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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 385 · 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 48 cm. What is its area (in square cm)?
  2. 2.A rectangular field is 70 m long and 60 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.From a rectangle 15 cm long and 10 cm wide, a rectangle 5 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.The perimeter of a rectangle is 50 cm and its length is 23 cm. What is its width (in cm)?
  5. 5.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
  6. 6.A wall is 5 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.A square has a perimeter of 20 cm. What is its area (in square cm)?
  8. 8.A rectangular field is 80 m long and 70 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
  10. 10.A square has a perimeter of 72 cm. What is its area (in square cm)?
  11. 11.The perimeter of a rectangle is 64 cm and its length is 22 cm. What is its width (in cm)?
  12. 12.A rectangular field is 60 m long and 55 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A rectangular field is 85 m long and 55 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.The perimeter of a rectangle is 62 cm and its length is 23 cm. What is its width (in cm)?
  15. 15.A wall is 6 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
  17. 17.The perimeter of a rectangle is 38 cm and its length is 15 cm. What is its width (in cm)?
  18. 18.The perimeter of a rectangle is 78 cm and its length is 27 cm. What is its width (in cm)?
  19. 19.Each side of a square is 3 cm. What is its perimeter (in cm)?
  20. 20.From a rectangle 6 cm long and 14 cm wide, a rectangle 1 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.A square has a perimeter of 12 cm. What is its area (in square cm)?
  22. 22.The perimeter of a rectangle is 32 cm and its length is 11 cm. What is its width (in cm)?
  23. 23.A square has a perimeter of 80 cm. What is its area (in square cm)?
  24. 24.A square has a perimeter of 16 cm. What is its area (in square cm)?
  25. 25.From a rectangle 19 cm long and 14 cm wide, a rectangle 15 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.From a rectangle 7 cm long and 13 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 64 cm and its length is 25 cm. What is its width (in cm)?
  28. 28.A wall is 5 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.Each side of a regular octagon is 17 cm. What is its perimeter (in cm)?
  30. 30.A wall is 6 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  32. 32.Each side of a square is 13 cm. What is its perimeter (in cm)?
  33. 33.From a rectangle 7 cm long and 8 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)?
  34. 34.From a rectangle 14 cm long and 14 cm wide, a rectangle 8 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.From a rectangle 15 cm long and 5 cm wide, a rectangle 11 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.A wall is 9 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
  38. 38.A wall is 8 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.The perimeter of a rectangle is 38 cm and its length is 12 cm. What is its width (in cm)?
  40. 40.From a rectangle 6 cm long and 6 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)?

Answer key

  1. 144
  2. 1560
  3. 115
  4. 2
  5. 70
  6. 300
  7. 25
  8. 6900
  9. 10
  10. 324
  11. 10
  12. 3910
  13. 2800
  14. 8
  15. 1260
  16. 60
  17. 4
  18. 12
  19. 12
  20. 72
  21. 9
  22. 5
  23. 400
  24. 16
  25. 86
  26. 58
  27. 7
  28. 750
  29. 136
  30. 240
  31. 2
  32. 52
  33. 54
  34. 124
  35. 53
  36. 1620
  37. 57
  38. 400
  39. 7
  40. 32

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