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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 95 · 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 11 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
  4. 4.A wall is 10 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
  6. 6.A square has a perimeter of 76 cm. What is its area (in square cm)?
  7. 7.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 ₹)?
  8. 8.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
  10. 10.A wall is 5 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.From a rectangle 13 cm long and 13 cm wide, a rectangle 9 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
  13. 13.The perimeter of a rectangle is 72 cm and its length is 26 cm. What is its width (in cm)?
  14. 14.From a rectangle 8 cm long and 7 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)?
  15. 15.A wall is 7 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.From a rectangle 10 cm long and 6 cm wide, a rectangle 8 cm by 3 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 11 cm. What is its perimeter (in cm)?
  18. 18.The perimeter of a rectangle is 94 cm and its length is 25 cm. What is its width (in cm)?
  19. 19.From a rectangle 14 cm long and 10 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.A square has a perimeter of 8 cm. What is its area (in square cm)?
  21. 21.From a rectangle 9 cm long and 11 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.From a rectangle 15 cm long and 14 cm wide, a rectangle 7 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 25 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
  25. 25.A square has a perimeter of 20 cm. What is its area (in square cm)?
  26. 26.A rectangular field is 55 m long and 50 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.The perimeter of a rectangle is 62 cm and its length is 19 cm. What is its width (in cm)?
  28. 28.From a rectangle 7 cm long and 13 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)?
  29. 29.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
  30. 30.A wall is 4 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.A rectangular field is 70 m long and 35 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.The perimeter of a rectangle is 80 cm and its length is 28 cm. What is its width (in cm)?
  33. 33.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
  34. 34.A wall is 7 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.Each side of a square is 3 cm. What is its perimeter (in cm)?
  36. 36.The perimeter of a rectangle is 86 cm and its length is 26 cm. What is its width (in cm)?
  37. 37.A square has a perimeter of 16 cm. What is its area (in square cm)?
  38. 38.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
  39. 39.The perimeter of a rectangle is 26 cm and its length is 9 cm. What is its width (in cm)?
  40. 40.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?

Answer key

  1. 990
  2. 2640
  3. 75
  4. 900
  5. 102
  6. 361
  7. 2200
  8. 630
  9. 48
  10. 1000
  11. 97
  12. 12
  13. 10
  14. 52
  15. 315
  16. 36
  17. 44
  18. 22
  19. 132
  20. 4
  21. 98
  22. 154
  23. 1540
  24. 168
  25. 25
  26. 4620
  27. 12
  28. 41
  29. 57
  30. 240
  31. 1680
  32. 12
  33. 96
  34. 735
  35. 12
  36. 17
  37. 16
  38. 192
  39. 4
  40. 2

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