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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 410 · 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 wall is 7 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.A square has a perimeter of 40 cm. What is its area (in square cm)?
  3. 3.The perimeter of a rectangle is 38 cm and its length is 11 cm. What is its width (in cm)?
  4. 4.From a rectangle 18 cm long and 5 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  5. 5.A rectangular field is 90 m long and 10 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.The perimeter of a rectangle is 22 cm and its length is 8 cm. What is its width (in cm)?
  7. 7.From a rectangle 17 cm long and 5 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.A square has a perimeter of 48 cm. What is its area (in square cm)?
  9. 9.Each side of a regular pentagon is 22 cm. What is its perimeter (in cm)?
  10. 10.A rectangular field is 65 m long and 35 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
  12. 12.The perimeter of a rectangle is 36 cm and its length is 14 cm. What is its width (in cm)?
  13. 13.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
  14. 14.A square has a perimeter of 24 cm. What is its area (in square cm)?
  15. 15.The perimeter of a rectangle is 94 cm and its length is 27 cm. What is its width (in cm)?
  16. 16.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 ₹)?
  17. 17.The perimeter of a rectangle is 42 cm and its length is 11 cm. What is its width (in cm)?
  18. 18.The perimeter of a rectangle is 60 cm and its length is 19 cm. What is its width (in cm)?
  19. 19.A square has a perimeter of 12 cm. What is its area (in square cm)?
  20. 20.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
  21. 21.From a rectangle 16 cm long and 12 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
  23. 23.The perimeter of a rectangle is 54 cm and its length is 22 cm. What is its width (in cm)?
  24. 24.From a rectangle 18 cm long and 9 cm wide, a rectangle 8 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.The perimeter of a rectangle is 52 cm and its length is 21 cm. What is its width (in cm)?
  26. 26.A wall is 6 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.The perimeter of a rectangle is 18 cm and its length is 7 cm. What is its width (in cm)?
  28. 28.A square has a perimeter of 76 cm. What is its area (in square cm)?
  29. 29.A wall is 4 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A wall is 8 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.A square has a perimeter of 56 cm. What is its area (in square cm)?
  33. 33.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.From a rectangle 15 cm long and 8 cm wide, a rectangle 9 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
  36. 36.A square has a perimeter of 16 cm. What is its area (in square cm)?
  37. 37.The perimeter of a rectangle is 28 cm and its length is 10 cm. What is its width (in cm)?
  38. 38.A rectangular field is 70 m long and 60 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.Each side of a regular octagon is 10 cm. What is its perimeter (in cm)?
  40. 40.A rectangular field is 90 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 1260
  2. 100
  3. 8
  4. 86
  5. 2200
  6. 3
  7. 83
  8. 144
  9. 110
  10. 1800
  11. 75
  12. 4
  13. 128
  14. 36
  15. 20
  16. 1080
  17. 10
  18. 11
  19. 9
  20. 48
  21. 177
  22. 78
  23. 5
  24. 122
  25. 5
  26. 540
  27. 2
  28. 361
  29. 240
  30. 2420
  31. 560
  32. 196
  33. 2310
  34. 93
  35. 12
  36. 16
  37. 4
  38. 5200
  39. 80
  40. 2520

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