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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 633 · 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 46 cm and its length is 17 cm. What is its width (in cm)?
  2. 2.A wall is 12 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
  4. 4.A wall is 11 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
  6. 6.A square has a perimeter of 40 cm. What is its area (in square cm)?
  7. 7.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
  8. 8.From a rectangle 19 cm long and 5 cm wide, a rectangle 15 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  9. 9.From a rectangle 16 cm long and 7 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.The perimeter of a rectangle is 72 cm and its length is 23 cm. What is its width (in cm)?
  11. 11.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
  12. 12.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
  13. 13.From a rectangle 9 cm long and 9 cm wide, a rectangle 6 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 38 cm and its length is 10 cm. What is its width (in cm)?
  15. 15.Each side of a square is 2 cm. What is its perimeter (in cm)?
  16. 16.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 ₹)?
  17. 17.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
  18. 18.From a rectangle 8 cm long and 12 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
  20. 20.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.The perimeter of a rectangle is 76 cm and its length is 30 cm. What is its width (in cm)?
  22. 22.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
  23. 23.A square has a perimeter of 72 cm. What is its area (in square cm)?
  24. 24.Each side of a square is 21 cm. What is its perimeter (in cm)?
  25. 25.A wall is 5 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.The perimeter of a rectangle is 52 cm and its length is 15 cm. What is its width (in cm)?
  27. 27.From a rectangle 18 cm long and 11 cm wide, a rectangle 13 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.A square has a perimeter of 32 cm. What is its area (in square cm)?
  29. 29.From a rectangle 7 cm long and 6 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)?
  30. 30.A square has a perimeter of 28 cm. What is its area (in square cm)?
  31. 31.A square has a perimeter of 64 cm. What is its area (in square cm)?
  32. 32.A wall is 8 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.From a rectangle 17 cm long and 13 cm wide, a rectangle 9 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.A wall is 5 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.The perimeter of a rectangle is 52 cm and its length is 19 cm. What is its width (in cm)?
  37. 37.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.Each side of a square is 14 cm. What is its perimeter (in cm)?
  39. 39.A wall is 3 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.From a rectangle 10 cm long and 6 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)?

Answer key

  1. 6
  2. 1080
  3. 4
  4. 825
  5. 5
  6. 100
  7. 63
  8. 65
  9. 96
  10. 13
  11. 132
  12. 45
  13. 51
  14. 9
  15. 8
  16. 480
  17. 35
  18. 90
  19. 54
  20. 1540
  21. 8
  22. 4
  23. 324
  24. 84
  25. 375
  26. 11
  27. 185
  28. 64
  29. 40
  30. 49
  31. 256
  32. 1920
  33. 910
  34. 203
  35. 100
  36. 7
  37. 1680
  38. 56
  39. 270
  40. 54

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