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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 60 · 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.Each side of a square is 11 cm. What is its perimeter (in cm)?
  2. 2.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
  4. 4.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
  5. 5.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.From a rectangle 16 cm long and 8 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  8. 8.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  9. 9.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 ₹)?
  10. 10.A square has a perimeter of 40 cm. What is its area (in square cm)?
  11. 11.A wall is 8 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.Each side of a square is 3 cm. What is its perimeter (in cm)?
  13. 13.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
  14. 14.From a rectangle 8 cm long and 6 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  15. 15.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A square has a perimeter of 28 cm. What is its area (in square cm)?
  17. 17.A rectangular field is 70 m long and 35 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.From a rectangle 19 cm long and 14 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)?
  19. 19.A wall is 12 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
  21. 21.A wall is 6 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A rectangular field is 100 m long and 60 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.A square has a perimeter of 60 cm. What is its area (in square cm)?
  24. 24.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
  25. 25.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
  26. 26.A wall is 4 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.A square has a perimeter of 68 cm. What is its area (in square cm)?
  28. 28.A wall is 5 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.A square has a perimeter of 24 cm. What is its area (in square cm)?
  30. 30.A square has a perimeter of 8 cm. What is its area (in square cm)?
  31. 31.From a rectangle 16 cm long and 10 cm wide, a rectangle 11 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.The perimeter of a rectangle is 86 cm and its length is 29 cm. What is its width (in cm)?
  33. 33.A wall is 5 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.The perimeter of a rectangle is 26 cm and its length is 9 cm. What is its width (in cm)?
  35. 35.A square has a perimeter of 20 cm. What is its area (in square cm)?
  36. 36.From a rectangle 6 cm long and 5 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.A rectangular field is 70 m long and 50 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
  39. 39.A rectangular field is 100 m long and 65 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?

Answer key

  1. 44
  2. 1300
  3. 32
  4. 75
  5. 2240
  6. 126
  7. 12
  8. 9
  9. 960
  10. 100
  11. 800
  12. 12
  13. 12
  14. 46
  15. 2280
  16. 49
  17. 3150
  18. 260
  19. 3000
  20. 15
  21. 1350
  22. 7040
  23. 225
  24. 144
  25. 40
  26. 720
  27. 289
  28. 150
  29. 36
  30. 4
  31. 105
  32. 14
  33. 500
  34. 4
  35. 25
  36. 27
  37. 2400
  38. 30
  39. 5940
  40. 72

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