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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 238 · 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 95 m long and 35 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?
  3. 3.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
  4. 4.The perimeter of a rectangle is 28 cm and its length is 9 cm. What is its width (in cm)?
  5. 5.Each side of a square is 22 cm. What is its perimeter (in cm)?
  6. 6.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
  7. 7.A rectangular field is 60 m long and 40 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.From a rectangle 15 cm long and 7 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  9. 9.A wall is 5 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.A rectangular field is 55 m long and 50 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
  12. 12.A square has a perimeter of 48 cm. What is its area (in square cm)?
  13. 13.A wall is 3 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
  15. 15.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.The perimeter of a rectangle is 26 cm and its length is 9 cm. What is its width (in cm)?
  17. 17.A wall is 12 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
  19. 19.From a rectangle 17 cm long and 5 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)?
  20. 20.The perimeter of a rectangle is 62 cm and its length is 20 cm. What is its width (in cm)?
  21. 21.A wall is 4 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
  23. 23.The perimeter of a rectangle is 62 cm and its length is 19 cm. What is its width (in cm)?
  24. 24.From a rectangle 12 cm long and 13 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)?
  25. 25.A wall is 7 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.A square has a perimeter of 16 cm. What is its area (in square cm)?
  27. 27.A rectangular field is 50 m long and 40 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.The perimeter of a rectangle is 86 cm and its length is 24 cm. What is its width (in cm)?
  29. 29.From a rectangle 11 cm long and 11 cm wide, a rectangle 4 cm by 6 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 68 cm and its length is 24 cm. What is its width (in cm)?
  31. 31.From a rectangle 12 cm long and 6 cm wide, a rectangle 9 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.The perimeter of a rectangle is 40 cm and its length is 12 cm. What is its width (in cm)?
  33. 33.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
  34. 34.A wall is 8 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.From a rectangle 19 cm long and 6 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.From a rectangle 7 cm long and 10 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.Each side of a square is 9 cm. What is its perimeter (in cm)?
  38. 38.A square has a perimeter of 32 cm. What is its area (in square cm)?
  39. 39.From a rectangle 8 cm long and 11 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.From a rectangle 19 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)?

Answer key

  1. 3380
  2. 90
  3. 176
  4. 5
  5. 88
  6. 120
  7. 1800
  8. 103
  9. 200
  10. 4410
  11. 42
  12. 144
  13. 180
  14. 126
  15. 2100
  16. 4
  17. 540
  18. 48
  19. 61
  20. 11
  21. 360
  22. 102
  23. 12
  24. 140
  25. 840
  26. 16
  27. 3780
  28. 19
  29. 97
  30. 10
  31. 36
  32. 8
  33. 57
  34. 560
  35. 104
  36. 55
  37. 36
  38. 64
  39. 86
  40. 198

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