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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 700 · 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 25 cm. What is its perimeter (in cm)?
  2. 2.A square has a perimeter of 72 cm. What is its area (in square cm)?
  3. 3.A square has a perimeter of 12 cm. What is its area (in square cm)?
  4. 4.A wall is 8 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.Each side of a square is 17 cm. What is its perimeter (in cm)?
  6. 6.A wall is 12 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.A square has a perimeter of 20 cm. What is its area (in square cm)?
  8. 8.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.The perimeter of a rectangle is 62 cm and its length is 16 cm. What is its width (in cm)?
  10. 10.A rectangular field is 75 m long and 40 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
  12. 12.From a rectangle 6 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)?
  13. 13.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  14. 14.The perimeter of a rectangle is 96 cm and its length is 25 cm. What is its width (in cm)?
  15. 15.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
  16. 16.From a rectangle 12 cm long and 15 cm wide, a rectangle 7 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.From a rectangle 15 cm long and 11 cm wide, a rectangle 7 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
  19. 19.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A square has a perimeter of 48 cm. What is its area (in square cm)?
  21. 21.A wall is 6 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.From a rectangle 10 cm long and 6 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)?
  23. 23.The perimeter of a rectangle is 54 cm and its length is 16 cm. What is its width (in cm)?
  24. 24.Each side of a regular pentagon is 22 cm. What is its perimeter (in cm)?
  25. 25.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  26. 26.The perimeter of a rectangle is 76 cm and its length is 30 cm. What is its width (in cm)?
  27. 27.A wall is 12 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.From a rectangle 18 cm long and 5 cm wide, a rectangle 10 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.A wall is 7 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.A rectangular field is 95 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A square has a perimeter of 24 cm. What is its area (in square cm)?
  32. 32.From a rectangle 8 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)?
  33. 33.From a rectangle 8 cm long and 15 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)?
  34. 34.The perimeter of a rectangle is 80 cm and its length is 30 cm. What is its width (in cm)?
  35. 35.A rectangular field is 55 m long and 45 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.The perimeter of a rectangle is 38 cm and its length is 16 cm. What is its width (in cm)?
  37. 37.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.A square has a perimeter of 36 cm. What is its area (in square cm)?
  39. 39.The perimeter of a rectangle is 36 cm and its length is 12 cm. What is its width (in cm)?
  40. 40.From a rectangle 16 cm long and 11 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)?

Answer key

  1. 200
  2. 324
  3. 9
  4. 400
  5. 68
  6. 1800
  7. 25
  8. 1650
  9. 15
  10. 1610
  11. 40
  12. 24
  13. 12
  14. 23
  15. 88
  16. 110
  17. 130
  18. 75
  19. 1440
  20. 144
  21. 180
  22. 48
  23. 11
  24. 110
  25. 9
  26. 8
  27. 1080
  28. 60
  29. 560
  30. 3570
  31. 36
  32. 104
  33. 96
  34. 10
  35. 1400
  36. 3
  37. 1680
  38. 81
  39. 6
  40. 146

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