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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 365 · 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 square has a perimeter of 68 cm. What is its area (in square cm)?
  2. 2.A wall is 9 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.The perimeter of a rectangle is 40 cm and its length is 18 cm. What is its width (in cm)?
  4. 4.A wall is 3 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.The perimeter of a rectangle is 54 cm and its length is 23 cm. What is its width (in cm)?
  6. 6.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
  7. 7.A square has a perimeter of 64 cm. What is its area (in square cm)?
  8. 8.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 ₹)?
  9. 9.Each side of a square is 25 cm. What is its perimeter (in cm)?
  10. 10.A wall is 4 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.A square has a perimeter of 16 cm. What is its area (in square cm)?
  12. 12.The perimeter of a rectangle is 92 cm and its length is 24 cm. What is its width (in cm)?
  13. 13.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A rectangular field is 95 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.From a rectangle 9 cm long and 9 cm wide, a rectangle 2 cm by 3 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 60 cm and its length is 25 cm. What is its width (in cm)?
  17. 17.A square has a perimeter of 8 cm. What is its area (in square cm)?
  18. 18.The perimeter of a rectangle is 38 cm and its length is 11 cm. What is its width (in cm)?
  19. 19.A square has a perimeter of 72 cm. What is its area (in square cm)?
  20. 20.The perimeter of a rectangle is 46 cm and its length is 15 cm. What is its width (in cm)?
  21. 21.A wall is 7 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A wall is 6 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.From a rectangle 8 cm long and 5 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)?
  24. 24.A rectangular field is 70 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.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 ₹)?
  26. 26.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.A rectangular field is 100 m long and 35 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A square has a perimeter of 56 cm. What is its area (in square cm)?
  29. 29.The perimeter of a rectangle is 46 cm and its length is 17 cm. What is its width (in cm)?
  30. 30.A wall is 12 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.A wall is 4 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.Each side of a regular hexagon is 25 cm. What is its perimeter (in cm)?
  33. 33.A wall is 7 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.From a rectangle 8 cm long and 10 cm wide, a rectangle 5 cm by 7 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 19 cm. What is its perimeter (in cm)?
  36. 36.A square has a perimeter of 44 cm. What is its area (in square cm)?
  37. 37.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
  38. 38.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
  39. 39.A wall is 12 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.A rectangular field is 55 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 289
  2. 945
  3. 2
  4. 270
  5. 4
  6. 16
  7. 256
  8. 400
  9. 100
  10. 600
  11. 16
  12. 22
  13. 2100
  14. 1540
  15. 75
  16. 5
  17. 4
  18. 8
  19. 324
  20. 8
  21. 560
  22. 1260
  23. 39
  24. 1360
  25. 1320
  26. 1020
  27. 1350
  28. 196
  29. 6
  30. 240
  31. 600
  32. 150
  33. 1120
  34. 45
  35. 152
  36. 121
  37. 15
  38. 35
  39. 2880
  40. 910

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