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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 696 · 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.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
  2. 2.From a rectangle 9 cm long and 6 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)?
  3. 3.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
  4. 4.From a rectangle 17 cm long and 11 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  5. 5.Each side of a square is 18 cm. What is its perimeter (in cm)?
  6. 6.A square has a perimeter of 80 cm. What is its area (in square cm)?
  7. 7.From a rectangle 13 cm long and 13 cm wide, a rectangle 3 cm by 7 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 18 cm. What is its perimeter (in cm)?
  9. 9.The perimeter of a rectangle is 36 cm and its length is 15 cm. What is its width (in cm)?
  10. 10.A rectangular field is 95 m long and 80 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.A square has a perimeter of 28 cm. What is its area (in square cm)?
  12. 12.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  13. 13.A rectangular field is 65 m long and 10 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A rectangular field is 75 m long and 65 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.A wall is 4 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
  17. 17.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
  18. 18.The perimeter of a rectangle is 72 cm and its length is 19 cm. What is its width (in cm)?
  19. 19.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 ₹)?
  20. 20.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
  21. 21.A rectangular field is 65 m long and 25 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.A wall is 11 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.From a rectangle 9 cm long and 11 cm wide, a rectangle 7 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.A wall is 12 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.A wall is 11 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.A rectangular field is 80 m long and 45 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.A square has a perimeter of 76 cm. What is its area (in square cm)?
  28. 28.A wall is 12 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
  30. 30.A rectangular field is 80 m long and 35 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.From a rectangle 10 cm long and 5 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)?
  32. 32.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
  33. 33.A rectangular field is 70 m long and 15 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.The perimeter of a rectangle is 54 cm and its length is 16 cm. What is its width (in cm)?
  35. 35.From a rectangle 11 cm long and 10 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)?
  36. 36.A rectangular field is 95 m long and 20 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.From a rectangle 15 cm long and 10 cm wide, a rectangle 7 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.Each side of a square is 20 cm. What is its perimeter (in cm)?
  40. 40.A square has a perimeter of 68 cm. What is its area (in square cm)?

Answer key

  1. 160
  2. 50
  3. 3
  4. 181
  5. 72
  6. 400
  7. 148
  8. 144
  9. 3
  10. 5600
  11. 49
  12. 42
  13. 2850
  14. 2800
  15. 160
  16. 12
  17. 33
  18. 17
  19. 360
  20. 39
  21. 4500
  22. 1100
  23. 78
  24. 1920
  25. 660
  26. 5750
  27. 361
  28. 960
  29. 65
  30. 1150
  31. 46
  32. 64
  33. 4250
  34. 11
  35. 101
  36. 1150
  37. 2850
  38. 129
  39. 80
  40. 289

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