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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 338 · 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 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.From a rectangle 6 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)?
  3. 3.A wall is 8 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.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 ₹)?
  5. 5.From a rectangle 8 cm long and 15 cm wide, a rectangle 4 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.From a rectangle 8 cm long and 6 cm wide, a rectangle 6 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.A wall is 12 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.Each side of a square is 21 cm. What is its perimeter (in cm)?
  9. 9.A square has a perimeter of 32 cm. What is its area (in square cm)?
  10. 10.A wall is 12 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
  12. 12.A wall is 5 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
  14. 14.A wall is 9 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
  16. 16.A square has a perimeter of 12 cm. What is its area (in square cm)?
  17. 17.The perimeter of a rectangle is 58 cm and its length is 18 cm. What is its width (in cm)?
  18. 18.A rectangular field is 60 m long and 40 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.A square has a perimeter of 44 cm. What is its area (in square cm)?
  20. 20.A square has a perimeter of 76 cm. What is its area (in square cm)?
  21. 21.The perimeter of a rectangle is 90 cm and its length is 28 cm. What is its width (in cm)?
  22. 22.A wall is 5 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.From a rectangle 9 cm long and 13 cm wide, a rectangle 1 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
  25. 25.A wall is 6 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
  27. 27.Each side of a square is 23 cm. What is its perimeter (in cm)?
  28. 28.A wall is 7 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.The perimeter of a rectangle is 42 cm and its length is 16 cm. What is its width (in cm)?
  30. 30.From a rectangle 13 cm long and 15 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)?
  31. 31.The perimeter of a rectangle is 78 cm and its length is 25 cm. What is its width (in cm)?
  32. 32.From a rectangle 13 cm long and 15 cm wide, a rectangle 8 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  34. 34.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
  36. 36.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  37. 37.A rectangular field is 70 m long and 60 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.The perimeter of a rectangle is 60 cm and its length is 16 cm. What is its width (in cm)?
  40. 40.A square has a perimeter of 52 cm. What is its area (in square cm)?

Answer key

  1. 3300
  2. 29
  3. 960
  4. 480
  5. 84
  6. 24
  7. 1080
  8. 84
  9. 64
  10. 720
  11. 78
  12. 300
  13. 15
  14. 540
  15. 40
  16. 9
  17. 11
  18. 1600
  19. 121
  20. 361
  21. 17
  22. 200
  23. 109
  24. 160
  25. 960
  26. 45
  27. 92
  28. 280
  29. 5
  30. 189
  31. 14
  32. 139
  33. 12
  34. 1430
  35. 126
  36. 2
  37. 1820
  38. 1200
  39. 14
  40. 169

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