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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 180 · 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 60 m long and 25 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.Each side of a square is 4 cm. What is its perimeter (in cm)?
  4. 4.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  6. 6.A wall is 11 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.A square has a perimeter of 8 cm. What is its area (in square cm)?
  8. 8.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  10. 10.A wall is 5 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  12. 12.A wall is 3 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.A square has a perimeter of 60 cm. What is its area (in square cm)?
  14. 14.From a rectangle 6 cm long and 13 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)?
  15. 15.A wall is 4 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.A rectangular field is 50 m long and 20 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.A square has a perimeter of 48 cm. What is its area (in square cm)?
  18. 18.A square has a perimeter of 20 cm. What is its area (in square cm)?
  19. 19.From a rectangle 14 cm long and 10 cm wide, a rectangle 8 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.A wall is 12 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
  22. 22.A wall is 11 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.The perimeter of a rectangle is 26 cm and its length is 9 cm. What is its width (in cm)?
  24. 24.From a rectangle 9 cm long and 15 cm wide, a rectangle 2 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
  26. 26.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.A wall is 8 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.The perimeter of a rectangle is 54 cm and its length is 23 cm. What is its width (in cm)?
  29. 29.A wall is 11 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.From a rectangle 11 cm long and 13 cm wide, a rectangle 4 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.A wall is 4 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.A rectangular field is 100 m long and 20 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A rectangular field is 60 m long and 40 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.A rectangular field is 55 m long and 40 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.Each side of a regular pentagon is 22 cm. What is its perimeter (in cm)?
  36. 36.Each side of a square is 21 cm. What is its perimeter (in cm)?
  37. 37.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
  38. 38.The perimeter of a rectangle is 68 cm and its length is 28 cm. What is its width (in cm)?
  39. 39.From a rectangle 10 cm long and 5 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 1360
  2. 1440
  3. 16
  4. 1080
  5. 2
  6. 1485
  7. 4
  8. 2640
  9. 12
  10. 750
  11. 42
  12. 600
  13. 225
  14. 57
  15. 160
  16. 3080
  17. 144
  18. 25
  19. 132
  20. 240
  21. 42
  22. 660
  23. 4
  24. 113
  25. 66
  26. 630
  27. 1440
  28. 4
  29. 1650
  30. 123
  31. 400
  32. 4800
  33. 2600
  34. 2660
  35. 110
  36. 84
  37. 36
  38. 6
  39. 40
  40. 990

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