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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 267 · 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 5 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
  3. 3.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.A wall is 9 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
  6. 6.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
  7. 7.A square has a perimeter of 64 cm. What is its area (in square cm)?
  8. 8.A square has a perimeter of 44 cm. What is its area (in square cm)?
  9. 9.A square has a perimeter of 56 cm. What is its area (in square cm)?
  10. 10.The perimeter of a rectangle is 30 cm and its length is 8 cm. What is its width (in cm)?
  11. 11.The perimeter of a rectangle is 56 cm and its length is 15 cm. What is its width (in cm)?
  12. 12.A rectangular field is 45 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A wall is 7 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.A wall is 7 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.From a rectangle 14 cm long and 9 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)?
  16. 16.A rectangular field is 50 m long and 40 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.The perimeter of a rectangle is 56 cm and its length is 20 cm. What is its width (in cm)?
  18. 18.A rectangular field is 85 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.Each side of a regular hexagon is 11 cm. What is its perimeter (in cm)?
  20. 20.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A rectangular field is 90 m long and 85 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.The perimeter of a rectangle is 24 cm and its length is 9 cm. What is its width (in cm)?
  23. 23.A wall is 12 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.A wall is 12 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.A wall is 10 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.Each side of a square is 25 cm. What is its perimeter (in cm)?
  28. 28.A wall is 12 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.From a rectangle 10 cm long and 15 cm wide, a rectangle 2 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
  31. 31.From a rectangle 11 cm long and 10 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)?
  32. 32.A square has a perimeter of 52 cm. What is its area (in square cm)?
  33. 33.From a rectangle 14 cm long and 8 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)?
  34. 34.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  35. 35.A wall is 10 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
  37. 37.A square has a perimeter of 20 cm. What is its area (in square cm)?
  38. 38.From a rectangle 6 cm long and 14 cm wide, a rectangle 2 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.A rectangular field is 60 m long and 10 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?

Answer key

  1. 300
  2. 2
  3. 1360
  4. 900
  5. 66
  6. 70
  7. 256
  8. 121
  9. 196
  10. 7
  11. 13
  12. 3120
  13. 420
  14. 350
  15. 94
  16. 1260
  17. 8
  18. 1260
  19. 66
  20. 1350
  21. 2100
  22. 3
  23. 1260
  24. 560
  25. 240
  26. 600
  27. 100
  28. 1440
  29. 126
  30. 24
  31. 106
  32. 169
  33. 94
  34. 2
  35. 1200
  36. 3
  37. 25
  38. 60
  39. 2240
  40. 64

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