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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 207 · 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 12 cm. What is its area (in square cm)?
  2. 2.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
  3. 3.A square has a perimeter of 68 cm. What is its area (in square cm)?
  4. 4.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
  5. 5.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
  6. 6.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
  8. 8.The perimeter of a rectangle is 64 cm and its length is 26 cm. What is its width (in cm)?
  9. 9.Each side of a square is 14 cm. What is its perimeter (in cm)?
  10. 10.From a rectangle 13 cm long and 15 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)?
  11. 11.A square has a perimeter of 52 cm. What is its area (in square cm)?
  12. 12.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
  13. 13.From a rectangle 18 cm long and 15 cm wide, a rectangle 12 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.The perimeter of a rectangle is 42 cm and its length is 18 cm. What is its width (in cm)?
  15. 15.The perimeter of a rectangle is 26 cm and its length is 11 cm. What is its width (in cm)?
  16. 16.A wall is 10 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.From a rectangle 13 cm long and 7 cm wide, a rectangle 9 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 25 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.The perimeter of a rectangle is 58 cm and its length is 17 cm. What is its width (in cm)?
  20. 20.The perimeter of a rectangle is 50 cm and its length is 13 cm. What is its width (in cm)?
  21. 21.A square has a perimeter of 64 cm. What is its area (in square cm)?
  22. 22.The perimeter of a rectangle is 42 cm and its length is 14 cm. What is its width (in cm)?
  23. 23.Each side of a regular pentagon is 19 cm. What is its perimeter (in cm)?
  24. 24.A square has a perimeter of 40 cm. What is its area (in square cm)?
  25. 25.From a rectangle 17 cm long and 10 cm wide, a rectangle 8 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.The perimeter of a rectangle is 84 cm and its length is 28 cm. What is its width (in cm)?
  28. 28.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
  29. 29.A wall is 8 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.Each side of a square is 3 cm. What is its perimeter (in cm)?
  31. 31.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.A wall is 3 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.A wall is 4 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.From a rectangle 10 cm long and 10 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)?
  36. 36.From a rectangle 13 cm long and 8 cm wide, a rectangle 9 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.A rectangular field is 85 m long and 25 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
  39. 39.A square has a perimeter of 80 cm. What is its area (in square cm)?
  40. 40.From a rectangle 13 cm long and 10 cm wide, a rectangle 4 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 9
  2. 27
  3. 289
  4. 64
  5. 18
  6. 1980
  7. 75
  8. 6
  9. 56
  10. 165
  11. 169
  12. 2
  13. 186
  14. 3
  15. 2
  16. 1000
  17. 55
  18. 1050
  19. 12
  20. 12
  21. 256
  22. 7
  23. 95
  24. 100
  25. 122
  26. 960
  27. 14
  28. 24
  29. 1800
  30. 12
  31. 1430
  32. 315
  33. 960
  34. 160
  35. 68
  36. 50
  37. 3960
  38. 54
  39. 400
  40. 98

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