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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 116 · 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 a regular pentagon is 18 cm. What is its perimeter (in cm)?
  2. 2.A rectangular field is 85 m long and 10 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.The perimeter of a rectangle is 28 cm and its length is 11 cm. What is its width (in cm)?
  5. 5.The perimeter of a rectangle is 50 cm and its length is 20 cm. What is its width (in cm)?
  6. 6.A square has a perimeter of 28 cm. What is its area (in square cm)?
  7. 7.A rectangular field is 95 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.A square has a perimeter of 16 cm. What is its area (in square cm)?
  9. 9.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.A wall is 10 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.Each side of a regular pentagon is 20 cm. What is its perimeter (in cm)?
  12. 12.Each side of a square is 6 cm. What is its perimeter (in cm)?
  13. 13.A rectangular field is 95 m long and 50 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A square has a perimeter of 80 cm. What is its area (in square cm)?
  15. 15.A square has a perimeter of 48 cm. What is its area (in square cm)?
  16. 16.A wall is 12 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A square has a perimeter of 64 cm. What is its area (in square cm)?
  18. 18.A square has a perimeter of 72 cm. What is its area (in square cm)?
  19. 19.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
  20. 20.The perimeter of a rectangle is 68 cm and its length is 29 cm. What is its width (in cm)?
  21. 21.A wall is 9 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
  23. 23.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
  25. 25.From a rectangle 7 cm long and 9 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.A wall is 5 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.A rectangular field is 70 m long and 55 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.The perimeter of a rectangle is 34 cm and its length is 15 cm. What is its width (in cm)?
  29. 29.Each side of an equilateral triangle is 10 cm. What is its perimeter (in cm)?
  30. 30.A square has a perimeter of 60 cm. What is its area (in square cm)?
  31. 31.The perimeter of a rectangle is 64 cm and its length is 18 cm. What is its width (in cm)?
  32. 32.A wall is 5 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.A wall is 6 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.A rectangular field is 70 m long and 35 m wide. Fencing costs ₹16 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.The perimeter of a rectangle is 46 cm and its length is 17 cm. What is its width (in cm)?
  38. 38.A rectangular field is 65 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
  40. 40.A rectangular field is 50 m long and 40 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 90
  2. 3040
  3. 1530
  4. 3
  5. 5
  6. 49
  7. 4840
  8. 16
  9. 2420
  10. 600
  11. 100
  12. 24
  13. 5510
  14. 400
  15. 144
  16. 360
  17. 256
  18. 324
  19. 60
  20. 5
  21. 1890
  22. 55
  23. 2880
  24. 88
  25. 60
  26. 150
  27. 5500
  28. 2
  29. 30
  30. 225
  31. 14
  32. 900
  33. 1200
  34. 1020
  35. 3360
  36. 196
  37. 6
  38. 2100
  39. 48
  40. 2340

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