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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 305 · 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.From a rectangle 9 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)?
  2. 2.A square has a perimeter of 28 cm. What is its area (in square cm)?
  3. 3.Each side of a square is 9 cm. What is its perimeter (in cm)?
  4. 4.A wall is 3 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.From a rectangle 13 cm long and 6 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)?
  6. 6.The perimeter of a rectangle is 58 cm and its length is 26 cm. What is its width (in cm)?
  7. 7.Each side of a regular hexagon is 25 cm. What is its perimeter (in cm)?
  8. 8.A square has a perimeter of 60 cm. What is its area (in square cm)?
  9. 9.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  10. 10.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
  11. 11.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.From a rectangle 13 cm long and 6 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  13. 13.A square has a perimeter of 56 cm. What is its area (in square cm)?
  14. 14.A rectangular field is 50 m long and 20 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.From a rectangle 16 cm long and 10 cm wide, a rectangle 10 cm by 8 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 hexagon is 22 cm. What is its perimeter (in cm)?
  17. 17.Each side of a square is 3 cm. What is its perimeter (in cm)?
  18. 18.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
  19. 19.Each side of a regular pentagon is 6 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.A wall is 6 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.The perimeter of a rectangle is 22 cm and its length is 7 cm. What is its width (in cm)?
  23. 23.A square has a perimeter of 24 cm. What is its area (in square cm)?
  24. 24.A rectangular field is 65 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.A rectangular field is 80 m long and 50 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.A wall is 5 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.A rectangular field is 65 m long and 60 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A wall is 4 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.The perimeter of a rectangle is 28 cm and its length is 9 cm. What is its width (in cm)?
  30. 30.A rectangular field is 65 m long and 55 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.The perimeter of a rectangle is 48 cm and its length is 14 cm. What is its width (in cm)?
  32. 32.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  33. 33.The perimeter of a rectangle is 44 cm and its length is 12 cm. What is its width (in cm)?
  34. 34.From a rectangle 7 cm long and 9 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.A square has a perimeter of 80 cm. What is its area (in square cm)?
  36. 36.A square has a perimeter of 48 cm. What is its area (in square cm)?
  37. 37.A square has a perimeter of 36 cm. What is its area (in square cm)?
  38. 38.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
  39. 39.From a rectangle 16 cm long and 7 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)?
  40. 40.From a rectangle 14 cm long and 12 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)?

Answer key

  1. 57
  2. 49
  3. 36
  4. 300
  5. 76
  6. 3
  7. 150
  8. 225
  9. 2
  10. 78
  11. 650
  12. 66
  13. 196
  14. 1960
  15. 80
  16. 132
  17. 12
  18. 75
  19. 30
  20. 324
  21. 300
  22. 4
  23. 36
  24. 3680
  25. 5720
  26. 750
  27. 6250
  28. 720
  29. 5
  30. 4800
  31. 10
  32. 21
  33. 10
  34. 60
  35. 400
  36. 144
  37. 81
  38. 60
  39. 97
  40. 162

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