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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 167 · 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 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.The perimeter of a rectangle is 64 cm and its length is 18 cm. What is its width (in cm)?
  3. 3.A square has a perimeter of 52 cm. What is its area (in square cm)?
  4. 4.A wall is 5 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.A rectangular field is 80 m long and 25 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.The perimeter of a rectangle is 70 cm and its length is 26 cm. What is its width (in cm)?
  7. 7.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
  8. 8.A wall is 11 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.The perimeter of a rectangle is 46 cm and its length is 21 cm. What is its width (in cm)?
  10. 10.A rectangular field is 100 m long and 35 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.A square has a perimeter of 20 cm. What is its area (in square cm)?
  12. 12.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
  13. 13.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
  14. 14.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.A square has a perimeter of 40 cm. What is its area (in square cm)?
  16. 16.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  17. 17.From a rectangle 10 cm long and 7 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.A rectangular field is 100 m long and 35 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.The perimeter of a rectangle is 52 cm and its length is 17 cm. What is its width (in cm)?
  20. 20.A wall is 9 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.A wall is 7 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A wall is 8 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.A square has a perimeter of 28 cm. What is its area (in square cm)?
  24. 24.A wall is 7 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.The perimeter of a rectangle is 32 cm and its length is 9 cm. What is its width (in cm)?
  26. 26.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
  27. 27.From a rectangle 13 cm long and 5 cm wide, a rectangle 11 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.A square has a perimeter of 76 cm. What is its area (in square cm)?
  29. 29.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A wall is 5 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
  32. 32.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A wall is 6 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
  35. 35.The perimeter of a rectangle is 54 cm and its length is 15 cm. What is its width (in cm)?
  36. 36.From a rectangle 19 cm long and 15 cm wide, a rectangle 16 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
  38. 38.A square has a perimeter of 64 cm. What is its area (in square cm)?
  39. 39.A wall is 12 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 1080
  2. 14
  3. 169
  4. 675
  5. 3780
  6. 9
  7. 10
  8. 1320
  9. 2
  10. 4860
  11. 25
  12. 108
  13. 84
  14. 4180
  15. 100
  16. 36
  17. 64
  18. 4050
  19. 9
  20. 900
  21. 1575
  22. 1280
  23. 49
  24. 490
  25. 7
  26. 72
  27. 54
  28. 361
  29. 1210
  30. 300
  31. 69
  32. 3800
  33. 300
  34. 112
  35. 12
  36. 157
  37. 168
  38. 256
  39. 1080
  40. 2300

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