 37.Each side of a square is 24 cm. What is its perimeter (in cm)?
  38. 38.A square has a perimeter of 28 cm. What is its area (in square cm)?
  39. 39.A wall is 5 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?

Answer key

  1. 2
  2. 160
  3. 21
  4. 225
  5. 3
  6. 95
  7. 289
  8. 36
  9. 18
  10. 3840
  11. 720
  12. 100
  13. 90
  14. 12
  15. 320
  16. 1320
  17. 400
  18. 4
  19. 2700
  20. 47
  21. 176
  22. 2160
  23. 2
  24. 1600
  25. 1750
  26. 7
  27. 22
  28. 4140
  29. 191
  30. 7
  31. 121
  32. 90
  33. 1100
  34. 103
  35. 196
  36. 92
  37. 96
  38. 49
  39. 150
  40. 24

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