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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 322 · 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 54 cm and its length is 24 cm. What is its width (in cm)?
  2. 2.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
  3. 3.From a rectangle 9 cm long and 8 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)?
  4. 4.The perimeter of a rectangle is 34 cm and its length is 14 cm. What is its width (in cm)?
  5. 5.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 ₹)?
  6. 6.A rectangular field is 55 m long and 30 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.A wall is 8 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.A wall is 9 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.The perimeter of a rectangle is 60 cm and its length is 25 cm. What is its width (in cm)?
  10. 10.A square has a perimeter of 44 cm. What is its area (in square cm)?
  11. 11.A square has a perimeter of 8 cm. What is its area (in square cm)?
  12. 12.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  13. 13.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
  16. 16.The perimeter of a rectangle is 62 cm and its length is 17 cm. What is its width (in cm)?
  17. 17.A rectangular field is 100 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.A rectangular field is 95 m long and 90 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.The perimeter of a rectangle is 24 cm and its length is 8 cm. What is its width (in cm)?
  21. 21.The perimeter of a rectangle is 26 cm and its length is 8 cm. What is its width (in cm)?
  22. 22.The perimeter of a rectangle is 28 cm and its length is 10 cm. What is its width (in cm)?
  23. 23.A wall is 8 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.A square has a perimeter of 52 cm. What is its area (in square cm)?
  25. 25.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
  26. 26.A square has a perimeter of 56 cm. What is its area (in square cm)?
  27. 27.From a rectangle 20 cm long and 7 cm wide, a rectangle 6 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.From a rectangle 9 cm long and 14 cm wide, a rectangle 7 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.A square has a perimeter of 48 cm. What is its area (in square cm)?
  30. 30.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
  31. 31.A rectangular field is 95 m long and 30 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.From a rectangle 15 cm long and 12 cm wide, a rectangle 10 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.Each side of a square is 15 cm. What is its perimeter (in cm)?
  35. 35.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
  36. 36.From a rectangle 9 cm long and 12 cm wide, a rectangle 6 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.A rectangular field is 100 m long and 65 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
  39. 39.From a rectangle 6 cm long and 8 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.Each side of a square is 11 cm. What is its perimeter (in cm)?

Answer key

  1. 3
  2. 120
  3. 52
  4. 3
  5. 700
  6. 1360
  7. 800
  8. 630
  9. 5
  10. 121
  11. 4
  12. 12
  13. 1680
  14. 1470
  15. 15
  16. 14
  17. 4830
  18. 4440
  19. 1920
  20. 4
  21. 5
  22. 4
  23. 320
  24. 169
  25. 168
  26. 196
  27. 110
  28. 56
  29. 144
  30. 56
  31. 6000
  32. 120
  33. 3200
  34. 60
  35. 3
  36. 78
  37. 2640
  38. 152
  39. 40
  40. 44

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