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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 469 · 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 11 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.A wall is 6 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.From a rectangle 13 cm long and 9 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)?
  4. 4.A square has a perimeter of 12 cm. What is its area (in square cm)?
  5. 5.A wall is 12 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.A square has a perimeter of 60 cm. What is its area (in square cm)?
  7. 7.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
  8. 8.A wall is 3 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.Each side of a regular hexagon is 25 cm. What is its perimeter (in cm)?
  10. 10.From a rectangle 6 cm long and 15 cm wide, a rectangle 4 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  11. 11.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
  12. 12.From a rectangle 15 cm long and 10 cm wide, a rectangle 10 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  13. 13.A wall is 7 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.A wall is 4 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.From a rectangle 18 cm long and 9 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.The perimeter of a rectangle is 28 cm and its length is 10 cm. What is its width (in cm)?
  17. 17.The perimeter of a rectangle is 24 cm and its length is 8 cm. What is its width (in cm)?
  18. 18.Each side of a regular pentagon is 17 cm. What is its perimeter (in cm)?
  19. 19.A wall is 11 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A wall is 6 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A rectangular field is 75 m long and 25 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.A square has a perimeter of 20 cm. What is its area (in square cm)?
  24. 24.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
  25. 25.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  26. 26.A rectangular field is 100 m long and 25 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.The perimeter of a rectangle is 22 cm and its length is 7 cm. What is its width (in cm)?
  28. 28.A square has a perimeter of 76 cm. What is its area (in square cm)?
  29. 29.From a rectangle 7 cm long and 7 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)?
  30. 30.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A wall is 4 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.A rectangular field is 85 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.Each side of a regular pentagon is 18 cm. What is its perimeter (in cm)?
  34. 34.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
  35. 35.A square has a perimeter of 40 cm. What is its area (in square cm)?
  36. 36.From a rectangle 10 cm long and 5 cm wide, a rectangle 7 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.A square has a perimeter of 36 cm. What is its area (in square cm)?
  38. 38.A square has a perimeter of 16 cm. What is its area (in square cm)?
  39. 39.Each side of a square is 4 cm. What is its perimeter (in cm)?
  40. 40.From a rectangle 20 cm long and 15 cm wide, a rectangle 7 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 1100
  2. 1620
  3. 97
  4. 9
  5. 1800
  6. 225
  7. 132
  8. 90
  9. 150
  10. 66
  11. 72
  12. 110
  13. 700
  14. 480
  15. 154
  16. 4
  17. 4
  18. 85
  19. 1650
  20. 810
  21. 450
  22. 1600
  23. 25
  24. 144
  25. 25
  26. 2750
  27. 4
  28. 361
  29. 37
  30. 1440
  31. 180
  32. 2200
  33. 90
  34. 104
  35. 100
  36. 36
  37. 81
  38. 16
  39. 16
  40. 237

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