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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 420 · 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 a regular octagon is 4 cm. What is its perimeter (in cm)?
  2. 2.A wall is 11 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.From a rectangle 14 cm long and 6 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.A square has a perimeter of 76 cm. What is its area (in square cm)?
  5. 5.The perimeter of a rectangle is 64 cm and its length is 17 cm. What is its width (in cm)?
  6. 6.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
  7. 7.A wall is 12 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.A square has a perimeter of 8 cm. What is its area (in square cm)?
  9. 9.The perimeter of a rectangle is 34 cm and its length is 12 cm. What is its width (in cm)?
  10. 10.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
  12. 12.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
  13. 13.A wall is 3 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.From a rectangle 10 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)?
  15. 15.A square has a perimeter of 52 cm. What is its area (in square cm)?
  16. 16.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
  17. 17.A rectangular field is 55 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.A rectangular field is 100 m long and 45 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.A rectangular field is 50 m long and 30 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A square has a perimeter of 44 cm. What is its area (in square cm)?
  21. 21.From a rectangle 20 cm long and 5 cm wide, a rectangle 13 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.A rectangular field is 65 m long and 40 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.A rectangular field is 85 m long and 25 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.A square has a perimeter of 48 cm. What is its area (in square cm)?
  27. 27.From a rectangle 11 cm long and 15 cm wide, a rectangle 6 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.A rectangular field is 90 m long and 60 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.The perimeter of a rectangle is 30 cm and its length is 9 cm. What is its width (in cm)?
  30. 30.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.The perimeter of a rectangle is 30 cm and its length is 10 cm. What is its width (in cm)?
  32. 32.The perimeter of a rectangle is 38 cm and its length is 16 cm. What is its width (in cm)?
  33. 33.A wall is 4 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.A wall is 9 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.From a rectangle 9 cm long and 11 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)?
  36. 36.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
  37. 37.From a rectangle 13 cm long and 6 cm wide, a rectangle 6 cm by 4 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 17 cm. What is its perimeter (in cm)?
  39. 39.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
  40. 40.The perimeter of a rectangle is 40 cm and its length is 11 cm. What is its width (in cm)?

Answer key

  1. 32
  2. 2200
  3. 72
  4. 361
  5. 15
  6. 3
  7. 1080
  8. 4
  9. 5
  10. 540
  11. 6
  12. 88
  13. 450
  14. 107
  15. 169
  16. 56
  17. 2730
  18. 2320
  19. 3360
  20. 121
  21. 61
  22. 5040
  23. 360
  24. 1560
  25. 4840
  26. 144
  27. 111
  28. 2400
  29. 6
  30. 3800
  31. 5
  32. 3
  33. 400
  34. 405
  35. 96
  36. 57
  37. 54
  38. 51
  39. 168
  40. 9

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