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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 211 · 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 7 cm. What is its perimeter (in cm)?
  2. 2.From a rectangle 11 cm long and 13 cm wide, a rectangle 5 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  3. 3.The perimeter of a rectangle is 58 cm and its length is 22 cm. What is its width (in cm)?
  4. 4.The perimeter of a rectangle is 112 cm and its length is 30 cm. What is its width (in cm)?
  5. 5.From a rectangle 8 cm long and 9 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.A square has a perimeter of 24 cm. What is its area (in square cm)?
  7. 7.A square has a perimeter of 12 cm. What is its area (in square cm)?
  8. 8.From a rectangle 10 cm long and 7 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)?
  9. 9.A square has a perimeter of 80 cm. What is its area (in square cm)?
  10. 10.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
  11. 11.The perimeter of a rectangle is 30 cm and its length is 12 cm. What is its width (in cm)?
  12. 12.From a rectangle 6 cm long and 7 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  13. 13.A square has a perimeter of 16 cm. What is its area (in square cm)?
  14. 14.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
  15. 15.A wall is 4 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.The perimeter of a rectangle is 32 cm and its length is 9 cm. What is its width (in cm)?
  17. 17.A rectangular field is 75 m long and 50 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.Each side of a square is 6 cm. What is its perimeter (in cm)?
  19. 19.From a rectangle 10 cm long and 8 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)?
  20. 20.A square has a perimeter of 76 cm. What is its area (in square cm)?
  21. 21.A wall is 5 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A square has a perimeter of 28 cm. What is its area (in square cm)?
  23. 23.From a rectangle 6 cm long and 9 cm wide, a rectangle 4 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.From a rectangle 6 cm long and 9 cm wide, a rectangle 3 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
  26. 26.A wall is 8 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.From a rectangle 11 cm long and 11 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.Each side of a square is 12 cm. What is its perimeter (in cm)?
  29. 29.The perimeter of a rectangle is 68 cm and its length is 24 cm. What is its width (in cm)?
  30. 30.A square has a perimeter of 68 cm. What is its area (in square cm)?
  31. 31.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
  32. 32.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
  33. 33.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
  35. 35.A wall is 12 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.A wall is 7 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.A square has a perimeter of 52 cm. What is its area (in square cm)?
  38. 38.A square has a perimeter of 60 cm. What is its area (in square cm)?
  39. 39.Each side of a regular pentagon is 20 cm. What is its perimeter (in cm)?
  40. 40.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 56
  2. 123
  3. 7
  4. 26
  5. 56
  6. 36
  7. 9
  8. 67
  9. 400
  10. 112
  11. 3
  12. 34
  13. 16
  14. 48
  15. 160
  16. 7
  17. 4250
  18. 24
  19. 76
  20. 361
  21. 150
  22. 49
  23. 30
  24. 36
  25. 16
  26. 400
  27. 113
  28. 48
  29. 10
  30. 289
  31. 48
  32. 78
  33. 840
  34. 24
  35. 2400
  36. 420
  37. 169
  38. 225
  39. 100
  40. 2160

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