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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 140 · 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 5 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
  3. 3.The perimeter of a rectangle is 94 cm and its length is 24 cm. What is its width (in cm)?
  4. 4.The perimeter of a rectangle is 52 cm and its length is 18 cm. What is its width (in cm)?
  5. 5.The perimeter of a rectangle is 52 cm and its length is 15 cm. What is its width (in cm)?
  6. 6.A wall is 6 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.From a rectangle 17 cm long and 9 cm wide, a rectangle 2 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.From a rectangle 20 cm long and 13 cm wide, a rectangle 4 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  9. 9.From a rectangle 17 cm long and 8 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)?
  10. 10.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
  11. 11.A square has a perimeter of 52 cm. What is its area (in square cm)?
  12. 12.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
  13. 13.From a rectangle 6 cm long and 7 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.Each side of a square is 23 cm. What is its perimeter (in cm)?
  15. 15.Each side of a regular pentagon is 17 cm. What is its perimeter (in cm)?
  16. 16.From a rectangle 15 cm long and 7 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
  18. 18.The perimeter of a rectangle is 90 cm and its length is 26 cm. What is its width (in cm)?
  19. 19.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.From a rectangle 9 cm long and 6 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)?
  21. 21.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
  22. 22.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.A wall is 7 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.From a rectangle 18 cm long and 11 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)?
  25. 25.A square has a perimeter of 40 cm. What is its area (in square cm)?
  26. 26.A square has a perimeter of 44 cm. What is its area (in square cm)?
  27. 27.The perimeter of a rectangle is 74 cm and its length is 23 cm. What is its width (in cm)?
  28. 28.A rectangular field is 80 m long and 35 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A square has a perimeter of 80 cm. What is its area (in square cm)?
  30. 30.A rectangular field is 80 m long and 35 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.From a rectangle 20 cm long and 8 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)?
  32. 32.A square has a perimeter of 16 cm. What is its area (in square cm)?
  33. 33.A square has a perimeter of 48 cm. What is its area (in square cm)?
  34. 34.Each side of a square is 19 cm. What is its perimeter (in cm)?
  35. 35.A square has a perimeter of 72 cm. What is its area (in square cm)?
  36. 36.The perimeter of a rectangle is 44 cm and its length is 18 cm. What is its width (in cm)?
  37. 37.From a rectangle 6 cm long and 14 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)?
  38. 38.The perimeter of a rectangle is 38 cm and its length is 14 cm. What is its width (in cm)?
  39. 39.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
  40. 40.The perimeter of a rectangle is 60 cm and its length is 25 cm. What is its width (in cm)?

Answer key

  1. 200
  2. 4
  3. 23
  4. 8
  5. 11
  6. 1620
  7. 141
  8. 240
  9. 129
  10. 30
  11. 169
  12. 80
  13. 26
  14. 92
  15. 85
  16. 100
  17. 102
  18. 19
  19. 1680
  20. 52
  21. 40
  22. 900
  23. 840
  24. 170
  25. 100
  26. 121
  27. 14
  28. 5290
  29. 400
  30. 2530
  31. 145
  32. 16
  33. 144
  34. 76
  35. 324
  36. 4
  37. 80
  38. 5
  39. 104
  40. 5

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