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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 38 · 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.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
  2. 2.Each side of a regular octagon is 15 cm. What is its perimeter (in cm)?
  3. 3.From a rectangle 6 cm long and 6 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)?
  4. 4.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.From a rectangle 16 cm long and 7 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)?
  6. 6.From a rectangle 9 cm long and 10 cm wide, a rectangle 5 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.From a rectangle 11 cm long and 11 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)?
  8. 8.A wall is 12 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.The perimeter of a rectangle is 20 cm and its length is 8 cm. What is its width (in cm)?
  11. 11.The perimeter of a rectangle is 72 cm and its length is 26 cm. What is its width (in cm)?
  12. 12.A rectangular field is 100 m long and 65 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A wall is 7 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.Each side of a square is 18 cm. What is its perimeter (in cm)?
  16. 16.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
  17. 17.The perimeter of a rectangle is 30 cm and its length is 12 cm. What is its width (in cm)?
  18. 18.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
  19. 19.The perimeter of a rectangle is 18 cm and its length is 7 cm. What is its width (in cm)?
  20. 20.A wall is 9 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.From a rectangle 6 cm long and 14 cm wide, a rectangle 1 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
  23. 23.A wall is 10 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.From a rectangle 16 cm long and 14 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.The perimeter of a rectangle is 68 cm and its length is 18 cm. What is its width (in cm)?
  26. 26.Each side of a square is 20 cm. What is its perimeter (in cm)?
  27. 27.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
  28. 28.The perimeter of a rectangle is 68 cm and its length is 27 cm. What is its width (in cm)?
  29. 29.A square has a perimeter of 56 cm. What is its area (in square cm)?
  30. 30.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
  31. 31.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
  32. 32.A rectangular field is 65 m long and 20 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.The perimeter of a rectangle is 28 cm and its length is 11 cm. What is its width (in cm)?
  34. 34.A rectangular field is 60 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.A square has a perimeter of 12 cm. What is its area (in square cm)?
  36. 36.A wall is 9 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.From a rectangle 8 cm long and 15 cm wide, a rectangle 1 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
  39. 39.Each side of a regular octagon is 25 cm. What is its perimeter (in cm)?
  40. 40.A rectangular field is 95 m long and 90 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 39
  2. 120
  3. 33
  4. 1210
  5. 85
  6. 50
  7. 118
  8. 600
  9. 770
  10. 2
  11. 10
  12. 7590
  13. 1200
  14. 315
  15. 72
  16. 18
  17. 3
  18. 3
  19. 2
  20. 1080
  21. 76
  22. 24
  23. 2000
  24. 222
  25. 16
  26. 80
  27. 75
  28. 7
  29. 196
  30. 63
  31. 57
  32. 2890
  33. 3
  34. 3150
  35. 9
  36. 720
  37. 109
  38. 42
  39. 200
  40. 6290

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