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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 225 · 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 an equilateral triangle is 14 cm. What is its perimeter (in cm)?
  2. 2.A wall is 9 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.A wall is 7 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.The perimeter of a rectangle is 62 cm and its length is 27 cm. What is its width (in cm)?
  5. 5.A wall is 10 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.From a rectangle 20 cm long and 10 cm wide, a rectangle 15 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.From a rectangle 6 cm long and 10 cm wide, a rectangle 3 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.The perimeter of a rectangle is 60 cm and its length is 25 cm. What is its width (in cm)?
  9. 9.The perimeter of a rectangle is 70 cm and its length is 26 cm. What is its width (in cm)?
  10. 10.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 ₹)?
  11. 11.The perimeter of a rectangle is 48 cm and its length is 13 cm. What is its width (in cm)?
  12. 12.A rectangular field is 100 m long and 70 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.The perimeter of a rectangle is 94 cm and its length is 28 cm. What is its width (in cm)?
  14. 14.From a rectangle 8 cm long and 11 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)?
  15. 15.A square has a perimeter of 68 cm. What is its area (in square cm)?
  16. 16.The perimeter of a rectangle is 64 cm and its length is 22 cm. What is its width (in cm)?
  17. 17.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
  18. 18.The perimeter of a rectangle is 74 cm and its length is 26 cm. What is its width (in cm)?
  19. 19.From a rectangle 11 cm long and 10 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.A square has a perimeter of 60 cm. What is its area (in square cm)?
  21. 21.Each side of a square is 23 cm. What is its perimeter (in cm)?
  22. 22.From a rectangle 8 cm long and 5 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)?
  23. 23.Each side of a regular hexagon is 25 cm. What is its perimeter (in cm)?
  24. 24.A rectangular field is 60 m long and 35 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.From a rectangle 9 cm long and 9 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.The perimeter of a rectangle is 26 cm and its length is 8 cm. What is its width (in cm)?
  27. 27.The perimeter of a rectangle is 30 cm and its length is 8 cm. What is its width (in cm)?
  28. 28.A square has a perimeter of 64 cm. What is its area (in square cm)?
  29. 29.From a rectangle 14 cm long and 10 cm wide, a rectangle 7 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.Each side of a square is 4 cm. What is its perimeter (in cm)?
  31. 31.The perimeter of a rectangle is 34 cm and its length is 12 cm. What is its width (in cm)?
  32. 32.From a rectangle 17 cm long and 13 cm wide, a rectangle 12 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.The perimeter of a rectangle is 42 cm and its length is 12 cm. What is its width (in cm)?
  34. 34.A square has a perimeter of 48 cm. What is its area (in square cm)?
  35. 35.From a rectangle 11 cm long and 6 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)?
  36. 36.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
  37. 37.The perimeter of a rectangle is 60 cm and its length is 18 cm. What is its width (in cm)?
  38. 38.From a rectangle 18 cm long and 6 cm wide, a rectangle 7 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  40. 40.A square has a perimeter of 16 cm. What is its area (in square cm)?

Answer key

  1. 42
  2. 900
  3. 1050
  4. 4
  5. 500
  6. 170
  7. 36
  8. 5
  9. 9
  10. 540
  11. 11
  12. 8160
  13. 19
  14. 76
  15. 289
  16. 10
  17. 126
  18. 11
  19. 105
  20. 225
  21. 92
  22. 34
  23. 150
  24. 1140
  25. 75
  26. 5
  27. 7
  28. 256
  29. 126
  30. 16
  31. 5
  32. 101
  33. 9
  34. 144
  35. 42
  36. 66
  37. 12
  38. 80
  39. 21
  40. 16

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