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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 543 · 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 regular hexagon is 25 cm. What is its perimeter (in cm)?
  2. 2.The perimeter of a rectangle is 32 cm and its length is 10 cm. What is its width (in cm)?
  3. 3.The perimeter of a rectangle is 66 cm and its length is 18 cm. What is its width (in cm)?
  4. 4.A rectangular field is 90 m long and 65 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.A wall is 4 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.The perimeter of a rectangle is 26 cm and its length is 11 cm. What is its width (in cm)?
  7. 7.From a rectangle 13 cm long and 12 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)?
  8. 8.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 ₹)?
  9. 9.The perimeter of a rectangle is 58 cm and its length is 18 cm. What is its width (in cm)?
  10. 10.A rectangular field is 55 m long and 30 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.A square has a perimeter of 80 cm. What is its area (in square cm)?
  12. 12.A wall is 7 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.A square has a perimeter of 60 cm. What is its area (in square cm)?
  14. 14.A wall is 5 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.The perimeter of a rectangle is 24 cm and its length is 8 cm. What is its width (in cm)?
  16. 16.Each side of a regular octagon is 25 cm. What is its perimeter (in cm)?
  17. 17.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
  18. 18.From a rectangle 6 cm long and 10 cm wide, a rectangle 4 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.A square has a perimeter of 20 cm. What is its area (in square cm)?
  20. 20.The perimeter of a rectangle is 98 cm and its length is 25 cm. What is its width (in cm)?
  21. 21.From a rectangle 10 cm long and 9 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)?
  22. 22.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
  23. 23.The perimeter of a rectangle is 28 cm and its length is 10 cm. What is its width (in cm)?
  24. 24.From a rectangle 12 cm long and 8 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)?
  25. 25.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
  26. 26.From a rectangle 15 cm long and 15 cm wide, a rectangle 12 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
  28. 28.Each side of a regular pentagon is 20 cm. What is its perimeter (in cm)?
  29. 29.From a rectangle 14 cm long and 9 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.A rectangular field is 95 m long and 75 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A rectangular field is 100 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.A wall is 6 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.A rectangular field is 65 m long and 45 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.The perimeter of a rectangle is 38 cm and its length is 15 cm. What is its width (in cm)?
  37. 37.A square has a perimeter of 48 cm. What is its area (in square cm)?
  38. 38.From a rectangle 9 cm long and 7 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
  40. 40.A wall is 9 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 150
  2. 6
  3. 15
  4. 5890
  5. 640
  6. 2
  7. 101
  8. 1320
  9. 11
  10. 3400
  11. 400
  12. 1750
  13. 225
  14. 500
  15. 4
  16. 200
  17. 18
  18. 28
  19. 25
  20. 24
  21. 88
  22. 60
  23. 4
  24. 92
  25. 75
  26. 213
  27. 3
  28. 100
  29. 118
  30. 3400
  31. 1320
  32. 750
  33. 1320
  34. 1320
  35. 1610
  36. 4
  37. 144
  38. 59
  39. 54
  40. 1620

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