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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 683 · 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 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?
  3. 3.The perimeter of a rectangle is 54 cm and its length is 20 cm. What is its width (in cm)?
  4. 4.The perimeter of a rectangle is 38 cm and its length is 16 cm. What is its width (in cm)?
  5. 5.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.A rectangular field is 65 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.A rectangular field is 100 m long and 25 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.A square has a perimeter of 72 cm. What is its area (in square cm)?
  9. 9.Each side of a square is 17 cm. What is its perimeter (in cm)?
  10. 10.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
  11. 11.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.From a rectangle 10 cm long and 15 cm wide, a rectangle 8 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  13. 13.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
  14. 14.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.The perimeter of a rectangle is 92 cm and its length is 26 cm. What is its width (in cm)?
  16. 16.A rectangular field is 100 m long and 45 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.From a rectangle 16 cm long and 11 cm wide, a rectangle 11 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.From a rectangle 7 cm long and 6 cm wide, a rectangle 5 cm by 1 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 42 cm and its length is 17 cm. What is its width (in cm)?
  20. 20.A wall is 3 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.The perimeter of a rectangle is 22 cm and its length is 8 cm. What is its width (in cm)?
  22. 22.A square has a perimeter of 80 cm. What is its area (in square cm)?
  23. 23.The perimeter of a rectangle is 30 cm and its length is 9 cm. What is its width (in cm)?
  24. 24.A square has a perimeter of 12 cm. What is its area (in square cm)?
  25. 25.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
  26. 26.A wall is 5 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.A square has a perimeter of 64 cm. What is its area (in square cm)?
  28. 28.A square has a perimeter of 48 cm. What is its area (in square cm)?
  29. 29.A wall is 9 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.The perimeter of a rectangle is 62 cm and its length is 27 cm. What is its width (in cm)?
  31. 31.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
  34. 34.A square has a perimeter of 8 cm. What is its area (in square cm)?
  35. 35.A wall is 3 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.Each side of a square is 5 cm. What is its perimeter (in cm)?
  38. 38.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
  39. 39.A square has a perimeter of 20 cm. What is its area (in square cm)?
  40. 40.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 ₹)?

Answer key

  1. 1870
  2. 20
  3. 7
  4. 3
  5. 550
  6. 2250
  7. 2750
  8. 324
  9. 68
  10. 120
  11. 1520
  12. 118
  13. 104
  14. 600
  15. 20
  16. 1450
  17. 110
  18. 37
  19. 4
  20. 180
  21. 3
  22. 400
  23. 6
  24. 9
  25. 45
  26. 875
  27. 256
  28. 144
  29. 540
  30. 4
  31. 360
  32. 3360
  33. 120
  34. 4
  35. 300
  36. 1140
  37. 20
  38. 42
  39. 25
  40. 720

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