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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 448 · 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.The perimeter of a rectangle is 68 cm and its length is 30 cm. What is its width (in cm)?
  2. 2.A rectangular field is 90 m long and 55 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.The perimeter of a rectangle is 56 cm and its length is 18 cm. What is its width (in cm)?
  4. 4.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.A square has a perimeter of 32 cm. What is its area (in square cm)?
  6. 6.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
  7. 7.From a rectangle 14 cm long and 10 cm wide, a rectangle 8 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.Each side of a square is 2 cm. What is its perimeter (in cm)?
  9. 9.Each side of a regular pentagon is 21 cm. What is its perimeter (in cm)?
  10. 10.Each side of a square is 3 cm. What is its perimeter (in cm)?
  11. 11.A rectangular field is 75 m long and 20 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
  13. 13.A square has a perimeter of 16 cm. What is its area (in square cm)?
  14. 14.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.From a rectangle 17 cm long and 6 cm wide, a rectangle 12 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.A wall is 8 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
  18. 18.The perimeter of a rectangle is 30 cm and its length is 9 cm. What is its width (in cm)?
  19. 19.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.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 ₹)?
  21. 21.A rectangular field is 80 m long and 30 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.The perimeter of a rectangle is 74 cm and its length is 20 cm. What is its width (in cm)?
  23. 23.A rectangular field is 65 m long and 50 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A rectangular field is 80 m long and 45 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.A rectangular field is 50 m long and 25 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.From a rectangle 17 cm long and 9 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
  28. 28.A wall is 3 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.The perimeter of a rectangle is 30 cm and its length is 11 cm. What is its width (in cm)?
  30. 30.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
  31. 31.A square has a perimeter of 76 cm. What is its area (in square cm)?
  32. 32.A rectangular field is 60 m long and 40 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A rectangular field is 65 m long and 40 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.A square has a perimeter of 40 cm. What is its area (in square cm)?
  36. 36.From a rectangle 15 cm long and 7 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.A square has a perimeter of 28 cm. What is its area (in square cm)?
  38. 38.A wall is 12 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.The perimeter of a rectangle is 38 cm and its length is 13 cm. What is its width (in cm)?
  40. 40.A square has a perimeter of 48 cm. What is its area (in square cm)?

Answer key

  1. 4
  2. 3770
  3. 10
  4. 910
  5. 64
  6. 33
  7. 116
  8. 8
  9. 105
  10. 12
  11. 2280
  12. 65
  13. 16
  14. 2400
  15. 54
  16. 1080
  17. 42
  18. 6
  19. 1350
  20. 2560
  21. 2420
  22. 17
  23. 5290
  24. 2250
  25. 2250
  26. 151
  27. 30
  28. 525
  29. 4
  30. 48
  31. 361
  32. 3400
  33. 2310
  34. 1900
  35. 100
  36. 99
  37. 49
  38. 840
  39. 6
  40. 144

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