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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 383 · 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 square is 20 cm. What is its perimeter (in cm)?
  2. 2.The perimeter of a rectangle is 52 cm and its length is 19 cm. What is its width (in cm)?
  3. 3.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  4. 4.The perimeter of a rectangle is 24 cm and its length is 8 cm. What is its width (in cm)?
  5. 5.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
  6. 6.From a rectangle 13 cm long and 5 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.A square has a perimeter of 12 cm. What is its area (in square cm)?
  8. 8.The perimeter of a rectangle is 80 cm and its length is 23 cm. What is its width (in cm)?
  9. 9.A wall is 10 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.The perimeter of a rectangle is 22 cm and its length is 7 cm. What is its width (in cm)?
  11. 11.A wall is 8 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A rectangular field is 65 m long and 40 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.The perimeter of a rectangle is 28 cm and its length is 9 cm. What is its width (in cm)?
  14. 14.From a rectangle 11 cm long and 11 cm wide, a rectangle 9 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  15. 15.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
  16. 16.A square has a perimeter of 16 cm. What is its area (in square cm)?
  17. 17.Each side of a square is 18 cm. What is its perimeter (in cm)?
  18. 18.A rectangular field is 75 m long and 35 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.From a rectangle 18 cm long and 11 cm wide, a rectangle 8 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.A rectangular field is 90 m long and 40 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A square has a perimeter of 56 cm. What is its area (in square cm)?
  22. 22.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.A rectangular field is 85 m long and 30 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A wall is 12 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.A square has a perimeter of 68 cm. What is its area (in square cm)?
  26. 26.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
  27. 27.The perimeter of a rectangle is 68 cm and its length is 27 cm. What is its width (in cm)?
  28. 28.From a rectangle 8 cm long and 9 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.A wall is 8 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  31. 31.A rectangular field is 85 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.A rectangular field is 55 m long and 20 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A rectangular field is 80 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.From a rectangle 18 cm long and 5 cm wide, a rectangle 8 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
  37. 37.From a rectangle 13 cm long and 8 cm wide, a rectangle 5 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.From a rectangle 8 cm long and 13 cm wide, a rectangle 2 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.A rectangular field is 65 m long and 20 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.A wall is 3 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 80
  2. 7
  3. 9
  4. 4
  5. 144
  6. 49
  7. 9
  8. 17
  9. 450
  10. 4
  11. 2160
  12. 4410
  13. 5
  14. 40
  15. 48
  16. 16
  17. 72
  18. 5280
  19. 174
  20. 1560
  21. 196
  22. 3600
  23. 5060
  24. 2700
  25. 289
  26. 96
  27. 7
  28. 68
  29. 640
  30. 36
  31. 1710
  32. 1500
  33. 900
  34. 650
  35. 82
  36. 72
  37. 74
  38. 92
  39. 3910
  40. 210

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