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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 193 · 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 35 m long and 20 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
  3. 3.A wall is 5 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.A square has a perimeter of 16 cm. What is its area (in square cm)?
  6. 6.The perimeter of a rectangle is 68 cm and its length is 20 cm. What is its width (in cm)?
  7. 7.A wall is 3 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.The perimeter of a rectangle is 34 cm and its length is 10 cm. What is its width (in cm)?
  9. 9.A square has a perimeter of 12 cm. What is its area (in square cm)?
  10. 10.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
  11. 11.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 ₹)?
  12. 12.From a rectangle 7 cm long and 14 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  13. 13.A square has a perimeter of 24 cm. What is its area (in square cm)?
  14. 14.From a rectangle 10 cm long and 15 cm wide, a rectangle 1 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  15. 15.A wall is 4 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  17. 17.A square has a perimeter of 56 cm. What is its area (in square cm)?
  18. 18.A wall is 5 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.A wall is 4 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.A square has a perimeter of 76 cm. What is its area (in square cm)?
  21. 21.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
  22. 22.From a rectangle 6 cm long and 9 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.Each side of a regular octagon is 23 cm. What is its perimeter (in cm)?
  24. 24.Each side of a regular octagon is 25 cm. What is its perimeter (in cm)?
  25. 25.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  26. 26.A wall is 9 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.The perimeter of a rectangle is 72 cm and its length is 23 cm. What is its width (in cm)?
  28. 28.The perimeter of a rectangle is 28 cm and its length is 9 cm. What is its width (in cm)?
  29. 29.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A rectangular field is 55 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.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 ₹)?
  32. 32.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
  33. 33.A square has a perimeter of 64 cm. What is its area (in square cm)?
  34. 34.From a rectangle 14 cm long and 12 cm wide, a rectangle 4 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.From a rectangle 19 cm long and 11 cm wide, a rectangle 8 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.A wall is 4 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.The perimeter of a rectangle is 66 cm and its length is 28 cm. What is its width (in cm)?
  39. 39.A wall is 11 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.A square has a perimeter of 68 cm. What is its area (in square cm)?

Answer key

  1. 2200
  2. 75
  3. 375
  4. 800
  5. 16
  6. 14
  7. 225
  8. 7
  9. 9
  10. 24
  11. 1320
  12. 73
  13. 36
  14. 143
  15. 200
  16. 25
  17. 196
  18. 300
  19. 300
  20. 361
  21. 30
  22. 52
  23. 184
  24. 200
  25. 9
  26. 270
  27. 13
  28. 5
  29. 480
  30. 1120
  31. 1440
  32. 16
  33. 256
  34. 128
  35. 153
  36. 1050
  37. 240
  38. 5
  39. 550
  40. 289

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