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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 509 · 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.Each side of a regular pentagon is 18 cm. What is its perimeter (in cm)?
  2. 2.A rectangular field is 85 m long and 75 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.A square has a perimeter of 24 cm. What is its area (in square cm)?
  5. 5.Each side of a square is 15 cm. What is its perimeter (in cm)?
  6. 6.A wall is 10 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.A wall is 3 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.A square has a perimeter of 16 cm. What is its area (in square cm)?
  9. 9.From a rectangle 14 cm long and 13 cm wide, a rectangle 2 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.A wall is 11 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
  12. 12.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A wall is 3 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.From a rectangle 17 cm long and 9 cm wide, a rectangle 7 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  15. 15.Each side of a square is 3 cm. What is its perimeter (in cm)?
  16. 16.A square has a perimeter of 80 cm. What is its area (in square cm)?
  17. 17.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
  18. 18.The perimeter of a rectangle is 76 cm and its length is 24 cm. What is its width (in cm)?
  19. 19.A rectangular field is 65 m long and 25 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
  21. 21.From a rectangle 9 cm long and 12 cm wide, a rectangle 3 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.From a rectangle 8 cm long and 13 cm wide, a rectangle 1 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.From a rectangle 8 cm long and 5 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)?
  25. 25.A rectangular field is 60 m long and 40 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.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 ₹)?
  27. 27.The perimeter of a rectangle is 34 cm and its length is 15 cm. What is its width (in cm)?
  28. 28.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.The perimeter of a rectangle is 88 cm and its length is 25 cm. What is its width (in cm)?
  30. 30.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 ₹)?
  31. 31.The perimeter of a rectangle is 30 cm and its length is 8 cm. What is its width (in cm)?
  32. 32.Each side of a regular pentagon is 19 cm. What is its perimeter (in cm)?
  33. 33.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
  34. 34.Each side of a square is 21 cm. What is its perimeter (in cm)?
  35. 35.The perimeter of a rectangle is 48 cm and its length is 14 cm. What is its width (in cm)?
  36. 36.A rectangular field is 50 m long and 20 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.A rectangular field is 95 m long and 80 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.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 ₹)?
  40. 40.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?

Answer key

  1. 90
  2. 5120
  3. 3000
  4. 36
  5. 60
  6. 600
  7. 180
  8. 16
  9. 162
  10. 2200
  11. 144
  12. 3120
  13. 315
  14. 111
  15. 12
  16. 400
  17. 57
  18. 14
  19. 3060
  20. 60
  21. 84
  22. 96
  23. 2100
  24. 34
  25. 2000
  26. 320
  27. 2
  28. 660
  29. 19
  30. 1200
  31. 7
  32. 95
  33. 55
  34. 84
  35. 10
  36. 1400
  37. 3500
  38. 1800
  39. 1620
  40. 112

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