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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 105 · 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 wall is 11 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.A square has a perimeter of 28 cm. What is its area (in square cm)?
  3. 3.A rectangular field is 45 m long and 20 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
  5. 5.From a rectangle 7 cm long and 10 cm wide, a rectangle 2 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.A square has a perimeter of 48 cm. What is its area (in square cm)?
  7. 7.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.A rectangular field is 75 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.A square has a perimeter of 12 cm. What is its area (in square cm)?
  10. 10.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.A rectangular field is 90 m long and 35 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.Each side of a regular hexagon is 19 cm. What is its perimeter (in cm)?
  13. 13.A wall is 12 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.Each side of a square is 4 cm. What is its perimeter (in cm)?
  15. 15.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
  16. 16.A wall is 9 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.From a rectangle 20 cm long and 13 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)?
  18. 18.A wall is 10 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.A wall is 4 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.The perimeter of a rectangle is 94 cm and its length is 26 cm. What is its width (in cm)?
  21. 21.A square has a perimeter of 36 cm. What is its area (in square cm)?
  22. 22.The perimeter of a rectangle is 66 cm and its length is 20 cm. What is its width (in cm)?
  23. 23.From a rectangle 19 cm long and 10 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  25. 25.The perimeter of a rectangle is 94 cm and its length is 28 cm. What is its width (in cm)?
  26. 26.A rectangular field is 75 m long and 65 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.A square has a perimeter of 24 cm. What is its area (in square cm)?
  28. 28.From a rectangle 8 cm long and 15 cm wide, a rectangle 5 cm by 13 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 60 cm. What is its area (in square cm)?
  30. 30.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 ₹)?
  31. 31.A wall is 4 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.A square has a perimeter of 20 cm. What is its area (in square cm)?
  33. 33.The perimeter of a rectangle is 108 cm and its length is 28 cm. What is its width (in cm)?
  34. 34.A wall is 9 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.Each side of a square is 8 cm. What is its perimeter (in cm)?
  36. 36.Each side of a square is 24 cm. What is its perimeter (in cm)?
  37. 37.A square has a perimeter of 32 cm. What is its area (in square cm)?
  38. 38.From a rectangle 10 cm long and 11 cm wide, a rectangle 6 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.A rectangular field is 80 m long and 55 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?

Answer key

  1. 990
  2. 49
  3. 1950
  4. 108
  5. 60
  6. 144
  7. 1840
  8. 1330
  9. 9
  10. 1840
  11. 6250
  12. 114
  13. 360
  14. 16
  15. 112
  16. 900
  17. 256
  18. 900
  19. 400
  20. 21
  21. 81
  22. 13
  23. 175
  24. 36
  25. 19
  26. 7000
  27. 36
  28. 55
  29. 225
  30. 1800
  31. 800
  32. 25
  33. 26
  34. 270
  35. 32
  36. 96
  37. 64
  38. 74
  39. 3240
  40. 63

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