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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 353 · 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 square has a perimeter of 80 cm. What is its area (in square cm)?
  2. 2.Each side of a square is 7 cm. What is its perimeter (in cm)?
  3. 3.A square has a perimeter of 44 cm. What is its area (in square cm)?
  4. 4.The perimeter of a rectangle is 94 cm and its length is 26 cm. What is its width (in cm)?
  5. 5.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.A square has a perimeter of 36 cm. What is its area (in square cm)?
  7. 7.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
  8. 8.From a rectangle 6 cm long and 14 cm wide, a rectangle 2 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  9. 9.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
  10. 10.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
  11. 11.Each side of a square is 19 cm. What is its perimeter (in cm)?
  12. 12.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.The perimeter of a rectangle is 96 cm and its length is 29 cm. What is its width (in cm)?
  14. 14.A square has a perimeter of 20 cm. What is its area (in square cm)?
  15. 15.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
  17. 17.A rectangular field is 85 m long and 50 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.A wall is 11 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.A wall is 3 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.From a rectangle 17 cm long and 9 cm wide, a rectangle 14 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.A wall is 4 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.From a rectangle 20 cm long and 7 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)?
  23. 23.The perimeter of a rectangle is 56 cm and its length is 22 cm. What is its width (in cm)?
  24. 24.From a rectangle 6 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)?
  25. 25.A rectangular field is 90 m long and 30 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.A square has a perimeter of 68 cm. What is its area (in square cm)?
  27. 27.Each side of a square is 9 cm. What is its perimeter (in cm)?
  28. 28.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
  29. 29.A square has a perimeter of 72 cm. What is its area (in square cm)?
  30. 30.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
  32. 32.The perimeter of a rectangle is 102 cm and its length is 26 cm. What is its width (in cm)?
  33. 33.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  34. 34.From a rectangle 17 cm long and 13 cm wide, a rectangle 1 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.The perimeter of a rectangle is 50 cm and its length is 16 cm. What is its width (in cm)?
  36. 36.A rectangular field is 85 m long and 30 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.The perimeter of a rectangle is 68 cm and its length is 28 cm. What is its width (in cm)?
  38. 38.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.The perimeter of a rectangle is 72 cm and its length is 25 cm. What is its width (in cm)?

Answer key

  1. 400
  2. 28
  3. 121
  4. 21
  5. 2550
  6. 81
  7. 160
  8. 68
  9. 112
  10. 57
  11. 76
  12. 1280
  13. 19
  14. 25
  15. 1350
  16. 132
  17. 6480
  18. 990
  19. 405
  20. 125
  21. 120
  22. 132
  23. 6
  24. 38
  25. 6000
  26. 289
  27. 36
  28. 24
  29. 324
  30. 1040
  31. 125
  32. 25
  33. 2
  34. 213
  35. 9
  36. 2070
  37. 6
  38. 600
  39. 300
  40. 11

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