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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 505 · 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 square has a perimeter of 28 cm. What is its area (in square cm)?
  2. 2.The perimeter of a rectangle is 90 cm and its length is 23 cm. What is its width (in cm)?
  3. 3.Each side of a square is 2 cm. What is its perimeter (in cm)?
  4. 4.From a rectangle 19 cm long and 9 cm wide, a rectangle 12 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  5. 5.A rectangular field is 65 m long and 20 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.A wall is 11 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.A wall is 9 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
  9. 9.A rectangular field is 95 m long and 35 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.A rectangular field is 55 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.A square has a perimeter of 60 cm. What is its area (in square cm)?
  12. 12.The perimeter of a rectangle is 78 cm and its length is 23 cm. What is its width (in cm)?
  13. 13.A wall is 8 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.A wall is 9 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  16. 16.The perimeter of a rectangle is 32 cm and its length is 10 cm. What is its width (in cm)?
  17. 17.From a rectangle 12 cm long and 12 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.Each side of a square is 18 cm. What is its perimeter (in cm)?
  19. 19.A square has a perimeter of 80 cm. What is its area (in square cm)?
  20. 20.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
  21. 21.From a rectangle 12 cm long and 6 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.Each side of a regular pentagon is 19 cm. What is its perimeter (in cm)?
  23. 23.Each side of a regular pentagon is 22 cm. What is its perimeter (in cm)?
  24. 24.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
  25. 25.A square has a perimeter of 64 cm. What is its area (in square cm)?
  26. 26.A square has a perimeter of 8 cm. What is its area (in square cm)?
  27. 27.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A wall is 11 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.The perimeter of a rectangle is 64 cm and its length is 30 cm. What is its width (in cm)?
  30. 30.A rectangular field is 65 m long and 50 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.The perimeter of a rectangle is 60 cm and its length is 22 cm. What is its width (in cm)?
  32. 32.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
  33. 33.From a rectangle 10 cm long and 13 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.A wall is 3 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.From a rectangle 18 cm long and 9 cm wide, a rectangle 10 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
  38. 38.A square has a perimeter of 32 cm. What is its area (in square cm)?
  39. 39.The perimeter of a rectangle is 26 cm and its length is 10 cm. What is its width (in cm)?
  40. 40.A wall is 8 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 49
  2. 22
  3. 8
  4. 123
  5. 3230
  6. 1925
  7. 900
  8. 108
  9. 2080
  10. 1680
  11. 225
  12. 16
  13. 240
  14. 675
  15. 25
  16. 6
  17. 136
  18. 72
  19. 400
  20. 66
  21. 66
  22. 95
  23. 110
  24. 50
  25. 256
  26. 4
  27. 900
  28. 1320
  29. 2
  30. 4600
  31. 8
  32. 35
  33. 125
  34. 225
  35. 1920
  36. 152
  37. 40
  38. 64
  39. 3
  40. 720

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