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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 440 · 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 52 cm and its length is 23 cm. What is its width (in cm)?
  2. 2.The perimeter of a rectangle is 52 cm and its length is 15 cm. What is its width (in cm)?
  3. 3.Each side of a square is 3 cm. What is its perimeter (in cm)?
  4. 4.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
  5. 5.A square has a perimeter of 8 cm. What is its area (in square cm)?
  6. 6.A rectangular field is 65 m long and 35 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.From a rectangle 18 cm long and 9 cm wide, a rectangle 11 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.A square has a perimeter of 76 cm. What is its area (in square cm)?
  9. 9.From a rectangle 19 cm long and 12 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.Each side of a square is 25 cm. What is its perimeter (in cm)?
  11. 11.From a rectangle 12 cm long and 15 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
  13. 13.Each side of a regular pentagon is 17 cm. What is its perimeter (in cm)?
  14. 14.A square has a perimeter of 80 cm. What is its area (in square cm)?
  15. 15.From a rectangle 9 cm long and 7 cm wide, a rectangle 2 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.From a rectangle 19 cm long and 5 cm wide, a rectangle 9 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.A wall is 10 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
  19. 19.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A wall is 8 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.A square has a perimeter of 36 cm. What is its area (in square cm)?
  22. 22.A wall is 4 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.A square has a perimeter of 68 cm. What is its area (in square cm)?
  24. 24.A wall is 10 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
  26. 26.The perimeter of a rectangle is 48 cm and its length is 19 cm. What is its width (in cm)?
  27. 27.A rectangular field is 90 m long and 55 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A square has a perimeter of 12 cm. What is its area (in square cm)?
  29. 29.A wall is 7 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.Each side of a square is 21 cm. What is its perimeter (in cm)?
  31. 31.The perimeter of a rectangle is 52 cm and its length is 16 cm. What is its width (in cm)?
  32. 32.The perimeter of a rectangle is 90 cm and its length is 30 cm. What is its width (in cm)?
  33. 33.The perimeter of a rectangle is 28 cm and its length is 11 cm. What is its width (in cm)?
  34. 34.From a rectangle 12 cm long and 11 cm wide, a rectangle 5 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.From a rectangle 12 cm long and 7 cm wide, a rectangle 7 cm by 3 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 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.A rectangular field is 90 m long and 55 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.The perimeter of a rectangle is 96 cm and its length is 27 cm. What is its width (in cm)?
  39. 39.Each side of a square is 24 cm. What is its perimeter (in cm)?
  40. 40.A wall is 3 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 3
  2. 11
  3. 12
  4. 30
  5. 4
  6. 4000
  7. 118
  8. 361
  9. 222
  10. 100
  11. 178
  12. 32
  13. 85
  14. 400
  15. 53
  16. 68
  17. 1200
  18. 60
  19. 2040
  20. 360
  21. 81
  22. 360
  23. 289
  24. 800
  25. 63
  26. 5
  27. 2610
  28. 9
  29. 1050
  30. 84
  31. 10
  32. 15
  33. 3
  34. 112
  35. 63
  36. 1080
  37. 7250
  38. 21
  39. 96
  40. 600

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