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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 141 · 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.The perimeter of a rectangle is 48 cm and its length is 14 cm. What is its width (in cm)?
  2. 2.A rectangular field is 85 m long and 70 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.A rectangular field is 85 m long and 40 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.A square has a perimeter of 36 cm. What is its area (in square cm)?
  5. 5.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.The perimeter of a rectangle is 56 cm and its length is 23 cm. What is its width (in cm)?
  7. 7.The perimeter of a rectangle is 36 cm and its length is 15 cm. What is its width (in cm)?
  8. 8.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.A square has a perimeter of 32 cm. What is its area (in square cm)?
  10. 10.From a rectangle 10 cm long and 12 cm wide, a rectangle 4 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  11. 11.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
  12. 12.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.From a rectangle 19 cm long and 13 cm wide, a rectangle 16 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.A rectangular field is 80 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.A wall is 8 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.A wall is 6 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A wall is 12 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.The perimeter of a rectangle is 68 cm and its length is 27 cm. What is its width (in cm)?
  19. 19.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
  20. 20.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
  21. 21.Each side of a square is 8 cm. What is its perimeter (in cm)?
  22. 22.A wall is 6 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  24. 24.A square has a perimeter of 72 cm. What is its area (in square cm)?
  25. 25.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
  27. 27.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
  28. 28.A wall is 5 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.From a rectangle 14 cm long and 6 cm wide, a rectangle 8 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.The perimeter of a rectangle is 22 cm and its length is 7 cm. What is its width (in cm)?
  31. 31.From a rectangle 14 cm long and 15 cm wide, a rectangle 10 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.A wall is 7 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.The perimeter of a rectangle is 54 cm and its length is 22 cm. What is its width (in cm)?
  34. 34.From a rectangle 11 cm long and 11 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)?
  35. 35.The perimeter of a rectangle is 50 cm and its length is 20 cm. What is its width (in cm)?
  36. 36.From a rectangle 13 cm long and 8 cm wide, a rectangle 9 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.From a rectangle 17 cm long and 12 cm wide, a rectangle 5 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
  39. 39.Each side of a square is 21 cm. What is its perimeter (in cm)?
  40. 40.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?

Answer key

  1. 10
  2. 4650
  3. 4000
  4. 81
  5. 1330
  6. 5
  7. 3
  8. 4080
  9. 64
  10. 100
  11. 128
  12. 1100
  13. 199
  14. 3960
  15. 840
  16. 900
  17. 600
  18. 7
  19. 54
  20. 102
  21. 32
  22. 900
  23. 2
  24. 324
  25. 1200
  26. 72
  27. 120
  28. 250
  29. 76
  30. 4
  31. 120
  32. 1575
  33. 5
  34. 115
  35. 5
  36. 59
  37. 184
  38. 48
  39. 84
  40. 57

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