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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 186 · 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 74 cm and its length is 28 cm. What is its width (in cm)?
  2. 2.A rectangular field is 85 m long and 35 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.From a rectangle 10 cm long and 13 cm wide, a rectangle 8 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.A rectangular field is 90 m long and 55 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.A rectangular field is 65 m long and 45 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.From a rectangle 16 cm long and 14 cm wide, a rectangle 2 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.The perimeter of a rectangle is 42 cm and its length is 16 cm. What is its width (in cm)?
  8. 8.A square has a perimeter of 64 cm. What is its area (in square cm)?
  9. 9.The perimeter of a rectangle is 70 cm and its length is 20 cm. What is its width (in cm)?
  10. 10.Each side of a regular octagon is 10 cm. What is its perimeter (in cm)?
  11. 11.A wall is 4 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A square has a perimeter of 24 cm. What is its area (in square cm)?
  13. 13.From a rectangle 16 cm long and 11 cm wide, a rectangle 14 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.A wall is 6 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.A square has a perimeter of 32 cm. What is its area (in square cm)?
  16. 16.The perimeter of a rectangle is 64 cm and its length is 17 cm. What is its width (in cm)?
  17. 17.A rectangular field is 85 m long and 35 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.A square has a perimeter of 52 cm. What is its area (in square cm)?
  19. 19.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
  20. 20.A square has a perimeter of 72 cm. What is its area (in square cm)?
  21. 21.From a rectangle 19 cm long and 7 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.A rectangular field is 55 m long and 50 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.A square has a perimeter of 28 cm. What is its area (in square cm)?
  24. 24.The perimeter of a rectangle is 102 cm and its length is 27 cm. What is its width (in cm)?
  25. 25.From a rectangle 15 cm long and 5 cm wide, a rectangle 8 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.A wall is 4 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.The perimeter of a rectangle is 44 cm and its length is 19 cm. What is its width (in cm)?
  28. 28.A square has a perimeter of 68 cm. What is its area (in square cm)?
  29. 29.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
  30. 30.A rectangular field is 75 m long and 65 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.From a rectangle 17 cm long and 7 cm wide, a rectangle 9 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
  33. 33.Each side of a regular octagon is 17 cm. What is its perimeter (in cm)?
  34. 34.From a rectangle 15 cm long and 9 cm wide, a rectangle 6 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.A wall is 7 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.A rectangular field is 55 m long and 30 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.From a rectangle 13 cm long and 8 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.A wall is 9 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.The perimeter of a rectangle is 76 cm and its length is 21 cm. What is its width (in cm)?
  40. 40.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?

Answer key

  1. 9
  2. 3600
  3. 82
  4. 4930
  5. 4180
  6. 206
  7. 5
  8. 256
  9. 15
  10. 80
  11. 400
  12. 36
  13. 134
  14. 480
  15. 64
  16. 15
  17. 5760
  18. 169
  19. 12
  20. 324
  21. 127
  22. 1260
  23. 49
  24. 24
  25. 67
  26. 200
  27. 3
  28. 289
  29. 63
  30. 5880
  31. 110
  32. 45
  33. 136
  34. 111
  35. 1470
  36. 2890
  37. 99
  38. 945
  39. 17
  40. 60

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