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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 371 · 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 9 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.The perimeter of a rectangle is 74 cm and its length is 27 cm. What is its width (in cm)?
  3. 3.From a rectangle 19 cm long and 11 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.The perimeter of a rectangle is 62 cm and its length is 25 cm. What is its width (in cm)?
  5. 5.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.The perimeter of a rectangle is 22 cm and its length is 7 cm. What is its width (in cm)?
  7. 7.The perimeter of a rectangle is 18 cm and its length is 7 cm. What is its width (in cm)?
  8. 8.A rectangular field is 70 m long and 55 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.A square has a perimeter of 8 cm. What is its area (in square cm)?
  10. 10.From a rectangle 9 cm long and 13 cm wide, a rectangle 7 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  11. 11.From a rectangle 11 cm long and 6 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.Each side of a square is 6 cm. What is its perimeter (in cm)?
  13. 13.A wall is 4 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.The perimeter of a rectangle is 98 cm and its length is 27 cm. What is its width (in cm)?
  15. 15.From a rectangle 18 cm long and 12 cm wide, a rectangle 14 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.From a rectangle 18 cm long and 13 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)?
  17. 17.Each side of a square is 21 cm. What is its perimeter (in cm)?
  18. 18.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 ₹)?
  19. 19.A square has a perimeter of 76 cm. What is its area (in square cm)?
  20. 20.A wall is 5 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.Each side of a square is 3 cm. What is its perimeter (in cm)?
  22. 22.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
  23. 23.From a rectangle 7 cm long and 15 cm wide, a rectangle 1 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.From a rectangle 10 cm long and 13 cm wide, a rectangle 2 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.From a rectangle 16 cm long and 11 cm wide, a rectangle 14 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.The perimeter of a rectangle is 28 cm and its length is 9 cm. What is its width (in cm)?
  27. 27.From a rectangle 11 cm long and 15 cm wide, a rectangle 8 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.Each side of a square is 2 cm. What is its perimeter (in cm)?
  29. 29.A wall is 7 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  31. 31.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.A square has a perimeter of 56 cm. What is its area (in square cm)?
  33. 33.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 ₹)?
  34. 34.From a rectangle 16 cm long and 11 cm wide, a rectangle 13 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.The perimeter of a rectangle is 64 cm and its length is 21 cm. What is its width (in cm)?
  36. 36.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
  37. 37.Each side of a regular pentagon is 17 cm. What is its perimeter (in cm)?
  38. 38.The perimeter of a rectangle is 52 cm and its length is 22 cm. What is its width (in cm)?
  39. 39.A square has a perimeter of 28 cm. What is its area (in square cm)?
  40. 40.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 1350
  2. 10
  3. 197
  4. 6
  5. 650
  6. 4
  7. 2
  8. 4000
  9. 4
  10. 96
  11. 62
  12. 24
  13. 800
  14. 22
  15. 188
  16. 224
  17. 84
  18. 405
  19. 361
  20. 1350
  21. 12
  22. 32
  23. 99
  24. 120
  25. 134
  26. 5
  27. 77
  28. 8
  29. 1260
  30. 12
  31. 480
  32. 196
  33. 3120
  34. 111
  35. 11
  36. 80
  37. 85
  38. 4
  39. 49
  40. 1430

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