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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 277 · 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 12 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
  3. 3.A wall is 11 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.A wall is 10 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.A wall is 8 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
  7. 7.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
  8. 8.A rectangular field is 85 m long and 60 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
  11. 11.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
  12. 12.The perimeter of a rectangle is 34 cm and its length is 9 cm. What is its width (in cm)?
  13. 13.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?
  14. 14.A wall is 9 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.A square has a perimeter of 52 cm. What is its area (in square cm)?
  16. 16.A wall is 5 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.From a rectangle 14 cm long and 8 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.Each side of a regular pentagon is 18 cm. What is its perimeter (in cm)?
  19. 19.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
  20. 20.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 ₹)?
  21. 21.A rectangular field is 65 m long and 40 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.Each side of a square is 12 cm. What is its perimeter (in cm)?
  23. 23.A square has a perimeter of 40 cm. What is its area (in square cm)?
  24. 24.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
  25. 25.A rectangular field is 55 m long and 40 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
  27. 27.A square has a perimeter of 28 cm. What is its area (in square cm)?
  28. 28.A wall is 5 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.A wall is 4 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.From a rectangle 16 cm long and 14 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.A wall is 7 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.A square has a perimeter of 80 cm. What is its area (in square cm)?
  33. 33.A square has a perimeter of 76 cm. What is its area (in square cm)?
  34. 34.The perimeter of a rectangle is 36 cm and its length is 11 cm. What is its width (in cm)?
  35. 35.The perimeter of a rectangle is 68 cm and its length is 25 cm. What is its width (in cm)?
  36. 36.A wall is 11 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.From a rectangle 20 cm long and 7 cm wide, a rectangle 10 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
  39. 39.A rectangular field is 90 m long and 20 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?

Answer key

  1. 2880
  2. 102
  3. 1375
  4. 1500
  5. 1600
  6. 63
  7. 39
  8. 6670
  9. 1650
  10. 104
  11. 125
  12. 8
  13. 90
  14. 1080
  15. 169
  16. 700
  17. 110
  18. 90
  19. 75
  20. 960
  21. 4830
  22. 48
  23. 100
  24. 69
  25. 2850
  26. 18
  27. 49
  28. 675
  29. 500
  30. 217
  31. 840
  32. 400
  33. 361
  34. 7
  35. 9
  36. 330
  37. 110
  38. 55
  39. 2640
  40. 20

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