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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 702 · 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 a regular pentagon is 5 cm. What is its perimeter (in cm)?
  2. 2.The perimeter of a rectangle is 62 cm and its length is 28 cm. What is its width (in cm)?
  3. 3.A square has a perimeter of 36 cm. What is its area (in square cm)?
  4. 4.A wall is 5 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.The perimeter of a rectangle is 74 cm and its length is 22 cm. What is its width (in cm)?
  6. 6.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
  7. 7.A wall is 10 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.From a rectangle 20 cm long and 5 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)?
  9. 9.A rectangular field is 70 m long and 45 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.A square has a perimeter of 60 cm. What is its area (in square cm)?
  11. 11.From a rectangle 14 cm long and 9 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)?
  12. 12.A wall is 10 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.From a rectangle 6 cm long and 5 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)?
  14. 14.A wall is 4 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.A wall is 4 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.A square has a perimeter of 24 cm. What is its area (in square cm)?
  17. 17.Each side of a regular octagon is 17 cm. What is its perimeter (in cm)?
  18. 18.A wall is 5 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.The perimeter of a rectangle is 42 cm and its length is 14 cm. What is its width (in cm)?
  20. 20.From a rectangle 19 cm long and 15 cm wide, a rectangle 10 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?
  22. 22.From a rectangle 8 cm long and 12 cm wide, a rectangle 3 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.A wall is 10 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.The perimeter of a rectangle is 52 cm and its length is 19 cm. What is its width (in cm)?
  25. 25.From a rectangle 16 cm long and 15 cm wide, a rectangle 11 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.A wall is 3 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.A wall is 10 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.The perimeter of a rectangle is 66 cm and its length is 24 cm. What is its width (in cm)?
  29. 29.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
  31. 31.Each side of a square is 16 cm. What is its perimeter (in cm)?
  32. 32.A square has a perimeter of 20 cm. What is its area (in square cm)?
  33. 33.A rectangular field is 80 m long and 45 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
  35. 35.From a rectangle 18 cm long and 6 cm wide, a rectangle 16 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.Each side of a regular octagon is 15 cm. What is its perimeter (in cm)?
  37. 37.A wall is 8 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.A rectangular field is 70 m long and 40 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
  40. 40.The perimeter of a rectangle is 56 cm and its length is 25 cm. What is its width (in cm)?

Answer key

  1. 25
  2. 3
  3. 81
  4. 600
  5. 15
  6. 152
  7. 2250
  8. 98
  9. 1150
  10. 225
  11. 108
  12. 1800
  13. 28
  14. 420
  15. 900
  16. 36
  17. 136
  18. 150
  19. 7
  20. 185
  21. 90
  22. 75
  23. 1200
  24. 7
  25. 218
  26. 270
  27. 900
  28. 9
  29. 2080
  30. 15
  31. 64
  32. 25
  33. 4750
  34. 3
  35. 76
  36. 120
  37. 480
  38. 1100
  39. 72
  40. 3

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