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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 399 · 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 100 m long and 30 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.A wall is 8 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.A square has a perimeter of 28 cm. What is its area (in square cm)?
  5. 5.From a rectangle 15 cm long and 6 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)?
  6. 6.A square has a perimeter of 12 cm. What is its area (in square cm)?
  7. 7.A wall is 8 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.The perimeter of a rectangle is 30 cm and its length is 11 cm. What is its width (in cm)?
  9. 9.The perimeter of a rectangle is 22 cm and its length is 8 cm. What is its width (in cm)?
  10. 10.From a rectangle 16 cm long and 12 cm wide, a rectangle 7 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  11. 11.A rectangular field is 70 m long and 20 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.A wall is 4 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.A wall is 8 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.A square has a perimeter of 44 cm. What is its area (in square cm)?
  15. 15.A wall is 11 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.The perimeter of a rectangle is 70 cm and its length is 23 cm. What is its width (in cm)?
  17. 17.A wall is 12 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.A square has a perimeter of 8 cm. What is its area (in square cm)?
  19. 19.A square has a perimeter of 40 cm. What is its area (in square cm)?
  20. 20.From a rectangle 11 cm long and 14 cm wide, a rectangle 6 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.The perimeter of a rectangle is 46 cm and its length is 20 cm. What is its width (in cm)?
  22. 22.Each side of a square is 12 cm. What is its perimeter (in cm)?
  23. 23.A rectangular field is 55 m long and 30 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  25. 25.Each side of a regular pentagon is 21 cm. What is its perimeter (in cm)?
  26. 26.From a rectangle 7 cm long and 8 cm wide, a rectangle 2 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 hexagon is 2 cm. What is its perimeter (in cm)?
  28. 28.From a rectangle 9 cm long and 6 cm wide, a rectangle 6 cm by 4 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 22 cm and its length is 7 cm. What is its width (in cm)?
  30. 30.A wall is 10 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.From a rectangle 20 cm long and 7 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.A rectangular field is 95 m long and 65 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?
  34. 34.A wall is 6 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
  36. 36.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.A rectangular field is 70 m long and 65 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.From a rectangle 6 cm long and 14 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)?
  39. 39.From a rectangle 11 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)?
  40. 40.From a rectangle 13 cm long and 9 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)?

Answer key

  1. 2600
  2. 1120
  3. 1040
  4. 49
  5. 72
  6. 9
  7. 720
  8. 4
  9. 3
  10. 171
  11. 4500
  12. 720
  13. 240
  14. 121
  15. 990
  16. 12
  17. 720
  18. 4
  19. 100
  20. 82
  21. 3
  22. 48
  23. 4250
  24. 21
  25. 105
  26. 52
  27. 12
  28. 30
  29. 4
  30. 400
  31. 128
  32. 3840
  33. 90
  34. 180
  35. 3
  36. 840
  37. 4320
  38. 82
  39. 52
  40. 109

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