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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 355 · 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.From a rectangle 20 cm long and 7 cm wide, a rectangle 8 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.The perimeter of a rectangle is 62 cm and its length is 23 cm. What is its width (in cm)?
  3. 3.A wall is 11 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.A square has a perimeter of 72 cm. What is its area (in square cm)?
  5. 5.A wall is 6 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.A square has a perimeter of 20 cm. What is its area (in square cm)?
  8. 8.Each side of a square is 25 cm. What is its perimeter (in cm)?
  9. 9.The perimeter of a rectangle is 54 cm and its length is 23 cm. What is its width (in cm)?
  10. 10.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 ₹)?
  11. 11.A wall is 3 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.The perimeter of a rectangle is 26 cm and its length is 7 cm. What is its width (in cm)?
  14. 14.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
  15. 15.A wall is 3 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
  17. 17.A rectangular field is 75 m long and 30 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.A square has a perimeter of 40 cm. What is its area (in square cm)?
  19. 19.A wall is 3 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.A rectangular field is 95 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
  22. 22.A wall is 3 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.A wall is 12 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.From a rectangle 7 cm long and 10 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.Each side of a square is 19 cm. What is its perimeter (in cm)?
  26. 26.A square has a perimeter of 76 cm. What is its area (in square cm)?
  27. 27.The perimeter of a rectangle is 56 cm and its length is 24 cm. What is its width (in cm)?
  28. 28.The perimeter of a rectangle is 80 cm and its length is 21 cm. What is its width (in cm)?
  29. 29.A wall is 8 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
  31. 31.Each side of a square is 24 cm. What is its perimeter (in cm)?
  32. 32.From a rectangle 11 cm long and 9 cm wide, a rectangle 7 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.The perimeter of a rectangle is 36 cm and its length is 12 cm. What is its width (in cm)?
  34. 34.From a rectangle 20 cm long and 11 cm wide, a rectangle 11 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
  36. 36.A rectangular field is 90 m long and 30 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
  38. 38.A wall is 9 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.From a rectangle 6 cm long and 10 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)?
  40. 40.A square has a perimeter of 80 cm. What is its area (in square cm)?

Answer key

  1. 108
  2. 8
  3. 880
  4. 324
  5. 180
  6. 1840
  7. 25
  8. 100
  9. 4
  10. 1950
  11. 450
  12. 1760
  13. 6
  14. 5
  15. 180
  16. 45
  17. 1470
  18. 100
  19. 900
  20. 1890
  21. 3
  22. 315
  23. 1200
  24. 54
  25. 76
  26. 361
  27. 4
  28. 19
  29. 1600
  30. 50
  31. 96
  32. 71
  33. 6
  34. 187
  35. 84
  36. 4080
  37. 75
  38. 1620
  39. 54
  40. 400

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