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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 477 · 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 octagon is 9 cm. What is its perimeter (in cm)?
  2. 2.The perimeter of a rectangle is 34 cm and its length is 15 cm. What is its width (in cm)?
  3. 3.Each side of a regular octagon is 23 cm. What is its perimeter (in cm)?
  4. 4.A rectangular field is 100 m long and 40 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.From a rectangle 13 cm long and 11 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)?
  7. 7.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.A square has a perimeter of 32 cm. What is its area (in square cm)?
  9. 9.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
  10. 10.From a rectangle 14 cm long and 12 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)?
  11. 11.The perimeter of a rectangle is 50 cm and its length is 16 cm. What is its width (in cm)?
  12. 12.A rectangular field is 50 m long and 30 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A square has a perimeter of 44 cm. What is its area (in square cm)?
  14. 14.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
  15. 15.A square has a perimeter of 52 cm. What is its area (in square cm)?
  16. 16.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
  17. 17.From a rectangle 8 cm long and 6 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.From a rectangle 18 cm long and 13 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.From a rectangle 9 cm long and 7 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)?
  20. 20.A rectangular field is 60 m long and 25 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.Each side of a square is 12 cm. What is its perimeter (in cm)?
  22. 22.From a rectangle 12 cm long and 15 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)?
  23. 23.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.From a rectangle 6 cm long and 8 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)?
  25. 25.Each side of a square is 21 cm. What is its perimeter (in cm)?
  26. 26.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
  27. 27.Each side of a regular octagon is 25 cm. What is its perimeter (in cm)?
  28. 28.A wall is 7 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.From a rectangle 16 cm long and 14 cm wide, a rectangle 10 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.The perimeter of a rectangle is 76 cm and its length is 30 cm. What is its width (in cm)?
  31. 31.The perimeter of a rectangle is 64 cm and its length is 17 cm. What is its width (in cm)?
  32. 32.A rectangular field is 55 m long and 40 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A wall is 3 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.The perimeter of a rectangle is 64 cm and its length is 19 cm. What is its width (in cm)?
  36. 36.A square has a perimeter of 28 cm. What is its area (in square cm)?
  37. 37.From a rectangle 7 cm long and 5 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.A rectangular field is 95 m long and 55 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.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 ₹)?
  40. 40.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 72
  2. 2
  3. 184
  4. 5880
  5. 4180
  6. 131
  7. 2400
  8. 64
  9. 60
  10. 160
  11. 9
  12. 2240
  13. 121
  14. 50
  15. 169
  16. 54
  17. 32
  18. 228
  19. 57
  20. 1360
  21. 48
  22. 150
  23. 1520
  24. 40
  25. 84
  26. 12
  27. 200
  28. 280
  29. 124
  30. 8
  31. 15
  32. 3800
  33. 135
  34. 2760
  35. 13
  36. 49
  37. 29
  38. 2400
  39. 1800
  40. 1470

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