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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 620 · 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 80 m long and 45 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.A rectangular field is 75 m long and 25 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.A square has a perimeter of 20 cm. What is its area (in square cm)?
  4. 4.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
  5. 5.A square has a perimeter of 76 cm. What is its area (in square cm)?
  6. 6.A wall is 3 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.From a rectangle 12 cm long and 10 cm wide, a rectangle 5 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.From a rectangle 8 cm long and 12 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  9. 9.A square has a perimeter of 16 cm. What is its area (in square cm)?
  10. 10.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
  11. 11.The perimeter of a rectangle is 104 cm and its length is 30 cm. What is its width (in cm)?
  12. 12.A rectangular field is 95 m long and 60 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A square has a perimeter of 28 cm. What is its area (in square cm)?
  14. 14.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
  15. 15.The perimeter of a rectangle is 46 cm and its length is 12 cm. What is its width (in cm)?
  16. 16.A wall is 9 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.From a rectangle 8 cm long and 14 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.A wall is 3 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
  21. 21.The perimeter of a rectangle is 74 cm and its length is 30 cm. What is its width (in cm)?
  22. 22.A wall is 12 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.A rectangular field is 90 m long and 45 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A wall is 8 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.A square has a perimeter of 68 cm. What is its area (in square cm)?
  26. 26.A rectangular field is 95 m long and 45 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.A wall is 4 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
  29. 29.Each side of a square is 8 cm. What is its perimeter (in cm)?
  30. 30.From a rectangle 6 cm long and 13 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
  33. 33.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  34. 34.A square has a perimeter of 56 cm. What is its area (in square cm)?
  35. 35.The perimeter of a rectangle is 78 cm and its length is 22 cm. What is its width (in cm)?
  36. 36.A wall is 7 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.A rectangular field is 80 m long and 60 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.The perimeter of a rectangle is 44 cm and its length is 20 cm. What is its width (in cm)?
  39. 39.The perimeter of a rectangle is 34 cm and its length is 12 cm. What is its width (in cm)?
  40. 40.Each side of a regular pentagon is 21 cm. What is its perimeter (in cm)?

Answer key

  1. 6000
  2. 3800
  3. 25
  4. 33
  5. 361
  6. 750
  7. 85
  8. 87
  9. 16
  10. 108
  11. 22
  12. 5580
  13. 49
  14. 3
  15. 11
  16. 810
  17. 103
  18. 1800
  19. 270
  20. 160
  21. 7
  22. 1800
  23. 6480
  24. 400
  25. 289
  26. 4760
  27. 180
  28. 115
  29. 32
  30. 77
  31. 660
  32. 96
  33. 12
  34. 196
  35. 17
  36. 1400
  37. 5320
  38. 2
  39. 5
  40. 105

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