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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 201 · 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.A rectangular field is 70 m long and 40 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.Each side of a square is 16 cm. What is its perimeter (in cm)?
  4. 4.The perimeter of a rectangle is 34 cm and its length is 12 cm. What is its width (in cm)?
  5. 5.The perimeter of a rectangle is 34 cm and its length is 15 cm. What is its width (in cm)?
  6. 6.A wall is 12 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.The perimeter of a rectangle is 64 cm and its length is 19 cm. What is its width (in cm)?
  9. 9.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
  10. 10.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
  11. 11.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
  12. 12.From a rectangle 17 cm long and 5 cm wide, a rectangle 10 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  13. 13.A wall is 6 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
  15. 15.From a rectangle 18 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)?
  16. 16.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
  17. 17.A wall is 12 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.From a rectangle 13 cm long and 15 cm wide, a rectangle 6 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.The perimeter of a rectangle is 52 cm and its length is 14 cm. What is its width (in cm)?
  20. 20.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
  21. 21.The perimeter of a rectangle is 26 cm and its length is 7 cm. What is its width (in cm)?
  22. 22.A rectangular field is 55 m long and 45 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
  24. 24.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
  26. 26.From a rectangle 12 cm long and 9 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.A wall is 4 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.A wall is 12 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.The perimeter of a rectangle is 42 cm and its length is 11 cm. What is its width (in cm)?
  30. 30.A wall is 3 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.The perimeter of a rectangle is 62 cm and its length is 21 cm. What is its width (in cm)?
  32. 32.A rectangular field is 90 m long and 70 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.The perimeter of a rectangle is 62 cm and its length is 23 cm. What is its width (in cm)?
  34. 34.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
  35. 35.A wall is 12 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.A square has a perimeter of 56 cm. What is its area (in square cm)?
  37. 37.The perimeter of a rectangle is 26 cm and its length is 11 cm. What is its width (in cm)?
  38. 38.A rectangular field is 90 m long and 20 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.Each side of a regular hexagon is 25 cm. What is its perimeter (in cm)?
  40. 40.From a rectangle 19 cm long and 12 cm wide, a rectangle 14 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 4840
  2. 1620
  3. 64
  4. 5
  5. 2
  6. 3600
  7. 1210
  8. 13
  9. 115
  10. 96
  11. 112
  12. 65
  13. 720
  14. 72
  15. 82
  16. 30
  17. 960
  18. 177
  19. 12
  20. 6
  21. 6
  22. 1800
  23. 48
  24. 450
  25. 18
  26. 92
  27. 700
  28. 1620
  29. 10
  30. 540
  31. 10
  32. 5440
  33. 8
  34. 50
  35. 1800
  36. 196
  37. 2
  38. 2200
  39. 150
  40. 158

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