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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 366 · 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.From a rectangle 17 cm long and 7 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)?
  3. 3.The perimeter of a rectangle is 28 cm and its length is 10 cm. What is its width (in cm)?
  4. 4.From a rectangle 13 cm long and 7 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)?
  5. 5.From a rectangle 12 cm long and 15 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.From a rectangle 15 cm long and 7 cm wide, a rectangle 11 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.From a rectangle 19 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)?
  8. 8.Each side of a square is 17 cm. What is its perimeter (in cm)?
  9. 9.Each side of a square is 23 cm. What is its perimeter (in cm)?
  10. 10.From a rectangle 20 cm long and 13 cm wide, a rectangle 18 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  11. 11.Each side of a regular pentagon is 20 cm. What is its perimeter (in cm)?
  12. 12.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
  13. 13.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  14. 14.A square has a perimeter of 28 cm. What is its area (in square cm)?
  15. 15.A square has a perimeter of 52 cm. What is its area (in square cm)?
  16. 16.From a rectangle 18 cm long and 5 cm wide, a rectangle 16 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.A wall is 7 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.From a rectangle 12 cm long and 5 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)?
  19. 19.A wall is 3 m long and 4 m high. Painting costs ₹30 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.The perimeter of a rectangle is 72 cm and its length is 27 cm. What is its width (in cm)?
  22. 22.A square has a perimeter of 32 cm. What is its area (in square cm)?
  23. 23.Each side of a square is 19 cm. What is its perimeter (in cm)?
  24. 24.A rectangular field is 75 m long and 65 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?
  26. 26.The perimeter of a rectangle is 96 cm and its length is 25 cm. What is its width (in cm)?
  27. 27.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
  28. 28.The perimeter of a rectangle is 54 cm and its length is 16 cm. What is its width (in cm)?
  29. 29.A square has a perimeter of 40 cm. What is its area (in square cm)?
  30. 30.A square has a perimeter of 20 cm. What is its area (in square cm)?
  31. 31.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.Each side of a regular octagon is 25 cm. What is its perimeter (in cm)?
  33. 33.From a rectangle 15 cm long and 11 cm wide, a rectangle 7 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.The perimeter of a rectangle is 40 cm and its length is 13 cm. What is its width (in cm)?
  35. 35.A rectangular field is 65 m long and 50 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.From a rectangle 20 cm long and 5 cm wide, a rectangle 18 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.A rectangular field is 45 m long and 25 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.A rectangular field is 100 m long and 35 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.From a rectangle 6 cm long and 8 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)?
  40. 40.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 324
  2. 115
  3. 4
  4. 85
  5. 165
  6. 61
  7. 90
  8. 68
  9. 92
  10. 80
  11. 100
  12. 84
  13. 2
  14. 49
  15. 169
  16. 74
  17. 1225
  18. 58
  19. 360
  20. 36
  21. 9
  22. 64
  23. 76
  24. 1400
  25. 20
  26. 23
  27. 54
  28. 11
  29. 100
  30. 25
  31. 840
  32. 200
  33. 116
  34. 7
  35. 2070
  36. 64
  37. 1960
  38. 1620
  39. 46
  40. 480

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