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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 541 · 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.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
  2. 2.A square has a perimeter of 24 cm. What is its area (in square cm)?
  3. 3.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
  4. 4.A square has a perimeter of 56 cm. What is its area (in square cm)?
  5. 5.A rectangular field is 85 m long and 60 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.A wall is 6 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
  8. 8.A rectangular field is 80 m long and 45 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.A wall is 8 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.A rectangular field is 50 m long and 40 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.A square has a perimeter of 48 cm. What is its area (in square cm)?
  13. 13.A wall is 5 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.A wall is 5 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.A rectangular field is 45 m long and 20 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A wall is 9 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.From a rectangle 7 cm long and 15 cm wide, a rectangle 3 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.From a rectangle 9 cm long and 15 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.A rectangular field is 90 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A wall is 12 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.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 ₹)?
  22. 22.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.From a rectangle 11 cm long and 11 cm wide, a rectangle 4 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.A rectangular field is 60 m long and 50 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.A square has a perimeter of 8 cm. What is its area (in square cm)?
  26. 26.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
  27. 27.The perimeter of a rectangle is 46 cm and its length is 19 cm. What is its width (in cm)?
  28. 28.The perimeter of a rectangle is 26 cm and its length is 9 cm. What is its width (in cm)?
  29. 29.From a rectangle 17 cm long and 7 cm wide, a rectangle 8 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A rectangular field is 55 m long and 45 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.From a rectangle 12 cm long and 10 cm wide, a rectangle 6 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
  34. 34.A wall is 12 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.A rectangular field is 80 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.A wall is 7 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.A rectangular field is 60 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.A rectangular field is 95 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 63
  2. 36
  3. 18
  4. 196
  5. 6670
  6. 540
  7. 18
  8. 5250
  9. 240
  10. 770
  11. 900
  12. 144
  13. 400
  14. 400
  15. 1950
  16. 630
  17. 81
  18. 120
  19. 3150
  20. 720
  21. 180
  22. 2160
  23. 93
  24. 1980
  25. 4
  26. 51
  27. 4
  28. 4
  29. 111
  30. 350
  31. 2600
  32. 84
  33. 57
  34. 2880
  35. 1620
  36. 2400
  37. 280
  38. 980
  39. 1050
  40. 450

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