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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 401 · 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 pentagon is 16 cm. What is its perimeter (in cm)?
  2. 2.From a rectangle 7 cm long and 5 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  3. 3.The perimeter of a rectangle is 38 cm and its length is 12 cm. What is its width (in cm)?
  4. 4.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.A wall is 3 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.A wall is 8 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.A square has a perimeter of 36 cm. What is its area (in square cm)?
  10. 10.From a rectangle 11 cm long and 5 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  11. 11.A wall is 11 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.The perimeter of a rectangle is 36 cm and its length is 12 cm. What is its width (in cm)?
  13. 13.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
  14. 14.A square has a perimeter of 32 cm. What is its area (in square cm)?
  15. 15.From a rectangle 7 cm long and 13 cm wide, a rectangle 3 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
  17. 17.A square has a perimeter of 76 cm. What is its area (in square cm)?
  18. 18.The perimeter of a rectangle is 46 cm and its length is 12 cm. What is its width (in cm)?
  19. 19.A wall is 4 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.The perimeter of a rectangle is 24 cm and its length is 8 cm. What is its width (in cm)?
  21. 21.A square has a perimeter of 40 cm. What is its area (in square cm)?
  22. 22.Each side of a square is 6 cm. What is its perimeter (in cm)?
  23. 23.A wall is 12 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.A square has a perimeter of 48 cm. What is its area (in square cm)?
  25. 25.From a rectangle 8 cm long and 10 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.A wall is 6 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.A square has a perimeter of 28 cm. What is its area (in square cm)?
  28. 28.The perimeter of a rectangle is 36 cm and its length is 13 cm. What is its width (in cm)?
  29. 29.A rectangular field is 65 m long and 25 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A wall is 5 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.The perimeter of a rectangle is 78 cm and its length is 22 cm. What is its width (in cm)?
  33. 33.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.Each side of a square is 11 cm. What is its perimeter (in cm)?
  35. 35.The perimeter of a rectangle is 86 cm and its length is 24 cm. What is its width (in cm)?
  36. 36.From a rectangle 10 cm long and 8 cm wide, a rectangle 2 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.Each side of an equilateral triangle is 10 cm. What is its perimeter (in cm)?
  38. 38.A wall is 4 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.A rectangular field is 80 m long and 65 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.A wall is 12 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 80
  2. 33
  3. 7
  4. 1210
  5. 1170
  6. 90
  7. 2720
  8. 800
  9. 81
  10. 48
  11. 1320
  12. 6
  13. 10
  14. 64
  15. 70
  16. 56
  17. 361
  18. 11
  19. 80
  20. 4
  21. 100
  22. 24
  23. 720
  24. 144
  25. 65
  26. 720
  27. 49
  28. 5
  29. 4500
  30. 1200
  31. 2250
  32. 17
  33. 950
  34. 44
  35. 19
  36. 68
  37. 30
  38. 960
  39. 2320
  40. 3000

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