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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 342 · 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.The perimeter of a rectangle is 54 cm and its length is 14 cm. What is its width (in cm)?
  2. 2.A wall is 9 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
  4. 4.A square has a perimeter of 64 cm. What is its area (in square cm)?
  5. 5.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
  6. 6.The perimeter of a rectangle is 56 cm and its length is 23 cm. What is its width (in cm)?
  7. 7.A wall is 8 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  9. 9.A wall is 3 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.From a rectangle 9 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)?
  11. 11.A wall is 11 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A square has a perimeter of 40 cm. What is its area (in square cm)?
  13. 13.A square has a perimeter of 72 cm. What is its area (in square cm)?
  14. 14.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.A square has a perimeter of 44 cm. What is its area (in square cm)?
  16. 16.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
  17. 17.A wall is 8 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.A square has a perimeter of 12 cm. What is its area (in square cm)?
  19. 19.From a rectangle 6 cm long and 5 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)?
  20. 20.A wall is 9 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.A wall is 6 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.The perimeter of a rectangle is 34 cm and its length is 9 cm. What is its width (in cm)?
  24. 24.A wall is 7 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
  26. 26.From a rectangle 16 cm long and 11 cm wide, a rectangle 3 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.From a rectangle 16 cm long and 6 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.A wall is 6 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.A square has a perimeter of 76 cm. What is its area (in square cm)?
  30. 30.A wall is 5 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.A square has a perimeter of 24 cm. What is its area (in square cm)?
  32. 32.A square has a perimeter of 20 cm. What is its area (in square cm)?
  33. 33.Each side of a square is 7 cm. What is its perimeter (in cm)?
  34. 34.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 ₹)?
  35. 35.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
  36. 36.A rectangular field is 45 m long and 25 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.Each side of a square is 17 cm. What is its perimeter (in cm)?
  39. 39.A rectangular field is 70 m long and 65 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.A wall is 3 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 13
  2. 630
  3. 32
  4. 256
  5. 69
  6. 5
  7. 840
  8. 9
  9. 150
  10. 51
  11. 220
  12. 100
  13. 324
  14. 3680
  15. 121
  16. 35
  17. 1800
  18. 9
  19. 27
  20. 1440
  21. 900
  22. 3000
  23. 8
  24. 630
  25. 80
  26. 158
  27. 92
  28. 180
  29. 361
  30. 450
  31. 36
  32. 25
  33. 28
  34. 450
  35. 48
  36. 840
  37. 450
  38. 68
  39. 4320
  40. 300

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