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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 149 · 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.From a rectangle 7 cm long and 7 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
  3. 3.A wall is 9 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.From a rectangle 6 cm long and 7 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)?
  5. 5.From a rectangle 7 cm long and 7 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
  7. 7.A wall is 9 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.A square has a perimeter of 68 cm. What is its area (in square cm)?
  9. 9.From a rectangle 10 cm long and 5 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.A wall is 5 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.From a rectangle 10 cm long and 6 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.A square has a perimeter of 64 cm. What is its area (in square cm)?
  13. 13.A square has a perimeter of 8 cm. What is its area (in square cm)?
  14. 14.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
  15. 15.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
  16. 16.From a rectangle 13 cm long and 6 cm wide, a rectangle 8 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.A rectangular field is 90 m long and 80 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.The perimeter of a rectangle is 86 cm and its length is 28 cm. What is its width (in cm)?
  19. 19.A rectangular field is 90 m long and 35 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.The perimeter of a rectangle is 36 cm and its length is 12 cm. What is its width (in cm)?
  21. 21.A square has a perimeter of 76 cm. What is its area (in square cm)?
  22. 22.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.A square has a perimeter of 56 cm. What is its area (in square cm)?
  24. 24.From a rectangle 10 cm long and 8 cm wide, a rectangle 6 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.From a rectangle 10 cm long and 10 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)?
  26. 26.From a rectangle 6 cm long and 14 cm wide, a rectangle 1 cm by 9 cm is cut out of one corner. What is the area of the shape left (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.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
  31. 31.Each side of a regular octagon is 17 cm. What is its perimeter (in cm)?
  32. 32.A square has a perimeter of 60 cm. What is its area (in square cm)?
  33. 33.The perimeter of a rectangle is 38 cm and its length is 17 cm. What is its width (in cm)?
  34. 34.A square has a perimeter of 36 cm. What is its area (in square cm)?
  35. 35.A wall is 5 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
  37. 37.Each side of a square is 3 cm. What is its perimeter (in cm)?
  38. 38.A wall is 11 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.The perimeter of a rectangle is 40 cm and its length is 11 cm. What is its width (in cm)?
  40. 40.Each side of a square is 20 cm. What is its perimeter (in cm)?

Answer key

  1. 47
  2. 75
  3. 2430
  4. 27
  5. 46
  6. 75
  7. 540
  8. 289
  9. 42
  10. 350
  11. 52
  12. 256
  13. 4
  14. 55
  15. 12
  16. 54
  17. 4080
  18. 15
  19. 4000
  20. 6
  21. 361
  22. 1440
  23. 196
  24. 50
  25. 98
  26. 75
  27. 2
  28. 1260
  29. 2560
  30. 54
  31. 136
  32. 225
  33. 2
  34. 81
  35. 1200
  36. 168
  37. 12
  38. 990
  39. 9
  40. 80

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