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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 281 · 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 hexagon is 3 cm. What is its perimeter (in cm)?
  2. 2.A square has a perimeter of 44 cm. What is its area (in square cm)?
  3. 3.A square has a perimeter of 60 cm. What is its area (in square cm)?
  4. 4.From a rectangle 19 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)?
  5. 5.A wall is 12 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  7. 7.A square has a perimeter of 72 cm. What is its area (in square cm)?
  8. 8.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
  9. 9.A rectangular field is 70 m long and 20 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
  11. 11.Each side of a square is 22 cm. What is its perimeter (in cm)?
  12. 12.The perimeter of a rectangle is 48 cm and its length is 20 cm. What is its width (in cm)?
  13. 13.A wall is 9 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.A square has a perimeter of 20 cm. What is its area (in square cm)?
  15. 15.A square has a perimeter of 80 cm. What is its area (in square cm)?
  16. 16.From a rectangle 20 cm long and 14 cm wide, a rectangle 2 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.Each side of a square is 16 cm. What is its perimeter (in cm)?
  19. 19.A square has a perimeter of 28 cm. What is its area (in square cm)?
  20. 20.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A wall is 10 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.The perimeter of a rectangle is 28 cm and its length is 8 cm. What is its width (in cm)?
  23. 23.Each side of a square is 24 cm. What is its perimeter (in cm)?
  24. 24.The perimeter of a rectangle is 38 cm and its length is 13 cm. What is its width (in cm)?
  25. 25.A wall is 12 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.The perimeter of a rectangle is 66 cm and its length is 29 cm. What is its width (in cm)?
  27. 27.A wall is 10 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.From a rectangle 19 cm long and 13 cm wide, a rectangle 10 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.The perimeter of a rectangle is 90 cm and its length is 23 cm. What is its width (in cm)?
  30. 30.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.The perimeter of a rectangle is 96 cm and its length is 25 cm. What is its width (in cm)?
  32. 32.A wall is 4 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.The perimeter of a rectangle is 58 cm and its length is 21 cm. What is its width (in cm)?
  34. 34.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
  35. 35.Each side of a regular pentagon is 18 cm. What is its perimeter (in cm)?
  36. 36.Each side of a regular octagon is 23 cm. What is its perimeter (in cm)?
  37. 37.From a rectangle 6 cm long and 10 cm wide, a rectangle 1 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.The perimeter of a rectangle is 92 cm and its length is 30 cm. What is its width (in cm)?
  39. 39.From a rectangle 19 cm long and 15 cm wide, a rectangle 7 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.From a rectangle 17 cm long and 5 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)?

Answer key

  1. 18
  2. 121
  3. 225
  4. 125
  5. 1200
  6. 9
  7. 324
  8. 108
  9. 2520
  10. 104
  11. 88
  12. 4
  13. 900
  14. 25
  15. 400
  16. 258
  17. 1520
  18. 64
  19. 49
  20. 2660
  21. 1500
  22. 6
  23. 96
  24. 6
  25. 240
  26. 4
  27. 800
  28. 227
  29. 22
  30. 1210
  31. 23
  32. 200
  33. 8
  34. 120
  35. 90
  36. 184
  37. 53
  38. 16
  39. 243
  40. 82

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