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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 185 · 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 rectangular field is 70 m long and 30 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.A square has a perimeter of 12 cm. What is its area (in square cm)?
  3. 3.A square has a perimeter of 40 cm. What is its area (in square cm)?
  4. 4.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.A wall is 7 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.A square has a perimeter of 72 cm. What is its area (in square cm)?
  8. 8.A square has a perimeter of 16 cm. What is its area (in square cm)?
  9. 9.A square has a perimeter of 28 cm. What is its area (in square cm)?
  10. 10.The perimeter of a rectangle is 68 cm and its length is 25 cm. What is its width (in cm)?
  11. 11.A wall is 6 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.From a rectangle 10 cm long and 6 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)?
  13. 13.From a rectangle 19 cm long and 8 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)?
  14. 14.From a rectangle 6 cm long and 13 cm wide, a rectangle 2 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  15. 15.A rectangular field is 80 m long and 30 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A square has a perimeter of 68 cm. What is its area (in square cm)?
  17. 17.The perimeter of a rectangle is 110 cm and its length is 30 cm. What is its width (in cm)?
  18. 18.A square has a perimeter of 80 cm. What is its area (in square cm)?
  19. 19.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  20. 20.A wall is 6 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.From a rectangle 14 cm long and 12 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.A square has a perimeter of 24 cm. What is its area (in square cm)?
  23. 23.The perimeter of a rectangle is 48 cm and its length is 13 cm. What is its width (in cm)?
  24. 24.A square has a perimeter of 8 cm. What is its area (in square cm)?
  25. 25.From a rectangle 6 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)?
  26. 26.A wall is 9 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.Each side of a regular hexagon is 11 cm. What is its perimeter (in cm)?
  30. 30.A wall is 10 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.A rectangular field is 95 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
  33. 33.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
  34. 34.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
  35. 35.The perimeter of a rectangle is 64 cm and its length is 29 cm. What is its width (in cm)?
  36. 36.Each side of a square is 5 cm. What is its perimeter (in cm)?
  37. 37.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
  39. 39.Each side of a regular pentagon is 21 cm. What is its perimeter (in cm)?
  40. 40.Each side of a regular pentagon is 18 cm. What is its perimeter (in cm)?

Answer key

  1. 2200
  2. 9
  3. 100
  4. 2600
  5. 1650
  6. 1120
  7. 324
  8. 16
  9. 49
  10. 9
  11. 240
  12. 56
  13. 132
  14. 58
  15. 1980
  16. 289
  17. 25
  18. 400
  19. 21
  20. 810
  21. 159
  22. 36
  23. 11
  24. 4
  25. 27
  26. 900
  27. 3520
  28. 1470
  29. 66
  30. 600
  31. 2520
  32. 120
  33. 65
  34. 3
  35. 3
  36. 20
  37. 880
  38. 128
  39. 105
  40. 90

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