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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 160 · 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 9 cm long and 13 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.A square has a perimeter of 24 cm. What is its area (in square cm)?
  3. 3.A wall is 9 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.From a rectangle 13 cm long and 11 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  5. 5.The perimeter of a rectangle is 84 cm and its length is 27 cm. What is its width (in cm)?
  6. 6.A rectangular field is 70 m long and 60 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.A rectangular field is 60 m long and 30 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.The perimeter of a rectangle is 78 cm and its length is 20 cm. What is its width (in cm)?
  9. 9.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  10. 10.A square has a perimeter of 28 cm. What is its area (in square cm)?
  11. 11.A square has a perimeter of 44 cm. What is its area (in square cm)?
  12. 12.The perimeter of a rectangle is 28 cm and its length is 9 cm. What is its width (in cm)?
  13. 13.A rectangular field is 95 m long and 10 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A rectangular field is 80 m long and 60 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.Each side of a square is 23 cm. What is its perimeter (in cm)?
  16. 16.The perimeter of a rectangle is 30 cm and its length is 9 cm. What is its width (in cm)?
  17. 17.A rectangular field is 85 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.A wall is 5 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.The perimeter of a rectangle is 102 cm and its length is 27 cm. What is its width (in cm)?
  20. 20.A rectangular field is 55 m long and 50 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A wall is 4 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A wall is 10 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.A square has a perimeter of 76 cm. What is its area (in square cm)?
  24. 24.From a rectangle 10 cm long and 5 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)?
  25. 25.A rectangular field is 100 m long and 10 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.The perimeter of a rectangle is 52 cm and its length is 15 cm. What is its width (in cm)?
  27. 27.A square has a perimeter of 52 cm. What is its area (in square cm)?
  28. 28.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A wall is 7 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?
  31. 31.The perimeter of a rectangle is 26 cm and its length is 8 cm. What is its width (in cm)?
  32. 32.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 ₹)?
  33. 33.From a rectangle 16 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)?
  34. 34.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 ₹)?
  35. 35.From a rectangle 6 cm long and 14 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  37. 37.From a rectangle 14 cm long and 5 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.Each side of a square is 2 cm. What is its perimeter (in cm)?
  39. 39.A wall is 3 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.A square has a perimeter of 56 cm. What is its area (in square cm)?

Answer key

  1. 105
  2. 36
  3. 1575
  4. 140
  5. 15
  6. 3380
  7. 3420
  8. 19
  9. 42
  10. 49
  11. 121
  12. 5
  13. 5040
  14. 4760
  15. 92
  16. 6
  17. 1600
  18. 450
  19. 24
  20. 5040
  21. 400
  22. 450
  23. 361
  24. 47
  25. 5280
  26. 11
  27. 169
  28. 3500
  29. 280
  30. 90
  31. 5
  32. 360
  33. 75
  34. 180
  35. 83
  36. 12
  37. 61
  38. 8
  39. 60
  40. 196

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