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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 264 · 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 38 cm and its length is 12 cm. What is its width (in cm)?
  2. 2.A rectangular field is 100 m long and 65 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
  4. 4.A rectangular field is 95 m long and 60 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.A square has a perimeter of 28 cm. What is its area (in square cm)?
  6. 6.A rectangular field is 95 m long and 45 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.The perimeter of a rectangle is 44 cm and its length is 13 cm. What is its width (in cm)?
  8. 8.Each side of a square is 21 cm. What is its perimeter (in cm)?
  9. 9.Each side of a square is 17 cm. What is its perimeter (in cm)?
  10. 10.A wall is 11 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.The perimeter of a rectangle is 76 cm and its length is 26 cm. What is its width (in cm)?
  13. 13.A rectangular field is 70 m long and 65 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.From a rectangle 9 cm long and 8 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)?
  15. 15.From a rectangle 13 cm long and 8 cm wide, a rectangle 10 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.The perimeter of a rectangle is 76 cm and its length is 27 cm. What is its width (in cm)?
  17. 17.A square has a perimeter of 20 cm. What is its area (in square cm)?
  18. 18.From a rectangle 15 cm long and 5 cm wide, a rectangle 11 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.A rectangular field is 80 m long and 20 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A wall is 6 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.A wall is 4 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A rectangular field is 70 m long and 20 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.A rectangular field is 65 m long and 25 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
  25. 25.Each side of a square is 13 cm. What is its perimeter (in cm)?
  26. 26.A square has a perimeter of 36 cm. What is its area (in square cm)?
  27. 27.A square has a perimeter of 76 cm. What is its area (in square cm)?
  28. 28.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  29. 29.The perimeter of a rectangle is 28 cm and its length is 10 cm. What is its width (in cm)?
  30. 30.A wall is 5 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.From a rectangle 9 cm long and 5 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.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 ₹)?
  33. 33.From a rectangle 20 cm long and 11 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)?
  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 6 cm long and 11 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
  37. 37.From a rectangle 12 cm long and 14 cm wide, a rectangle 9 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.A square has a perimeter of 24 cm. What is its area (in square cm)?
  39. 39.From a rectangle 15 cm long and 7 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.The perimeter of a rectangle is 74 cm and its length is 21 cm. What is its width (in cm)?

Answer key

  1. 7
  2. 8250
  3. 5
  4. 7750
  5. 49
  6. 1680
  7. 9
  8. 84
  9. 68
  10. 1100
  11. 1520
  12. 12
  13. 5130
  14. 36
  15. 64
  16. 11
  17. 25
  18. 64
  19. 5000
  20. 270
  21. 720
  22. 3780
  23. 4320
  24. 15
  25. 52
  26. 81
  27. 361
  28. 12
  29. 4
  30. 350
  31. 39
  32. 400
  33. 216
  34. 560
  35. 54
  36. 65
  37. 141
  38. 36
  39. 97
  40. 16

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