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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 293 · 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 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)?
  2. 2.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
  4. 4.The perimeter of a rectangle is 74 cm and its length is 19 cm. What is its width (in cm)?
  5. 5.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  6. 6.The perimeter of a rectangle is 24 cm and its length is 9 cm. What is its width (in cm)?
  7. 7.The perimeter of a rectangle is 28 cm and its length is 9 cm. What is its width (in cm)?
  8. 8.From a rectangle 11 cm long and 5 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  9. 9.A wall is 4 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.From a rectangle 6 cm long and 13 cm wide, a rectangle 3 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  11. 11.A wall is 9 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A square has a perimeter of 72 cm. What is its area (in square cm)?
  13. 13.A square has a perimeter of 56 cm. What is its area (in square cm)?
  14. 14.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
  15. 15.A square has a perimeter of 68 cm. What is its area (in square cm)?
  16. 16.From a rectangle 16 cm long and 12 cm wide, a rectangle 12 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.From a rectangle 15 cm long and 9 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)?
  18. 18.A rectangular field is 80 m long and 40 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.A wall is 12 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.A square has a perimeter of 24 cm. What is its area (in square cm)?
  21. 21.Each side of a square is 8 cm. What is its perimeter (in cm)?
  22. 22.From a rectangle 14 cm long and 8 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)?
  23. 23.A square has a perimeter of 36 cm. What is its area (in square cm)?
  24. 24.From a rectangle 11 cm long and 12 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.From a rectangle 11 cm long and 7 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)?
  26. 26.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.A square has a perimeter of 64 cm. What is its area (in square cm)?
  28. 28.From a rectangle 18 cm long and 13 cm wide, a rectangle 5 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.A wall is 3 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.A wall is 11 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.A square has a perimeter of 60 cm. What is its area (in square cm)?
  32. 32.From a rectangle 7 cm long and 10 cm wide, a rectangle 4 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.A wall is 11 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.The perimeter of a rectangle is 76 cm and its length is 25 cm. What is its width (in cm)?
  35. 35.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
  37. 37.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
  38. 38.A wall is 10 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.From a rectangle 6 cm long and 5 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)?

Answer key

  1. 46
  2. 720
  3. 108
  4. 18
  5. 42
  6. 3
  7. 5
  8. 48
  9. 80
  10. 45
  11. 900
  12. 324
  13. 196
  14. 66
  15. 289
  16. 156
  17. 111
  18. 2400
  19. 360
  20. 36
  21. 32
  22. 94
  23. 81
  24. 126
  25. 68
  26. 420
  27. 256
  28. 199
  29. 120
  30. 1485
  31. 225
  32. 42
  33. 2970
  34. 13
  35. 1600
  36. 12
  37. 48
  38. 600
  39. 300
  40. 21

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