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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 522 · 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.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
  2. 2.From a rectangle 17 cm long and 12 cm wide, a rectangle 10 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  3. 3.A wall is 12 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.The perimeter of a rectangle is 48 cm and its length is 20 cm. What is its width (in cm)?
  5. 5.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?
  6. 6.A square has a perimeter of 36 cm. What is its area (in square cm)?
  7. 7.A wall is 9 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.From a rectangle 13 cm long and 11 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)?
  9. 9.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
  10. 10.A square has a perimeter of 32 cm. What is its area (in square cm)?
  11. 11.The perimeter of a rectangle is 54 cm and its length is 18 cm. What is its width (in cm)?
  12. 12.Each side of a square is 5 cm. What is its perimeter (in cm)?
  13. 13.From a rectangle 8 cm long and 15 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
  15. 15.The perimeter of a rectangle is 38 cm and its length is 15 cm. What is its width (in cm)?
  16. 16.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
  17. 17.A square has a perimeter of 48 cm. What is its area (in square cm)?
  18. 18.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.A rectangular field is 80 m long and 20 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.From a rectangle 19 cm long and 7 cm wide, a rectangle 14 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.A rectangular field is 80 m long and 50 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
  23. 23.Each side of a square is 9 cm. What is its perimeter (in cm)?
  24. 24.The perimeter of a rectangle is 78 cm and its length is 29 cm. What is its width (in cm)?
  25. 25.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
  26. 26.From a rectangle 8 cm long and 14 cm wide, a rectangle 3 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.The perimeter of a rectangle is 58 cm and its length is 24 cm. What is its width (in cm)?
  28. 28.A wall is 9 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
  30. 30.A square has a perimeter of 76 cm. What is its area (in square cm)?
  31. 31.A rectangular field is 70 m long and 60 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.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 ₹)?
  33. 33.A square has a perimeter of 56 cm. What is its area (in square cm)?
  34. 34.The perimeter of a rectangle is 22 cm and its length is 9 cm. What is its width (in cm)?
  35. 35.A square has a perimeter of 68 cm. What is its area (in square cm)?
  36. 36.A rectangular field is 70 m long and 60 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.A square has a perimeter of 8 cm. What is its area (in square cm)?
  38. 38.From a rectangle 13 cm long and 7 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.The perimeter of a rectangle is 22 cm and its length is 6 cm. What is its width (in cm)?
  40. 40.From a rectangle 15 cm long and 13 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. 80
  2. 184
  3. 2160
  4. 4
  5. 20
  6. 81
  7. 810
  8. 134
  9. 18
  10. 64
  11. 9
  12. 20
  13. 110
  14. 57
  15. 4
  16. 2
  17. 144
  18. 700
  19. 1000
  20. 105
  21. 6500
  22. 40
  23. 36
  24. 10
  25. 108
  26. 79
  27. 5
  28. 1620
  29. 6
  30. 361
  31. 3900
  32. 150
  33. 196
  34. 2
  35. 289
  36. 6500
  37. 4
  38. 85
  39. 5
  40. 163

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