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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 304 · 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 18 cm and its length is 5 cm. What is its width (in cm)?
  2. 2.A rectangular field is 95 m long and 80 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.A square has a perimeter of 16 cm. What is its area (in square cm)?
  4. 4.The perimeter of a rectangle is 26 cm and its length is 8 cm. What is its width (in cm)?
  5. 5.The perimeter of a rectangle is 36 cm and its length is 13 cm. What is its width (in cm)?
  6. 6.A rectangular field is 80 m long and 30 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  8. 8.A square has a perimeter of 64 cm. What is its area (in square cm)?
  9. 9.From a rectangle 17 cm long and 5 cm wide, a rectangle 8 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
  11. 11.A wall is 10 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.The perimeter of a rectangle is 56 cm and its length is 16 cm. What is its width (in cm)?
  13. 13.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
  14. 14.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
  15. 15.From a rectangle 20 cm long and 8 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)?
  16. 16.A wall is 12 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.Each side of a regular octagon is 25 cm. What is its perimeter (in cm)?
  18. 18.A wall is 6 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.The perimeter of a rectangle is 66 cm and its length is 18 cm. What is its width (in cm)?
  20. 20.A square has a perimeter of 68 cm. What is its area (in square cm)?
  21. 21.From a rectangle 17 cm long and 11 cm wide, a rectangle 15 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.A rectangular field is 45 m long and 25 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.A rectangular field is 95 m long and 50 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.From a rectangle 7 cm long and 11 cm wide, a rectangle 5 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.The perimeter of a rectangle is 22 cm and its length is 7 cm. What is its width (in cm)?
  27. 27.A wall is 4 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.The perimeter of a rectangle is 70 cm and its length is 22 cm. What is its width (in cm)?
  29. 29.A wall is 9 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.A rectangular field is 60 m long and 55 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.The perimeter of a rectangle is 64 cm and its length is 17 cm. What is its width (in cm)?
  32. 32.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
  33. 33.The perimeter of a rectangle is 52 cm and its length is 22 cm. What is its width (in cm)?
  34. 34.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  35. 35.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
  36. 36.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
  37. 37.From a rectangle 10 cm long and 6 cm wide, a rectangle 2 cm by 4 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 hexagon is 15 cm. What is its perimeter (in cm)?
  39. 39.A wall is 12 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.Each side of a square is 15 cm. What is its perimeter (in cm)?

Answer key

  1. 4
  2. 7700
  3. 16
  4. 5
  5. 5
  6. 2200
  7. 25
  8. 256
  9. 61
  10. 144
  11. 1050
  12. 12
  13. 30
  14. 160
  15. 148
  16. 1080
  17. 200
  18. 1080
  19. 15
  20. 289
  21. 82
  22. 1960
  23. 6670
  24. 47
  25. 3250
  26. 4
  27. 480
  28. 13
  29. 810
  30. 4140
  31. 15
  32. 70
  33. 4
  34. 2
  35. 88
  36. 27
  37. 52
  38. 90
  39. 2400
  40. 60

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