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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 590 · 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 wall is 11 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.From a rectangle 16 cm long and 14 cm wide, a rectangle 12 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  3. 3.From a rectangle 18 cm long and 8 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
  5. 5.The perimeter of a rectangle is 42 cm and its length is 18 cm. What is its width (in cm)?
  6. 6.A wall is 9 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
  8. 8.A wall is 9 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.From a rectangle 9 cm long and 9 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?
  11. 11.A rectangular field is 75 m long and 30 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  13. 13.A rectangular field is 60 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.From a rectangle 7 cm long and 9 cm wide, a rectangle 3 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  15. 15.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
  16. 16.Each side of a square is 10 cm. What is its perimeter (in cm)?
  17. 17.A wall is 7 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.From a rectangle 9 cm long and 10 cm wide, a rectangle 7 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.A square has a perimeter of 44 cm. What is its area (in square cm)?
  20. 20.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
  21. 21.A wall is 6 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.Each side of a square is 20 cm. What is its perimeter (in cm)?
  23. 23.A wall is 3 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.A square has a perimeter of 76 cm. What is its area (in square cm)?
  25. 25.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.A square has a perimeter of 16 cm. What is its area (in square cm)?
  27. 27.From a rectangle 7 cm long and 11 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)?
  28. 28.The perimeter of a rectangle is 30 cm and its length is 9 cm. What is its width (in cm)?
  29. 29.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
  30. 30.A square has a perimeter of 32 cm. What is its area (in square cm)?
  31. 31.Each side of a square is 18 cm. What is its perimeter (in cm)?
  32. 32.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  33. 33.A rectangular field is 80 m long and 75 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.Each side of a square is 4 cm. What is its perimeter (in cm)?
  35. 35.Each side of a regular hexagon is 19 cm. What is its perimeter (in cm)?
  36. 36.From a rectangle 10 cm long and 9 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
  38. 38.From a rectangle 6 cm long and 11 cm wide, a rectangle 1 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.A wall is 8 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.From a rectangle 14 cm long and 9 cm wide, a rectangle 12 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 330
  2. 200
  3. 134
  4. 112
  5. 3
  6. 405
  7. 4
  8. 270
  9. 79
  10. 20
  11. 3780
  12. 25
  13. 1680
  14. 45
  15. 72
  16. 40
  17. 1260
  18. 55
  19. 121
  20. 96
  21. 360
  22. 80
  23. 135
  24. 361
  25. 1200
  26. 16
  27. 62
  28. 6
  29. 18
  30. 64
  31. 72
  32. 42
  33. 7750
  34. 16
  35. 114
  36. 78
  37. 40
  38. 58
  39. 480
  40. 66

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