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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 261 · 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 wall is 4 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.A square has a perimeter of 64 cm. What is its area (in square cm)?
  3. 3.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.A square has a perimeter of 40 cm. What is its area (in square cm)?
  6. 6.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
  7. 7.A rectangular field is 100 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.Each side of a square is 14 cm. What is its perimeter (in cm)?
  9. 9.A wall is 6 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.A square has a perimeter of 24 cm. What is its area (in square cm)?
  11. 11.A wall is 3 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.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 ₹)?
  13. 13.A square has a perimeter of 52 cm. What is its area (in square cm)?
  14. 14.From a rectangle 9 cm long and 13 cm wide, a rectangle 7 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  15. 15.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A rectangular field is 65 m long and 25 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.A wall is 3 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.A wall is 3 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.A square has a perimeter of 72 cm. What is its area (in square cm)?
  20. 20.A square has a perimeter of 20 cm. What is its area (in square cm)?
  21. 21.From a rectangle 15 cm long and 12 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.From a rectangle 15 cm long and 7 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.Each side of a square is 6 cm. What is its perimeter (in cm)?
  24. 24.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 ₹)?
  25. 25.A rectangular field is 75 m long and 70 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.A square has a perimeter of 8 cm. What is its area (in square cm)?
  27. 27.A wall is 7 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.A rectangular field is 60 m long and 30 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A wall is 12 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.A square has a perimeter of 36 cm. What is its area (in square cm)?
  31. 31.A rectangular field is 80 m long and 55 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.A wall is 3 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.The perimeter of a rectangle is 62 cm and its length is 24 cm. What is its width (in cm)?
  35. 35.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.A square has a perimeter of 56 cm. What is its area (in square cm)?
  37. 37.A wall is 6 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
  39. 39.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
  40. 40.A square has a perimeter of 16 cm. What is its area (in square cm)?

Answer key

  1. 180
  2. 256
  3. 2200
  4. 1200
  5. 100
  6. 115
  7. 5760
  8. 56
  9. 360
  10. 36
  11. 720
  12. 240
  13. 169
  14. 89
  15. 2520
  16. 3060
  17. 150
  18. 180
  19. 324
  20. 25
  21. 165
  22. 90
  23. 24
  24. 360
  25. 2900
  26. 4
  27. 1750
  28. 1440
  29. 1800
  30. 81
  31. 1890
  32. 90
  33. 630
  34. 7
  35. 560
  36. 196
  37. 720
  38. 32
  39. 112
  40. 16

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