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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 66 · 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 rectangular field is 45 m long and 40 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.A square has a perimeter of 16 cm. What is its area (in square cm)?
  3. 3.From a rectangle 9 cm long and 5 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.The perimeter of a rectangle is 82 cm and its length is 27 cm. What is its width (in cm)?
  5. 5.A wall is 10 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
  7. 7.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 ₹)?
  8. 8.A wall is 10 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.A rectangular field is 45 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.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 ₹)?
  11. 11.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
  12. 12.A square has a perimeter of 56 cm. What is its area (in square cm)?
  13. 13.A rectangular field is 50 m long and 20 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
  15. 15.A square has a perimeter of 64 cm. What is its area (in square cm)?
  16. 16.A rectangular field is 85 m long and 35 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.The perimeter of a rectangle is 82 cm and its length is 22 cm. What is its width (in cm)?
  18. 18.A wall is 6 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.Each side of a square is 18 cm. What is its perimeter (in cm)?
  20. 20.From a rectangle 12 cm long and 9 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)?
  21. 21.A wall is 7 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.The perimeter of a rectangle is 22 cm and its length is 9 cm. What is its width (in cm)?
  23. 23.A rectangular field is 90 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.From a rectangle 8 cm long and 5 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.A wall is 3 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.A rectangular field is 80 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.The perimeter of a rectangle is 78 cm and its length is 24 cm. What is its width (in cm)?
  28. 28.From a rectangle 9 cm long and 7 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A rectangular field is 85 m long and 45 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A rectangular field is 65 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.A wall is 7 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  34. 34.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
  35. 35.A wall is 12 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.A wall is 8 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
  38. 38.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
  39. 39.A square has a perimeter of 76 cm. What is its area (in square cm)?
  40. 40.A square has a perimeter of 72 cm. What is its area (in square cm)?

Answer key

  1. 1530
  2. 16
  3. 33
  4. 14
  5. 400
  6. 10
  7. 540
  8. 900
  9. 3120
  10. 1440
  11. 45
  12. 196
  13. 1400
  14. 70
  15. 256
  16. 5040
  17. 19
  18. 1350
  19. 72
  20. 87
  21. 1400
  22. 2
  23. 4620
  24. 35
  25. 540
  26. 3780
  27. 15
  28. 53
  29. 540
  30. 3380
  31. 960
  32. 630
  33. 12
  34. 72
  35. 3000
  36. 1440
  37. 48
  38. 57
  39. 361
  40. 324

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