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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 534 · 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 square is 17 cm. What is its perimeter (in cm)?
  2. 2.A wall is 11 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.The perimeter of a rectangle is 28 cm and its length is 8 cm. What is its width (in cm)?
  4. 4.From a rectangle 7 cm long and 15 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  5. 5.A square has a perimeter of 12 cm. What is its area (in square cm)?
  6. 6.A wall is 6 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
  8. 8.A square has a perimeter of 72 cm. What is its area (in square cm)?
  9. 9.The perimeter of a rectangle is 48 cm and its length is 19 cm. What is its width (in cm)?
  10. 10.A rectangular field is 60 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.A square has a perimeter of 76 cm. What is its area (in square cm)?
  12. 12.The perimeter of a rectangle is 48 cm and its length is 13 cm. What is its width (in cm)?
  13. 13.The perimeter of a rectangle is 44 cm and its length is 17 cm. What is its width (in cm)?
  14. 14.A wall is 6 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
  16. 16.A square has a perimeter of 24 cm. What is its area (in square cm)?
  17. 17.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
  18. 18.The perimeter of a rectangle is 48 cm and its length is 18 cm. What is its width (in cm)?
  19. 19.The perimeter of a rectangle is 58 cm and its length is 19 cm. What is its width (in cm)?
  20. 20.The perimeter of a rectangle is 90 cm and its length is 24 cm. What is its width (in cm)?
  21. 21.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
  22. 22.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
  23. 23.From a rectangle 9 cm long and 13 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.A wall is 12 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.A wall is 10 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
  27. 27.From a rectangle 12 cm long and 10 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.A rectangular field is 60 m long and 30 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.The perimeter of a rectangle is 30 cm and its length is 8 cm. What is its width (in cm)?
  30. 30.A rectangular field is 95 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A wall is 5 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.A wall is 4 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.A square has a perimeter of 28 cm. What is its area (in square cm)?
  34. 34.A rectangular field is 100 m long and 70 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
  36. 36.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
  37. 37.A rectangular field is 50 m long and 30 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.From a rectangle 12 cm long and 6 cm wide, a rectangle 1 cm by 3 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 50 cm and its length is 13 cm. What is its width (in cm)?
  40. 40.Each side of a square is 13 cm. What is its perimeter (in cm)?

Answer key

  1. 68
  2. 2200
  3. 6
  4. 97
  5. 9
  6. 720
  7. 18
  8. 324
  9. 5
  10. 1530
  11. 361
  12. 11
  13. 5
  14. 180
  15. 125
  16. 36
  17. 104
  18. 6
  19. 10
  20. 21
  21. 30
  22. 3
  23. 109
  24. 240
  25. 800
  26. 3
  27. 116
  28. 3960
  29. 7
  30. 2730
  31. 1350
  32. 480
  33. 49
  34. 7480
  35. 80
  36. 60
  37. 2720
  38. 69
  39. 12
  40. 52

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