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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 101 · 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 rectangular field is 25 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.A rectangular field is 75 m long and 25 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.From a rectangle 17 cm long and 6 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)?
  4. 4.A wall is 4 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.Each side of an equilateral triangle is 10 cm. What is its perimeter (in cm)?
  6. 6.The perimeter of a rectangle is 54 cm and its length is 25 cm. What is its width (in cm)?
  7. 7.A square has a perimeter of 64 cm. What is its area (in square cm)?
  8. 8.From a rectangle 7 cm long and 12 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)?
  9. 9.The perimeter of a rectangle is 40 cm and its length is 12 cm. What is its width (in cm)?
  10. 10.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
  11. 11.From a rectangle 6 cm long and 12 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
  13. 13.A square has a perimeter of 12 cm. What is its area (in square cm)?
  14. 14.The perimeter of a rectangle is 50 cm and its length is 19 cm. What is its width (in cm)?
  15. 15.A wall is 12 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.The perimeter of a rectangle is 28 cm and its length is 10 cm. What is its width (in cm)?
  17. 17.From a rectangle 10 cm long and 9 cm wide, a rectangle 4 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.A square has a perimeter of 56 cm. What is its area (in square cm)?
  19. 19.From a rectangle 9 cm long and 8 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)?
  20. 20.A wall is 5 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.The perimeter of a rectangle is 102 cm and its length is 30 cm. What is its width (in cm)?
  22. 22.The perimeter of a rectangle is 40 cm and its length is 17 cm. What is its width (in cm)?
  23. 23.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 ₹)?
  24. 24.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
  25. 25.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
  26. 26.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
  27. 27.From a rectangle 14 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)?
  28. 28.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A square has a perimeter of 68 cm. What is its area (in square cm)?
  30. 30.A wall is 6 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.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 ₹)?
  32. 32.A rectangular field is 55 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A square has a perimeter of 52 cm. What is its area (in square cm)?
  34. 34.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
  35. 35.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
  36. 36.From a rectangle 18 cm long and 7 cm wide, a rectangle 16 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.From a rectangle 15 cm long and 13 cm wide, a rectangle 3 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.From a rectangle 6 cm long and 8 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)?
  40. 40.Each side of a square is 9 cm. What is its perimeter (in cm)?

Answer key

  1. 910
  2. 3000
  3. 97
  4. 400
  5. 30
  6. 2
  7. 256
  8. 64
  9. 8
  10. 3
  11. 68
  12. 42
  13. 9
  14. 6
  15. 1920
  16. 4
  17. 70
  18. 196
  19. 62
  20. 900
  21. 21
  22. 3
  23. 1350
  24. 75
  25. 108
  26. 3
  27. 94
  28. 600
  29. 289
  30. 480
  31. 2200
  32. 2340
  33. 169
  34. 5
  35. 30
  36. 62
  37. 177
  38. 560
  39. 42
  40. 36

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