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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 653 · 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 8 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.From a rectangle 6 cm long and 13 cm wide, a rectangle 3 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  3. 3.A square has a perimeter of 16 cm. What is its area (in square cm)?
  4. 4.Each side of a square is 10 cm. What is its perimeter (in cm)?
  5. 5.From a rectangle 12 cm long and 14 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)?
  6. 6.A square has a perimeter of 80 cm. What is its area (in square cm)?
  7. 7.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
  8. 8.The perimeter of a rectangle is 64 cm and its length is 19 cm. What is its width (in cm)?
  9. 9.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
  10. 10.A square has a perimeter of 12 cm. What is its area (in square cm)?
  11. 11.A rectangular field is 75 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.A rectangular field is 80 m long and 50 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.From a rectangle 11 cm long and 6 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)?
  14. 14.A rectangular field is 90 m long and 75 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.A rectangular field is 60 m long and 55 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.The perimeter of a rectangle is 60 cm and its length is 16 cm. What is its width (in cm)?
  17. 17.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
  18. 18.The perimeter of a rectangle is 74 cm and its length is 30 cm. What is its width (in cm)?
  19. 19.A wall is 4 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.A wall is 4 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
  22. 22.A wall is 12 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.A square has a perimeter of 24 cm. What is its area (in square cm)?
  24. 24.The perimeter of a rectangle is 118 cm and its length is 30 cm. What is its width (in cm)?
  25. 25.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
  26. 26.From a rectangle 8 cm long and 5 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.A rectangular field is 60 m long and 55 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
  29. 29.A wall is 12 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.The perimeter of a rectangle is 32 cm and its length is 10 cm. What is its width (in cm)?
  31. 31.From a rectangle 12 cm long and 12 cm wide, a rectangle 10 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.A wall is 10 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.A square has a perimeter of 28 cm. What is its area (in square cm)?
  34. 34.A wall is 9 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
  36. 36.From a rectangle 18 cm long and 8 cm wide, a rectangle 9 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.A square has a perimeter of 64 cm. What is its area (in square cm)?
  38. 38.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  39. 39.From a rectangle 20 cm long and 8 cm wide, a rectangle 16 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?

Answer key

  1. 240
  2. 48
  3. 16
  4. 40
  5. 160
  6. 400
  7. 65
  8. 13
  9. 33
  10. 9
  11. 3060
  12. 3900
  13. 51
  14. 5610
  15. 1840
  16. 14
  17. 75
  18. 7
  19. 160
  20. 1000
  21. 120
  22. 1200
  23. 36
  24. 29
  25. 36
  26. 28
  27. 2990
  28. 128
  29. 480
  30. 6
  31. 44
  32. 1000
  33. 49
  34. 945
  35. 72
  36. 108
  37. 256
  38. 21
  39. 96
  40. 120

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