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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 306 · 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 94 cm and its length is 26 cm. What is its width (in cm)?
  2. 2.A wall is 4 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.A rectangular field is 80 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
  5. 5.A square has a perimeter of 48 cm. What is its area (in square cm)?
  6. 6.A wall is 4 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.From a rectangle 12 cm long and 12 cm wide, a rectangle 6 cm by 9 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 56 cm. What is its area (in square cm)?
  9. 9.A square has a perimeter of 24 cm. What is its area (in square cm)?
  10. 10.A square has a perimeter of 64 cm. What is its area (in square cm)?
  11. 11.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.A square has a perimeter of 20 cm. What is its area (in square cm)?
  13. 13.From a rectangle 17 cm long and 13 cm wide, a rectangle 8 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.A wall is 5 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.A rectangular field is 45 m long and 25 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A wall is 9 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.From a rectangle 10 cm long and 7 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.The perimeter of a rectangle is 30 cm and its length is 12 cm. What is its width (in cm)?
  19. 19.The perimeter of a rectangle is 22 cm and its length is 6 cm. What is its width (in cm)?
  20. 20.From a rectangle 13 cm long and 13 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)?
  21. 21.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  22. 22.A rectangular field is 85 m long and 35 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.The perimeter of a rectangle is 76 cm and its length is 28 cm. What is its width (in cm)?
  24. 24.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
  25. 25.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 ₹)?
  26. 26.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.A square has a perimeter of 28 cm. What is its area (in square cm)?
  28. 28.A wall is 12 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.A square has a perimeter of 36 cm. What is its area (in square cm)?
  30. 30.A square has a perimeter of 40 cm. What is its area (in square cm)?
  31. 31.Each side of a square is 3 cm. What is its perimeter (in cm)?
  32. 32.A rectangular field is 60 m long and 35 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A wall is 8 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.A wall is 3 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.From a rectangle 16 cm long and 6 cm wide, a rectangle 6 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.A wall is 6 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.From a rectangle 16 cm long and 7 cm wide, a rectangle 10 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.A wall is 3 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 21
  2. 600
  3. 1800
  4. 48
  5. 144
  6. 1200
  7. 90
  8. 196
  9. 36
  10. 256
  11. 2530
  12. 25
  13. 189
  14. 1000
  15. 2800
  16. 1440
  17. 61
  18. 3
  19. 5
  20. 133
  21. 9
  22. 3120
  23. 10
  24. 96
  25. 240
  26. 3150
  27. 49
  28. 1440
  29. 81
  30. 100
  31. 12
  32. 4180
  33. 1000
  34. 60
  35. 72
  36. 1870
  37. 420
  38. 1300
  39. 62
  40. 180

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