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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 471 · 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 wall is 6 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.A rectangular field is 60 m long and 55 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.A rectangular field is 100 m long and 10 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.A rectangular field is 50 m long and 30 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.A wall is 7 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.The perimeter of a rectangle is 54 cm and its length is 21 cm. What is its width (in cm)?
  7. 7.A rectangular field is 80 m long and 20 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
  9. 9.A wall is 7 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
  11. 11.The perimeter of a rectangle is 68 cm and its length is 19 cm. What is its width (in cm)?
  12. 12.Each side of a square is 18 cm. What is its perimeter (in cm)?
  13. 13.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  14. 14.The perimeter of a rectangle is 50 cm and its length is 15 cm. What is its width (in cm)?
  15. 15.The perimeter of a rectangle is 60 cm and its length is 25 cm. What is its width (in cm)?
  16. 16.From a rectangle 19 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)?
  17. 17.From a rectangle 15 cm long and 15 cm wide, a rectangle 3 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
  19. 19.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  20. 20.A wall is 8 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.The perimeter of a rectangle is 66 cm and its length is 29 cm. What is its width (in cm)?
  22. 22.A rectangular field is 60 m long and 55 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.A wall is 8 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.From a rectangle 10 cm long and 15 cm wide, a rectangle 5 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.From a rectangle 9 cm long and 13 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)?
  26. 26.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
  27. 27.Each side of a square is 22 cm. What is its perimeter (in cm)?
  28. 28.From a rectangle 18 cm long and 10 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)?
  29. 29.The perimeter of a rectangle is 46 cm and its length is 21 cm. What is its width (in cm)?
  30. 30.Each side of a regular pentagon is 19 cm. What is its perimeter (in cm)?
  31. 31.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.From a rectangle 20 cm long and 12 cm wide, a rectangle 2 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.A square has a perimeter of 60 cm. What is its area (in square cm)?
  34. 34.The perimeter of a rectangle is 54 cm and its length is 24 cm. What is its width (in cm)?
  35. 35.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  36. 36.The perimeter of a rectangle is 74 cm and its length is 21 cm. What is its width (in cm)?
  37. 37.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
  38. 38.The perimeter of a rectangle is 62 cm and its length is 18 cm. What is its width (in cm)?
  39. 39.The perimeter of a rectangle is 58 cm and its length is 23 cm. What is its width (in cm)?
  40. 40.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?

Answer key

  1. 840
  2. 4370
  3. 3520
  4. 800
  5. 1260
  6. 6
  7. 4000
  8. 51
  9. 700
  10. 84
  11. 15
  12. 72
  13. 12
  14. 10
  15. 5
  16. 227
  17. 192
  18. 12
  19. 36
  20. 1800
  21. 4
  22. 5060
  23. 400
  24. 100
  25. 111
  26. 56
  27. 88
  28. 178
  29. 2
  30. 95
  31. 840
  32. 226
  33. 225
  34. 3
  35. 21
  36. 16
  37. 3
  38. 13
  39. 6
  40. 18

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