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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 685 · 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 72 cm. What is its area (in square cm)?
  2. 2.The perimeter of a rectangle is 28 cm and its length is 12 cm. What is its width (in cm)?
  3. 3.The perimeter of a rectangle is 38 cm and its length is 16 cm. What is its width (in cm)?
  4. 4.Each side of a square is 25 cm. What is its perimeter (in cm)?
  5. 5.The perimeter of a rectangle is 58 cm and its length is 15 cm. What is its width (in cm)?
  6. 6.Each side of a square is 10 cm. What is its perimeter (in cm)?
  7. 7.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  8. 8.The perimeter of a rectangle is 92 cm and its length is 29 cm. What is its width (in cm)?
  9. 9.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
  10. 10.The perimeter of a rectangle is 52 cm and its length is 24 cm. What is its width (in cm)?
  11. 11.A wall is 11 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A wall is 4 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.A square has a perimeter of 44 cm. What is its area (in square cm)?
  14. 14.The perimeter of a rectangle is 34 cm and its length is 13 cm. What is its width (in cm)?
  15. 15.A wall is 12 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.From a rectangle 16 cm long and 5 cm wide, a rectangle 11 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.A square has a perimeter of 8 cm. What is its area (in square cm)?
  18. 18.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 ₹)?
  19. 19.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
  20. 20.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 ₹)?
  21. 21.The perimeter of a rectangle is 28 cm and its length is 11 cm. What is its width (in cm)?
  22. 22.From a rectangle 9 cm long and 5 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)?
  23. 23.A wall is 8 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.A rectangular field is 80 m long and 65 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
  27. 27.The perimeter of a rectangle is 26 cm and its length is 7 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.A rectangular field is 50 m long and 25 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.From a rectangle 9 cm long and 14 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)?
  31. 31.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  32. 32.The perimeter of a rectangle is 62 cm and its length is 17 cm. What is its width (in cm)?
  33. 33.A square has a perimeter of 52 cm. What is its area (in square cm)?
  34. 34.A rectangular field is 85 m long and 70 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.A square has a perimeter of 64 cm. What is its area (in square cm)?
  36. 36.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  37. 37.A square has a perimeter of 40 cm. What is its area (in square cm)?
  38. 38.From a rectangle 10 cm long and 12 cm wide, a rectangle 3 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?

Answer key

  1. 324
  2. 2
  3. 3
  4. 100
  5. 14
  6. 40
  7. 2
  8. 17
  9. 18
  10. 2
  11. 1100
  12. 800
  13. 121
  14. 4
  15. 840
  16. 47
  17. 4
  18. 315
  19. 104
  20. 1620
  21. 3
  22. 37
  23. 560
  24. 4060
  25. 1400
  26. 54
  27. 6
  28. 750
  29. 3300
  30. 123
  31. 21
  32. 14
  33. 169
  34. 5890
  35. 256
  36. 12
  37. 100
  38. 99
  39. 840
  40. 192

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