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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 183 · 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 square has a perimeter of 72 cm. What is its area (in square cm)?
  2. 2.A square has a perimeter of 16 cm. What is its area (in square cm)?
  3. 3.From a rectangle 9 cm long and 5 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)?
  4. 4.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  5. 5.The perimeter of a rectangle is 82 cm and its length is 28 cm. What is its width (in cm)?
  6. 6.The perimeter of a rectangle is 54 cm and its length is 16 cm. What is its width (in cm)?
  7. 7.A wall is 8 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.Each side of a regular pentagon is 19 cm. What is its perimeter (in cm)?
  9. 9.A square has a perimeter of 24 cm. What is its area (in square cm)?
  10. 10.The perimeter of a rectangle is 26 cm and its length is 9 cm. What is its width (in cm)?
  11. 11.The perimeter of a rectangle is 42 cm and its length is 18 cm. What is its width (in cm)?
  12. 12.A rectangular field is 95 m long and 45 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
  14. 14.A wall is 8 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.From a rectangle 15 cm long and 10 cm wide, a rectangle 12 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.A wall is 9 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.The perimeter of a rectangle is 56 cm and its length is 23 cm. What is its width (in cm)?
  18. 18.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
  20. 20.From a rectangle 7 cm long and 6 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)?
  21. 21.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
  23. 23.A square has a perimeter of 80 cm. What is its area (in square cm)?
  24. 24.The perimeter of a rectangle is 44 cm and its length is 13 cm. What is its width (in cm)?
  25. 25.The perimeter of a rectangle is 38 cm and its length is 15 cm. What is its width (in cm)?
  26. 26.The perimeter of a rectangle is 38 cm and its length is 14 cm. What is its width (in cm)?
  27. 27.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A wall is 11 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.The perimeter of a rectangle is 70 cm and its length is 18 cm. What is its width (in cm)?
  31. 31.From a rectangle 15 cm long and 14 cm wide, a rectangle 10 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.A wall is 7 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.A wall is 5 m long and 2 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 40 cm and its length is 15 cm. What is its width (in cm)?
  35. 35.The perimeter of a rectangle is 28 cm and its length is 10 cm. What is its width (in cm)?
  36. 36.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
  37. 37.Each side of a square is 19 cm. What is its perimeter (in cm)?
  38. 38.A wall is 7 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.From a rectangle 15 cm long and 15 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)?
  40. 40.From a rectangle 8 cm long and 6 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)?

Answer key

  1. 324
  2. 16
  3. 39
  4. 42
  5. 13
  6. 11
  7. 720
  8. 95
  9. 36
  10. 4
  11. 3
  12. 1960
  13. 33
  14. 480
  15. 138
  16. 540
  17. 5
  18. 1530
  19. 45
  20. 39
  21. 1210
  22. 75
  23. 400
  24. 9
  25. 4
  26. 5
  27. 1260
  28. 1980
  29. 1430
  30. 17
  31. 120
  32. 1050
  33. 450
  34. 5
  35. 4
  36. 102
  37. 76
  38. 140
  39. 210
  40. 45

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