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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 565 · 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 30 m long and 20 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
  3. 3.The perimeter of a rectangle is 20 cm and its length is 8 cm. What is its width (in cm)?
  4. 4.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.A square has a perimeter of 68 cm. What is its area (in square cm)?
  6. 6.A rectangular field is 55 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.From a rectangle 14 cm long and 11 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.Each side of a regular octagon is 25 cm. What is its perimeter (in cm)?
  9. 9.A square has a perimeter of 44 cm. What is its area (in square cm)?
  10. 10.A wall is 8 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.A square has a perimeter of 24 cm. What is its area (in square cm)?
  12. 12.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
  13. 13.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
  14. 14.A rectangular field is 85 m long and 55 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.From a rectangle 6 cm long and 15 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.A square has a perimeter of 56 cm. What is its area (in square cm)?
  18. 18.The perimeter of a rectangle is 22 cm and its length is 9 cm. What is its width (in cm)?
  19. 19.A wall is 9 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A square has a perimeter of 8 cm. What is its area (in square cm)?
  22. 22.A wall is 4 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.From a rectangle 14 cm long and 12 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.A wall is 4 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.A rectangular field is 55 m long and 40 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.A square has a perimeter of 20 cm. What is its area (in square cm)?
  27. 27.The perimeter of a rectangle is 24 cm and its length is 10 cm. What is its width (in cm)?
  28. 28.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
  29. 29.A rectangular field is 55 m long and 45 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.The perimeter of a rectangle is 66 cm and its length is 24 cm. What is its width (in cm)?
  32. 32.The perimeter of a rectangle is 60 cm and its length is 20 cm. What is its width (in cm)?
  33. 33.A square has a perimeter of 36 cm. What is its area (in square cm)?
  34. 34.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 ₹)?
  35. 35.A wall is 6 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.From a rectangle 7 cm long and 13 cm wide, a rectangle 3 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.From a rectangle 13 cm long and 12 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)?
  39. 39.A wall is 5 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?

Answer key

  1. 1600
  2. 15
  3. 2
  4. 2760
  5. 289
  6. 1680
  7. 150
  8. 200
  9. 121
  10. 1200
  11. 36
  12. 54
  13. 35
  14. 6720
  15. 86
  16. 700
  17. 196
  18. 2
  19. 360
  20. 960
  21. 4
  22. 200
  23. 163
  24. 120
  25. 3610
  26. 25
  27. 2
  28. 51
  29. 2600
  30. 2730
  31. 9
  32. 10
  33. 81
  34. 1140
  35. 420
  36. 1680
  37. 64
  38. 141
  39. 600
  40. 57

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