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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 168 · 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 13 cm long and 11 cm wide, a rectangle 2 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
  3. 3.From a rectangle 14 cm long and 12 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)?
  4. 4.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
  5. 5.A square has a perimeter of 64 cm. What is its area (in square cm)?
  6. 6.A wall is 11 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.The perimeter of a rectangle is 82 cm and its length is 24 cm. What is its width (in cm)?
  8. 8.From a rectangle 12 cm long and 5 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)?
  9. 9.Each side of a square is 16 cm. What is its perimeter (in cm)?
  10. 10.From a rectangle 12 cm long and 5 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  11. 11.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.The perimeter of a rectangle is 98 cm and its length is 30 cm. What is its width (in cm)?
  14. 14.A wall is 4 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.A square has a perimeter of 44 cm. What is its area (in square cm)?
  16. 16.A square has a perimeter of 40 cm. What is its area (in square cm)?
  17. 17.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
  18. 18.A wall is 10 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.The perimeter of a rectangle is 60 cm and its length is 28 cm. What is its width (in cm)?
  20. 20.A wall is 9 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.A wall is 5 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.From a rectangle 18 cm long and 7 cm wide, a rectangle 15 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.A square has a perimeter of 24 cm. What is its area (in square cm)?
  24. 24.Each side of a square is 3 cm. What is its perimeter (in cm)?
  25. 25.From a rectangle 13 cm long and 15 cm wide, a rectangle 10 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 18 cm long and 7 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.A square has a perimeter of 12 cm. What is its area (in square cm)?
  28. 28.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
  29. 29.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
  30. 30.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 ₹)?
  31. 31.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
  32. 32.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A wall is 4 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.A wall is 6 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.From a rectangle 8 cm long and 9 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)?
  36. 36.A square has a perimeter of 56 cm. What is its area (in square cm)?
  37. 37.The perimeter of a rectangle is 50 cm and its length is 19 cm. What is its width (in cm)?
  38. 38.A wall is 8 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.A square has a perimeter of 60 cm. What is its area (in square cm)?
  40. 40.The perimeter of a rectangle is 56 cm and its length is 21 cm. What is its width (in cm)?

Answer key

  1. 129
  2. 54
  3. 165
  4. 27
  5. 256
  6. 2475
  7. 17
  8. 39
  9. 64
  10. 44
  11. 420
  12. 640
  13. 19
  14. 400
  15. 121
  16. 100
  17. 30
  18. 700
  19. 2
  20. 1890
  21. 1050
  22. 51
  23. 36
  24. 12
  25. 185
  26. 123
  27. 9
  28. 126
  29. 104
  30. 405
  31. 132
  32. 1950
  33. 360
  34. 1440
  35. 71
  36. 196
  37. 6
  38. 640
  39. 225
  40. 7

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