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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 17 · 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.A wall is 7 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
  3. 3.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
  4. 4.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
  5. 5.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
  6. 6.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.The perimeter of a rectangle is 18 cm and its length is 7 cm. What is its width (in cm)?
  8. 8.Each side of a regular octagon is 25 cm. What is its perimeter (in cm)?
  9. 9.From a rectangle 14 cm long and 8 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.A square has a perimeter of 36 cm. What is its area (in square cm)?
  11. 11.A square has a perimeter of 8 cm. What is its area (in square cm)?
  12. 12.The perimeter of a rectangle is 32 cm and its length is 11 cm. What is its width (in cm)?
  13. 13.A square has a perimeter of 60 cm. What is its area (in square cm)?
  14. 14.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
  15. 15.A wall is 6 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.The perimeter of a rectangle is 62 cm and its length is 24 cm. What is its width (in cm)?
  17. 17.From a rectangle 10 cm long and 15 cm wide, a rectangle 3 cm by 12 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 40 m long and 20 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.From a rectangle 10 cm long and 15 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
  22. 22.From a rectangle 7 cm long and 8 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)?
  23. 23.From a rectangle 8 cm long and 9 cm wide, a rectangle 6 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.From a rectangle 15 cm long and 8 cm wide, a rectangle 7 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.A rectangular field is 60 m long and 50 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.The perimeter of a rectangle is 30 cm and its length is 8 cm. What is its width (in cm)?
  27. 27.The perimeter of a rectangle is 60 cm and its length is 21 cm. What is its width (in cm)?
  28. 28.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
  29. 29.A wall is 9 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.A wall is 3 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.A square has a perimeter of 16 cm. What is its area (in square cm)?
  32. 32.A square has a perimeter of 28 cm. What is its area (in square cm)?
  33. 33.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
  34. 34.The perimeter of a rectangle is 38 cm and its length is 14 cm. What is its width (in cm)?
  35. 35.From a rectangle 7 cm long and 7 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)?
  36. 36.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.From a rectangle 18 cm long and 11 cm wide, a rectangle 9 cm by 2 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 5 cm. What is its perimeter (in cm)?
  39. 39.The perimeter of a rectangle is 50 cm and its length is 23 cm. What is its width (in cm)?
  40. 40.From a rectangle 20 cm long and 11 cm wide, a rectangle 2 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 630
  2. 160
  3. 10
  4. 35
  5. 72
  6. 3990
  7. 2
  8. 200
  9. 100
  10. 81
  11. 4
  12. 5
  13. 225
  14. 108
  15. 1440
  16. 7
  17. 114
  18. 75
  19. 2640
  20. 144
  21. 24
  22. 54
  23. 42
  24. 106
  25. 1320
  26. 7
  27. 9
  28. 18
  29. 270
  30. 225
  31. 16
  32. 49
  33. 192
  34. 5
  35. 41
  36. 1140
  37. 180
  38. 15
  39. 2
  40. 204

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