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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 208 · 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 square is 25 cm. What is its perimeter (in cm)?
  2. 2.The perimeter of a rectangle is 54 cm and its length is 14 cm. What is its width (in cm)?
  3. 3.From a rectangle 20 cm long and 8 cm wide, a rectangle 14 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.A rectangular field is 100 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.From a rectangle 11 cm long and 9 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)?
  6. 6.A wall is 12 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.A wall is 11 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.A wall is 4 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.A square has a perimeter of 32 cm. What is its area (in square cm)?
  11. 11.A wall is 7 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.From a rectangle 10 cm long and 5 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)?
  13. 13.From a rectangle 6 cm long and 6 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)?
  14. 14.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
  15. 15.The perimeter of a rectangle is 48 cm and its length is 13 cm. What is its width (in cm)?
  16. 16.From a rectangle 11 cm long and 5 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)?
  17. 17.The perimeter of a rectangle is 38 cm and its length is 13 cm. What is its width (in cm)?
  18. 18.A square has a perimeter of 44 cm. What is its area (in square cm)?
  19. 19.The perimeter of a rectangle is 58 cm and its length is 22 cm. What is its width (in cm)?
  20. 20.A wall is 8 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.From a rectangle 10 cm long and 13 cm wide, a rectangle 3 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.A square has a perimeter of 80 cm. What is its area (in square cm)?
  23. 23.A square has a perimeter of 36 cm. What is its area (in square cm)?
  24. 24.A square has a perimeter of 48 cm. What is its area (in square cm)?
  25. 25.The perimeter of a rectangle is 26 cm and its length is 11 cm. What is its width (in cm)?
  26. 26.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
  27. 27.From a rectangle 8 cm long and 8 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)?
  28. 28.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
  29. 29.Each side of a square is 24 cm. What is its perimeter (in cm)?
  30. 30.A square has a perimeter of 24 cm. What is its area (in square cm)?
  31. 31.Each side of a square is 15 cm. What is its perimeter (in cm)?
  32. 32.The perimeter of a rectangle is 72 cm and its length is 21 cm. What is its width (in cm)?
  33. 33.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
  34. 34.A wall is 3 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
  36. 36.A square has a perimeter of 12 cm. What is its area (in square cm)?
  37. 37.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.From a rectangle 10 cm long and 6 cm wide, a rectangle 8 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.A rectangular field is 85 m long and 25 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?

Answer key

  1. 100
  2. 13
  3. 76
  4. 5060
  5. 95
  6. 1440
  7. 1400
  8. 825
  9. 800
  10. 64
  11. 280
  12. 46
  13. 30
  14. 152
  15. 11
  16. 47
  17. 6
  18. 121
  19. 7
  20. 2160
  21. 100
  22. 400
  23. 81
  24. 144
  25. 2
  26. 5
  27. 58
  28. 96
  29. 96
  30. 36
  31. 60
  32. 15
  33. 55
  34. 300
  35. 138
  36. 9
  37. 700
  38. 36
  39. 2860
  40. 36

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