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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 256 · 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 76 cm and its length is 28 cm. What is its width (in cm)?
  2. 2.A wall is 5 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
  4. 4.A rectangular field is 70 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
  6. 6.A wall is 12 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.From a rectangle 12 cm long and 12 cm wide, a rectangle 3 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  9. 9.A wall is 9 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.From a rectangle 17 cm long and 12 cm wide, a rectangle 4 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  11. 11.A square has a perimeter of 44 cm. What is its area (in square cm)?
  12. 12.A wall is 7 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
  14. 14.The perimeter of a rectangle is 62 cm and its length is 19 cm. What is its width (in cm)?
  15. 15.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
  17. 17.A rectangular field is 55 m long and 25 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.A rectangular field is 80 m long and 30 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.From a rectangle 11 cm long and 9 cm wide, a rectangle 9 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
  21. 21.A square has a perimeter of 8 cm. What is its area (in square cm)?
  22. 22.A square has a perimeter of 60 cm. What is its area (in square cm)?
  23. 23.From a rectangle 19 cm long and 9 cm wide, a rectangle 13 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.A wall is 4 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  26. 26.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.A rectangular field is 60 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.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 ₹)?
  31. 31.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.The perimeter of a rectangle is 66 cm and its length is 25 cm. What is its width (in cm)?
  33. 33.A wall is 3 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.From a rectangle 18 cm long and 9 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
  36. 36.A wall is 12 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.A wall is 3 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?
  39. 39.A wall is 7 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.Each side of a regular octagon is 15 cm. What is its perimeter (in cm)?

Answer key

  1. 10
  2. 1200
  3. 65
  4. 3740
  5. 72
  6. 1620
  7. 1080
  8. 123
  9. 2700
  10. 164
  11. 121
  12. 945
  13. 132
  14. 12
  15. 1400
  16. 24
  17. 2560
  18. 1760
  19. 90
  20. 4
  21. 4
  22. 225
  23. 119
  24. 240
  25. 2
  26. 1890
  27. 3150
  28. 1200
  29. 1440
  30. 720
  31. 2500
  32. 8
  33. 540
  34. 137
  35. 120
  36. 2400
  37. 180
  38. 20
  39. 700
  40. 120

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