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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 158 · 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 68 cm. What is its area (in square cm)?
  2. 2.A rectangular field is 100 m long and 60 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.From a rectangle 14 cm long and 7 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)?
  4. 4.A wall is 4 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.Each side of a regular hexagon is 19 cm. What is its perimeter (in cm)?
  6. 6.The perimeter of a rectangle is 62 cm and its length is 17 cm. What is its width (in cm)?
  7. 7.A square has a perimeter of 80 cm. What is its area (in square cm)?
  8. 8.A wall is 8 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.A rectangular field is 90 m long and 25 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
  11. 11.A rectangular field is 95 m long and 55 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
  13. 13.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A wall is 5 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.A square has a perimeter of 8 cm. What is its area (in square cm)?
  16. 16.The perimeter of a rectangle is 62 cm and its length is 24 cm. What is its width (in cm)?
  17. 17.The perimeter of a rectangle is 80 cm and its length is 30 cm. What is its width (in cm)?
  18. 18.A rectangular field is 50 m long and 30 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  20. 20.A wall is 8 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
  22. 22.The perimeter of a rectangle is 22 cm and its length is 7 cm. What is its width (in cm)?
  23. 23.A square has a perimeter of 52 cm. What is its area (in square cm)?
  24. 24.From a rectangle 7 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)?
  25. 25.A square has a perimeter of 28 cm. What is its area (in square cm)?
  26. 26.The perimeter of a rectangle is 54 cm and its length is 15 cm. What is its width (in cm)?
  27. 27.The perimeter of a rectangle is 32 cm and its length is 9 cm. What is its width (in cm)?
  28. 28.Each side of a square is 24 cm. What is its perimeter (in cm)?
  29. 29.A rectangular field is 85 m long and 50 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A square has a perimeter of 76 cm. What is its area (in square cm)?
  31. 31.A square has a perimeter of 40 cm. What is its area (in square cm)?
  32. 32.A square has a perimeter of 48 cm. What is its area (in square cm)?
  33. 33.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  34. 34.A rectangular field is 85 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.From a rectangle 9 cm long and 8 cm wide, a rectangle 5 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.From a rectangle 13 cm long and 14 cm wide, a rectangle 6 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.The perimeter of a rectangle is 72 cm and its length is 30 cm. What is its width (in cm)?
  38. 38.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.The perimeter of a rectangle is 46 cm and its length is 19 cm. What is its width (in cm)?
  40. 40.A wall is 9 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 289
  2. 4160
  3. 97
  4. 300
  5. 114
  6. 14
  7. 400
  8. 1600
  9. 4830
  10. 57
  11. 6000
  12. 78
  13. 1650
  14. 250
  15. 4
  16. 7
  17. 10
  18. 2560
  19. 12
  20. 2400
  21. 18
  22. 4
  23. 169
  24. 41
  25. 49
  26. 12
  27. 7
  28. 96
  29. 4320
  30. 361
  31. 100
  32. 144
  33. 25
  34. 1140
  35. 42
  36. 140
  37. 6
  38. 2200
  39. 4
  40. 720

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