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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 594 · 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.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
  2. 2.A square has a perimeter of 24 cm. What is its area (in square cm)?
  3. 3.A square has a perimeter of 72 cm. What is its area (in square cm)?
  4. 4.From a rectangle 13 cm long and 6 cm wide, a rectangle 8 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  5. 5.The perimeter of a rectangle is 60 cm and its length is 19 cm. What is its width (in cm)?
  6. 6.Each side of a square is 19 cm. What is its perimeter (in cm)?
  7. 7.From a rectangle 9 cm long and 9 cm wide, a rectangle 5 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.A wall is 9 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.The perimeter of a rectangle is 50 cm and its length is 19 cm. What is its width (in cm)?
  10. 10.The perimeter of a rectangle is 48 cm and its length is 20 cm. What is its width (in cm)?
  11. 11.A square has a perimeter of 76 cm. What is its area (in square cm)?
  12. 12.From a rectangle 19 cm long and 15 cm wide, a rectangle 7 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  13. 13.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  14. 14.Each side of a regular hexagon is 25 cm. What is its perimeter (in cm)?
  15. 15.A wall is 6 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
  17. 17.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.A square has a perimeter of 20 cm. What is its area (in square cm)?
  19. 19.From a rectangle 18 cm long and 12 cm wide, a rectangle 4 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.A rectangular field is 90 m long and 65 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A rectangular field is 75 m long and 30 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.A wall is 3 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
  24. 24.A wall is 8 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.A square has a perimeter of 16 cm. What is its area (in square cm)?
  26. 26.Each side of a square is 5 cm. What is its perimeter (in cm)?
  27. 27.A wall is 10 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.A wall is 4 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
  30. 30.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 ₹)?
  31. 31.The perimeter of a rectangle is 44 cm and its length is 15 cm. What is its width (in cm)?
  32. 32.A wall is 4 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.A wall is 6 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.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 ₹)?
  35. 35.From a rectangle 7 cm long and 11 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.A wall is 7 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.A wall is 7 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.A square has a perimeter of 40 cm. What is its area (in square cm)?
  39. 39.From a rectangle 18 cm long and 6 cm wide, a rectangle 15 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.A rectangular field is 80 m long and 35 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 75
  2. 36
  3. 324
  4. 46
  5. 11
  6. 76
  7. 61
  8. 1800
  9. 6
  10. 4
  11. 361
  12. 243
  13. 36
  14. 150
  15. 360
  16. 115
  17. 1800
  18. 25
  19. 184
  20. 3100
  21. 2940
  22. 300
  23. 64
  24. 480
  25. 16
  26. 20
  27. 1500
  28. 240
  29. 88
  30. 600
  31. 7
  32. 120
  33. 240
  34. 480
  35. 73
  36. 1050
  37. 875
  38. 100
  39. 93
  40. 1610

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