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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 607 · 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 60 cm. What is its area (in square cm)?
  2. 2.A square has a perimeter of 56 cm. What is its area (in square cm)?
  3. 3.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.A wall is 12 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.From a rectangle 15 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)?
  6. 6.From a rectangle 9 cm long and 10 cm wide, a rectangle 7 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.A rectangular field is 50 m long and 40 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.A square has a perimeter of 20 cm. What is its area (in square cm)?
  9. 9.Each side of a square is 2 cm. What is its perimeter (in cm)?
  10. 10.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.A rectangular field is 90 m long and 75 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.A wall is 8 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.The perimeter of a rectangle is 34 cm and its length is 11 cm. What is its width (in cm)?
  14. 14.From a rectangle 8 cm long and 9 cm wide, a rectangle 6 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  15. 15.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  16. 16.A wall is 10 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A rectangular field is 65 m long and 40 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.A square has a perimeter of 48 cm. What is its area (in square cm)?
  19. 19.The perimeter of a rectangle is 34 cm and its length is 9 cm. What is its width (in cm)?
  20. 20.A wall is 4 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.The perimeter of a rectangle is 24 cm and its length is 10 cm. What is its width (in cm)?
  22. 22.A rectangular field is 100 m long and 70 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
  24. 24.The perimeter of a rectangle is 66 cm and its length is 26 cm. What is its width (in cm)?
  25. 25.A wall is 3 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.A square has a perimeter of 28 cm. What is its area (in square cm)?
  27. 27.The perimeter of a rectangle is 26 cm and its length is 11 cm. What is its width (in cm)?
  28. 28.A wall is 5 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.From a rectangle 11 cm long and 7 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.A square has a perimeter of 76 cm. What is its area (in square cm)?
  31. 31.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
  32. 32.A wall is 11 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
  34. 34.The perimeter of a rectangle is 34 cm and its length is 12 cm. What is its width (in cm)?
  35. 35.From a rectangle 10 cm long and 14 cm wide, a rectangle 1 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
  37. 37.The perimeter of a rectangle is 40 cm and its length is 16 cm. What is its width (in cm)?
  38. 38.A wall is 5 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.A rectangular field is 55 m long and 35 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?

Answer key

  1. 225
  2. 196
  3. 1120
  4. 900
  5. 97
  6. 55
  7. 3960
  8. 25
  9. 8
  10. 1190
  11. 1980
  12. 720
  13. 6
  14. 54
  15. 2
  16. 1400
  17. 3360
  18. 144
  19. 8
  20. 600
  21. 2
  22. 3400
  23. 6
  24. 7
  25. 150
  26. 49
  27. 2
  28. 500
  29. 62
  30. 361
  31. 15
  32. 880
  33. 16
  34. 5
  35. 132
  36. 115
  37. 4
  38. 375
  39. 2880
  40. 3

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