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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 31 · 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 square has a perimeter of 64 cm. What is its area (in square cm)?
  2. 2.From a rectangle 7 cm long and 6 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  3. 3.A square has a perimeter of 12 cm. What is its area (in square cm)?
  4. 4.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
  5. 5.A square has a perimeter of 24 cm. What is its area (in square cm)?
  6. 6.A rectangular field is 70 m long and 20 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.A square has a perimeter of 56 cm. What is its area (in square cm)?
  8. 8.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
  9. 9.The perimeter of a rectangle is 90 cm and its length is 29 cm. What is its width (in cm)?
  10. 10.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
  11. 11.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 ₹)?
  12. 12.A wall is 4 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.A square has a perimeter of 20 cm. What is its area (in square cm)?
  14. 14.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
  15. 15.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.Each side of a square is 10 cm. What is its perimeter (in cm)?
  19. 19.A wall is 5 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?
  21. 21.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
  22. 22.From a rectangle 20 cm long and 8 cm wide, a rectangle 1 cm by 1 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 30 cm and its length is 11 cm. What is its width (in cm)?
  24. 24.A square has a perimeter of 76 cm. What is its area (in square cm)?
  25. 25.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
  26. 26.A wall is 8 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.Each side of a square is 21 cm. What is its perimeter (in cm)?
  28. 28.A rectangular field is 60 m long and 40 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.Each side of a square is 5 cm. What is its perimeter (in cm)?
  30. 30.A square has a perimeter of 80 cm. What is its area (in square cm)?
  31. 31.A square has a perimeter of 28 cm. What is its area (in square cm)?
  32. 32.Each side of a square is 15 cm. What is its perimeter (in cm)?
  33. 33.A wall is 4 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.The perimeter of a rectangle is 36 cm and its length is 12 cm. What is its width (in cm)?
  36. 36.The perimeter of a rectangle is 30 cm and its length is 10 cm. What is its width (in cm)?
  37. 37.Each side of a square is 7 cm. What is its perimeter (in cm)?
  38. 38.From a rectangle 20 cm long and 10 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)?
  39. 39.Each side of a square is 23 cm. What is its perimeter (in cm)?
  40. 40.A wall is 3 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 256
  2. 38
  3. 9
  4. 18
  5. 36
  6. 1980
  7. 196
  8. 192
  9. 16
  10. 75
  11. 180
  12. 500
  13. 25
  14. 2
  15. 660
  16. 700
  17. 630
  18. 40
  19. 200
  20. 90
  21. 96
  22. 159
  23. 4
  24. 361
  25. 72
  26. 1440
  27. 84
  28. 2600
  29. 20
  30. 400
  31. 49
  32. 60
  33. 800
  34. 420
  35. 6
  36. 5
  37. 28
  38. 197
  39. 92
  40. 300

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