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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 548 · 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 square is 23 cm. What is its perimeter (in cm)?
  2. 2.A wall is 4 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.A wall is 9 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.From a rectangle 12 cm long and 5 cm wide, a rectangle 6 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  5. 5.From a rectangle 13 cm long and 8 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.A wall is 6 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.From a rectangle 20 cm long and 7 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.From a rectangle 11 cm long and 5 cm wide, a rectangle 5 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 65 m long and 20 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.From a rectangle 9 cm long and 9 cm wide, a rectangle 1 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  11. 11.Each side of a square is 7 cm. What is its perimeter (in cm)?
  12. 12.The perimeter of a rectangle is 98 cm and its length is 28 cm. What is its width (in cm)?
  13. 13.A square has a perimeter of 68 cm. What is its area (in square cm)?
  14. 14.A wall is 12 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A rectangular field is 75 m long and 50 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.A wall is 10 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.A rectangular field is 60 m long and 55 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  20. 20.Each side of a square is 11 cm. What is its perimeter (in cm)?
  21. 21.A square has a perimeter of 28 cm. What is its area (in square cm)?
  22. 22.A rectangular field is 90 m long and 20 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  24. 24.A square has a perimeter of 60 cm. What is its area (in square cm)?
  25. 25.A rectangular field is 80 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  27. 27.The perimeter of a rectangle is 50 cm and its length is 13 cm. What is its width (in cm)?
  28. 28.A square has a perimeter of 52 cm. What is its area (in square cm)?
  29. 29.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A rectangular field is 55 m long and 50 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
  32. 32.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.The perimeter of a rectangle is 34 cm and its length is 13 cm. What is its width (in cm)?
  34. 34.A wall is 7 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
  36. 36.A square has a perimeter of 12 cm. What is its area (in square cm)?
  37. 37.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
  38. 38.A square has a perimeter of 44 cm. What is its area (in square cm)?
  39. 39.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
  40. 40.From a rectangle 13 cm long and 11 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)?

Answer key

  1. 92
  2. 720
  3. 1080
  4. 42
  5. 98
  6. 300
  7. 137
  8. 45
  9. 3060
  10. 74
  11. 28
  12. 21
  13. 289
  14. 720
  15. 1520
  16. 2750
  17. 500
  18. 5520
  19. 36
  20. 44
  21. 49
  22. 3740
  23. 12
  24. 225
  25. 3960
  26. 25
  27. 12
  28. 169
  29. 960
  30. 4410
  31. 70
  32. 480
  33. 4
  34. 840
  35. 55
  36. 9
  37. 168
  38. 121
  39. 32
  40. 123

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