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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 333 · 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 8 cm. What is its area (in square cm)?
  2. 2.A wall is 12 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.The perimeter of a rectangle is 48 cm and its length is 18 cm. What is its width (in cm)?
  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.Each side of a square is 7 cm. What is its perimeter (in cm)?
  6. 6.From a rectangle 10 cm long and 11 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)?
  7. 7.Each side of a square is 15 cm. What is its perimeter (in cm)?
  8. 8.A wall is 5 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.A rectangular field is 100 m long and 20 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.A wall is 10 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.A wall is 10 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
  13. 13.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A wall is 12 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.A rectangular field is 60 m long and 50 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.From a rectangle 16 cm long and 11 cm wide, a rectangle 12 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
  18. 18.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
  19. 19.The perimeter of a rectangle is 28 cm and its length is 8 cm. What is its width (in cm)?
  20. 20.From a rectangle 19 cm long and 7 cm wide, a rectangle 13 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.From a rectangle 16 cm long and 6 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.A wall is 9 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.A square has a perimeter of 16 cm. What is its area (in square cm)?
  26. 26.A rectangular field is 90 m long and 20 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.A wall is 10 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?
  30. 30.A rectangular field is 50 m long and 40 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A rectangular field is 70 m long and 20 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.Each side of a square is 12 cm. What is its perimeter (in cm)?
  33. 33.From a rectangle 18 cm long and 14 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)?
  34. 34.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
  36. 36.The perimeter of a rectangle is 56 cm and its length is 15 cm. What is its width (in cm)?
  37. 37.A wall is 8 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.A rectangular field is 65 m long and 45 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.A rectangular field is 70 m long and 45 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.A rectangular field is 75 m long and 60 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 4
  2. 600
  3. 6
  4. 1200
  5. 28
  6. 101
  7. 60
  8. 375
  9. 3600
  10. 450
  11. 500
  12. 102
  13. 2550
  14. 900
  15. 5060
  16. 164
  17. 55
  18. 168
  19. 6
  20. 68
  21. 2070
  22. 84
  23. 405
  24. 1080
  25. 16
  26. 5500
  27. 400
  28. 2860
  29. 20
  30. 1440
  31. 4140
  32. 48
  33. 208
  34. 3300
  35. 54
  36. 13
  37. 1440
  38. 1760
  39. 1840
  40. 3510

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