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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 479 · 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 18 cm and its length is 7 cm. What is its width (in cm)?
  2. 2.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
  3. 3.A rectangular field is 55 m long and 45 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
  5. 5.A wall is 12 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
  8. 8.The perimeter of a rectangle is 64 cm and its length is 28 cm. What is its width (in cm)?
  9. 9.A square has a perimeter of 8 cm. What is its area (in square cm)?
  10. 10.A wall is 12 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.The perimeter of a rectangle is 76 cm and its length is 21 cm. What is its width (in cm)?
  12. 12.A rectangular field is 100 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A wall is 3 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.The perimeter of a rectangle is 36 cm and its length is 14 cm. What is its width (in cm)?
  15. 15.From a rectangle 13 cm long and 12 cm wide, a rectangle 2 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.From a rectangle 7 cm long and 9 cm wide, a rectangle 5 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.A wall is 5 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.From a rectangle 12 cm long and 7 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.A wall is 8 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.From a rectangle 20 cm long and 14 cm wide, a rectangle 13 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.A square has a perimeter of 40 cm. What is its area (in square cm)?
  23. 23.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
  24. 24.A wall is 4 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.A wall is 12 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.A rectangular field is 80 m long and 35 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.A square has a perimeter of 80 cm. What is its area (in square cm)?
  28. 28.A wall is 9 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.From a rectangle 18 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)?
  30. 30.A wall is 10 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.From a rectangle 8 cm long and 11 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)?
  32. 32.A wall is 9 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.From a rectangle 13 cm long and 8 cm wide, a rectangle 10 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
  35. 35.A rectangular field is 55 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.A wall is 5 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.A wall is 4 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
  39. 39.A rectangular field is 55 m long and 15 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?

Answer key

  1. 2
  2. 6
  3. 1000
  4. 45
  5. 720
  6. 1280
  7. 4
  8. 4
  9. 4
  10. 1200
  11. 17
  12. 2300
  13. 90
  14. 4
  15. 144
  16. 28
  17. 1500
  18. 78
  19. 800
  20. 254
  21. 500
  22. 100
  23. 30
  24. 320
  25. 3600
  26. 2070
  27. 400
  28. 405
  29. 80
  30. 1500
  31. 82
  32. 1125
  33. 84
  34. 4
  35. 1040
  36. 400
  37. 240
  38. 72
  39. 1960
  40. 2

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