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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 4 · 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.From a rectangle 14 cm long and 5 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.A wall is 4 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.A wall is 6 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.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 ₹)?
  5. 5.Each side of a square is 14 cm. What is its perimeter (in cm)?
  6. 6.A wall is 3 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.A square has a perimeter of 76 cm. What is its area (in square cm)?
  8. 8.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
  9. 9.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
  10. 10.Each side of a square is 12 cm. What is its perimeter (in cm)?
  11. 11.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.From a rectangle 10 cm long and 10 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)?
  14. 14.The perimeter of a rectangle is 50 cm and its length is 22 cm. What is its width (in cm)?
  15. 15.From a rectangle 16 cm long and 13 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)?
  16. 16.The perimeter of a rectangle is 50 cm and its length is 18 cm. What is its width (in cm)?
  17. 17.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
  18. 18.Each side of a square is 13 cm. What is its perimeter (in cm)?
  19. 19.A square has a perimeter of 28 cm. What is its area (in square cm)?
  20. 20.A wall is 11 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
  23. 23.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 ₹)?
  24. 24.A rectangular field is 95 m long and 25 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.From a rectangle 11 cm long and 8 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)?
  26. 26.From a rectangle 19 cm long and 7 cm wide, a rectangle 7 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.From a rectangle 16 cm long and 10 cm wide, a rectangle 12 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.The perimeter of a rectangle is 30 cm and its length is 8 cm. What is its width (in cm)?
  29. 29.The perimeter of a rectangle is 82 cm and its length is 27 cm. What is its width (in cm)?
  30. 30.A wall is 9 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.From a rectangle 13 cm long and 8 cm wide, a rectangle 11 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.A wall is 4 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.A square has a perimeter of 52 cm. What is its area (in square cm)?
  34. 34.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
  35. 35.From a rectangle 11 cm long and 8 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.A square has a perimeter of 44 cm. What is its area (in square cm)?
  37. 37.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
  38. 38.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
  39. 39.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 ₹)?
  40. 40.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?

Answer key

  1. 61
  2. 600
  3. 450
  4. 1260
  5. 56
  6. 180
  7. 361
  8. 104
  9. 4
  10. 48
  11. 3120
  12. 1050
  13. 90
  14. 3
  15. 184
  16. 7
  17. 65
  18. 52
  19. 49
  20. 550
  21. 550
  22. 102
  23. 240
  24. 3840
  25. 80
  26. 119
  27. 136
  28. 7
  29. 14
  30. 2160
  31. 49
  32. 480
  33. 169
  34. 84
  35. 83
  36. 121
  37. 63
  38. 24
  39. 800
  40. 132

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