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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 616 · 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 95 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.Each side of a regular octagon is 10 cm. What is its perimeter (in cm)?
  3. 3.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
  4. 4.A wall is 6 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.A square has a perimeter of 68 cm. What is its area (in square cm)?
  6. 6.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
  7. 7.Each side of a square is 3 cm. What is its perimeter (in cm)?
  8. 8.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.A wall is 6 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
  11. 11.A square has a perimeter of 80 cm. What is its area (in square cm)?
  12. 12.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
  13. 13.A square has a perimeter of 40 cm. What is its area (in square cm)?
  14. 14.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
  15. 15.A wall is 12 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.A wall is 8 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
  19. 19.Each side of a square is 19 cm. What is its perimeter (in cm)?
  20. 20.The perimeter of a rectangle is 70 cm and its length is 29 cm. What is its width (in cm)?
  21. 21.A wall is 12 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.The perimeter of a rectangle is 62 cm and its length is 28 cm. What is its width (in cm)?
  23. 23.A rectangular field is 85 m long and 30 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.The perimeter of a rectangle is 42 cm and its length is 15 cm. What is its width (in cm)?
  25. 25.The perimeter of a rectangle is 38 cm and its length is 11 cm. What is its width (in cm)?
  26. 26.A wall is 8 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.A square has a perimeter of 64 cm. What is its area (in square cm)?
  28. 28.A wall is 7 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
  30. 30.From a rectangle 17 cm long and 9 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.From a rectangle 20 cm long and 8 cm wide, a rectangle 17 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.A square has a perimeter of 44 cm. What is its area (in square cm)?
  33. 33.A wall is 4 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
  35. 35.A square has a perimeter of 76 cm. What is its area (in square cm)?
  36. 36.The perimeter of a rectangle is 34 cm and its length is 15 cm. What is its width (in cm)?
  37. 37.A square has a perimeter of 72 cm. What is its area (in square cm)?
  38. 38.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 ₹)?
  39. 39.A rectangular field is 85 m long and 80 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.From a rectangle 10 cm long and 9 cm wide, a rectangle 8 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 4410
  2. 80
  3. 15
  4. 450
  5. 289
  6. 144
  7. 12
  8. 2200
  9. 180
  10. 4
  11. 400
  12. 50
  13. 100
  14. 192
  15. 480
  16. 320
  17. 2400
  18. 102
  19. 76
  20. 6
  21. 720
  22. 3
  23. 2530
  24. 6
  25. 8
  26. 600
  27. 256
  28. 1225
  29. 66
  30. 128
  31. 109
  32. 121
  33. 360
  34. 72
  35. 361
  36. 2
  37. 324
  38. 1920
  39. 7920
  40. 42

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