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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 605 · 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 13 cm wide, a rectangle 5 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.From a rectangle 13 cm long and 11 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)?
  3. 3.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
  4. 4.A square has a perimeter of 44 cm. What is its area (in square cm)?
  5. 5.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.The perimeter of a rectangle is 40 cm and its length is 11 cm. What is its width (in cm)?
  7. 7.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
  8. 8.A square has a perimeter of 8 cm. What is its area (in square cm)?
  9. 9.The perimeter of a rectangle is 40 cm and its length is 15 cm. What is its width (in cm)?
  10. 10.Each side of a square is 25 cm. What is its perimeter (in cm)?
  11. 11.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.From a rectangle 10 cm long and 10 cm wide, a rectangle 7 cm by 6 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 40 cm. What is its area (in square cm)?
  14. 14.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 ₹)?
  15. 15.From a rectangle 16 cm long and 12 cm wide, a rectangle 12 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.From a rectangle 17 cm long and 8 cm wide, a rectangle 5 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.A rectangular field is 90 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.A rectangular field is 60 m long and 40 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.A wall is 3 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.A square has a perimeter of 20 cm. What is its area (in square cm)?
  21. 21.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
  22. 22.Each side of a square is 3 cm. What is its perimeter (in cm)?
  23. 23.The perimeter of a rectangle is 68 cm and its length is 22 cm. What is its width (in cm)?
  24. 24.A rectangular field is 50 m long and 25 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.Each side of a square is 2 cm. What is its perimeter (in cm)?
  26. 26.A wall is 7 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A square has a perimeter of 36 cm. What is its area (in square cm)?
  29. 29.From a rectangle 20 cm long and 15 cm wide, a rectangle 14 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.A rectangular field is 85 m long and 50 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A rectangular field is 80 m long and 25 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.From a rectangle 18 cm long and 6 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
  34. 34.From a rectangle 19 cm long and 12 cm wide, a rectangle 3 cm by 5 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 octagon is 9 cm. What is its perimeter (in cm)?
  36. 36.From a rectangle 20 cm long and 7 cm wide, a rectangle 10 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.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 ₹)?
  38. 38.From a rectangle 8 cm long and 14 cm wide, a rectangle 6 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.From a rectangle 10 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)?
  40. 40.A wall is 6 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 220
  2. 127
  3. 3
  4. 121
  5. 360
  6. 9
  7. 32
  8. 4
  9. 5
  10. 100
  11. 2200
  12. 58
  13. 100
  14. 490
  15. 120
  16. 116
  17. 5000
  18. 2600
  19. 300
  20. 25
  21. 102
  22. 12
  23. 12
  24. 2400
  25. 8
  26. 525
  27. 1260
  28. 81
  29. 272
  30. 5670
  31. 3360
  32. 106
  33. 128
  34. 213
  35. 72
  36. 120
  37. 450
  38. 46
  39. 38
  40. 480

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