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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 109 · 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 rectangular field is 75 m long and 30 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.A square has a perimeter of 60 cm. What is its area (in square cm)?
  3. 3.Each side of a regular hexagon is 11 cm. What is its perimeter (in cm)?
  4. 4.A wall is 12 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.The perimeter of a rectangle is 54 cm and its length is 17 cm. What is its width (in cm)?
  6. 6.From a rectangle 8 cm long and 14 cm wide, a rectangle 2 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.From a rectangle 8 cm long and 13 cm wide, a rectangle 6 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.A rectangular field is 55 m long and 35 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.The perimeter of a rectangle is 24 cm and its length is 8 cm. What is its width (in cm)?
  10. 10.Each side of a regular pentagon is 22 cm. What is its perimeter (in cm)?
  11. 11.From a rectangle 14 cm long and 11 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)?
  12. 12.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  13. 13.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
  14. 14.Each side of a square is 4 cm. What is its perimeter (in cm)?
  15. 15.A wall is 3 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.A wall is 4 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
  19. 19.A square has a perimeter of 20 cm. What is its area (in square cm)?
  20. 20.A wall is 11 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.The perimeter of a rectangle is 92 cm and its length is 28 cm. What is its width (in cm)?
  22. 22.A square has a perimeter of 52 cm. What is its area (in square cm)?
  23. 23.The perimeter of a rectangle is 34 cm and its length is 10 cm. What is its width (in cm)?
  24. 24.The perimeter of a rectangle is 64 cm and its length is 25 cm. What is its width (in cm)?
  25. 25.A wall is 11 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.The perimeter of a rectangle is 70 cm and its length is 29 cm. What is its width (in cm)?
  27. 27.The perimeter of a rectangle is 44 cm and its length is 14 cm. What is its width (in cm)?
  28. 28.A square has a perimeter of 16 cm. What is its area (in square cm)?
  29. 29.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
  32. 32.From a rectangle 7 cm long and 12 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.The perimeter of a rectangle is 34 cm and its length is 9 cm. What is its width (in cm)?
  34. 34.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
  35. 35.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  36. 36.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
  37. 37.A rectangular field is 50 m long and 30 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.A wall is 8 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.Each side of a square is 14 cm. What is its perimeter (in cm)?
  40. 40.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 ₹)?

Answer key

  1. 3780
  2. 225
  3. 66
  4. 1800
  5. 10
  6. 100
  7. 56
  8. 900
  9. 4
  10. 110
  11. 153
  12. 21
  13. 45
  14. 16
  15. 525
  16. 320
  17. 3120
  18. 6
  19. 25
  20. 1100
  21. 18
  22. 169
  23. 7
  24. 7
  25. 2310
  26. 6
  27. 8
  28. 16
  29. 1820
  30. 980
  31. 30
  32. 69
  33. 8
  34. 40
  35. 36
  36. 72
  37. 960
  38. 640
  39. 56
  40. 630

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