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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 519 · 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 rectangular field is 30 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
  3. 3.A wall is 6 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.The perimeter of a rectangle is 42 cm and its length is 13 cm. What is its width (in cm)?
  5. 5.From a rectangle 20 cm long and 8 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.A wall is 4 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
  8. 8.Each side of a square is 8 cm. What is its perimeter (in cm)?
  9. 9.The perimeter of a rectangle is 66 cm and its length is 29 cm. What is its width (in cm)?
  10. 10.A rectangular field is 90 m long and 75 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.From a rectangle 13 cm long and 8 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)?
  12. 12.A wall is 3 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
  14. 14.Each side of a square is 11 cm. What is its perimeter (in cm)?
  15. 15.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
  16. 16.A rectangular field is 70 m long and 35 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.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 ₹)?
  18. 18.Each side of a square is 21 cm. What is its perimeter (in cm)?
  19. 19.From a rectangle 7 cm long and 6 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)?
  20. 20.A square has a perimeter of 16 cm. What is its area (in square cm)?
  21. 21.From a rectangle 17 cm long and 6 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.From a rectangle 6 cm long and 5 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.Each side of a square is 14 cm. What is its perimeter (in cm)?
  24. 24.A square has a perimeter of 32 cm. What is its area (in square cm)?
  25. 25.From a rectangle 15 cm long and 6 cm wide, a rectangle 9 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.Each side of a square is 18 cm. What is its perimeter (in cm)?
  27. 27.A square has a perimeter of 80 cm. What is its area (in square cm)?
  28. 28.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
  29. 29.A square has a perimeter of 64 cm. What is its area (in square cm)?
  30. 30.A square has a perimeter of 12 cm. What is its area (in square cm)?
  31. 31.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.A rectangular field is 50 m long and 40 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.Each side of a square is 19 cm. What is its perimeter (in cm)?
  34. 34.A rectangular field is 80 m long and 40 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.Each side of a square is 5 cm. What is its perimeter (in cm)?
  36. 36.From a rectangle 12 cm long and 10 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
  38. 38.The perimeter of a rectangle is 36 cm and its length is 12 cm. What is its width (in cm)?
  39. 39.From a rectangle 9 cm long and 13 cm wide, a rectangle 6 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.From a rectangle 15 cm long and 10 cm wide, a rectangle 10 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 1800
  2. 75
  3. 360
  4. 8
  5. 145
  6. 500
  7. 108
  8. 32
  9. 4
  10. 1980
  11. 100
  12. 600
  13. 48
  14. 44
  15. 144
  16. 2730
  17. 240
  18. 84
  19. 38
  20. 16
  21. 97
  22. 27
  23. 56
  24. 64
  25. 63
  26. 72
  27. 400
  28. 45
  29. 256
  30. 9
  31. 1120
  32. 1260
  33. 76
  34. 3840
  35. 20
  36. 114
  37. 66
  38. 6
  39. 69
  40. 140

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