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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 153 · 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 98 cm and its length is 28 cm. What is its width (in cm)?
  2. 2.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
  3. 3.The perimeter of a rectangle is 34 cm and its length is 9 cm. What is its width (in cm)?
  4. 4.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
  5. 5.Each side of a square is 25 cm. What is its perimeter (in cm)?
  6. 6.The perimeter of a rectangle is 34 cm and its length is 15 cm. What is its width (in cm)?
  7. 7.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
  8. 8.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
  9. 9.From a rectangle 6 cm long and 8 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.A rectangular field is 45 m long and 25 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.From a rectangle 20 cm long and 10 cm wide, a rectangle 16 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.A square has a perimeter of 80 cm. What is its area (in square cm)?
  13. 13.A wall is 8 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.From a rectangle 16 cm long and 9 cm wide, a rectangle 2 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  15. 15.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A square has a perimeter of 68 cm. What is its area (in square cm)?
  17. 17.A square has a perimeter of 24 cm. What is its area (in square cm)?
  18. 18.A square has a perimeter of 52 cm. What is its area (in square cm)?
  19. 19.From a rectangle 12 cm long and 12 cm wide, a rectangle 2 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
  21. 21.A wall is 12 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.From a rectangle 11 cm long and 7 cm wide, a rectangle 4 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A wall is 10 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
  26. 26.From a rectangle 8 cm long and 12 cm wide, a rectangle 3 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.From a rectangle 8 cm long and 11 cm wide, a rectangle 4 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.A square has a perimeter of 16 cm. What is its area (in square cm)?
  29. 29.A rectangular field is 65 m long and 35 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
  31. 31.A square has a perimeter of 36 cm. What is its area (in square cm)?
  32. 32.The perimeter of a rectangle is 56 cm and its length is 25 cm. What is its width (in cm)?
  33. 33.From a rectangle 15 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)?
  34. 34.A wall is 11 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.A rectangular field is 80 m long and 65 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.The perimeter of a rectangle is 56 cm and its length is 24 cm. What is its width (in cm)?
  37. 37.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
  39. 39.From a rectangle 12 cm long and 7 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.A square has a perimeter of 20 cm. What is its area (in square cm)?

Answer key

  1. 21
  2. 168
  3. 8
  4. 35
  5. 100
  6. 2
  7. 50
  8. 120
  9. 42
  10. 1820
  11. 104
  12. 400
  13. 1920
  14. 132
  15. 1610
  16. 289
  17. 36
  18. 169
  19. 124
  20. 75
  21. 600
  22. 57
  23. 1600
  24. 1000
  25. 45
  26. 66
  27. 52
  28. 16
  29. 2600
  30. 2
  31. 81
  32. 3
  33. 131
  34. 660
  35. 2320
  36. 4
  37. 1750
  38. 30
  39. 72
  40. 25

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