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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 629 · 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 9 cm long and 5 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)?
  2. 2.From a rectangle 12 cm long and 8 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)?
  3. 3.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
  4. 4.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
  5. 5.The perimeter of a rectangle is 44 cm and its length is 13 cm. What is its width (in cm)?
  6. 6.From a rectangle 9 cm long and 5 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
  8. 8.A wall is 7 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.The perimeter of a rectangle is 36 cm and its length is 14 cm. What is its width (in cm)?
  10. 10.A square has a perimeter of 16 cm. What is its area (in square cm)?
  11. 11.A square has a perimeter of 80 cm. What is its area (in square cm)?
  12. 12.A rectangular field is 85 m long and 40 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.Each side of a square is 3 cm. What is its perimeter (in cm)?
  14. 14.The perimeter of a rectangle is 50 cm and its length is 21 cm. What is its width (in cm)?
  15. 15.The perimeter of a rectangle is 72 cm and its length is 30 cm. What is its width (in cm)?
  16. 16.From a rectangle 12 cm long and 11 cm wide, a rectangle 9 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.A square has a perimeter of 68 cm. What is its area (in square cm)?
  18. 18.From a rectangle 13 cm long and 15 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)?
  19. 19.From a rectangle 10 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)?
  20. 20.A rectangular field is 80 m long and 55 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.From a rectangle 20 cm long and 6 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?
  23. 23.A rectangular field is 50 m long and 20 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A rectangular field is 75 m long and 70 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.A wall is 11 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.A wall is 12 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  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 64 cm. What is its area (in square cm)?
  30. 30.The perimeter of a rectangle is 52 cm and its length is 14 cm. What is its width (in cm)?
  31. 31.A rectangular field is 60 m long and 55 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.The perimeter of a rectangle is 76 cm and its length is 24 cm. What is its width (in cm)?
  33. 33.The perimeter of a rectangle is 78 cm and its length is 23 cm. What is its width (in cm)?
  34. 34.A square has a perimeter of 36 cm. What is its area (in square cm)?
  35. 35.A square has a perimeter of 44 cm. What is its area (in square cm)?
  36. 36.Each side of a square is 9 cm. What is its perimeter (in cm)?
  37. 37.A square has a perimeter of 12 cm. What is its area (in square cm)?
  38. 38.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
  39. 39.The perimeter of a rectangle is 78 cm and its length is 29 cm. What is its width (in cm)?
  40. 40.The perimeter of a rectangle is 50 cm and its length is 15 cm. What is its width (in cm)?

Answer key

  1. 42
  2. 90
  3. 27
  4. 50
  5. 9
  6. 41
  7. 32
  8. 1470
  9. 4
  10. 16
  11. 400
  12. 2000
  13. 12
  14. 4
  15. 6
  16. 60
  17. 289
  18. 186
  19. 48
  20. 3240
  21. 112
  22. 90
  23. 3080
  24. 4060
  25. 3300
  26. 700
  27. 1800
  28. 11
  29. 256
  30. 12
  31. 2070
  32. 14
  33. 16
  34. 81
  35. 121
  36. 36
  37. 9
  38. 64
  39. 10
  40. 10

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