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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 166 · 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 20 cm. What is its area (in square cm)?
  2. 2.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.Each side of a square is 21 cm. What is its perimeter (in cm)?
  4. 4.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
  5. 5.The perimeter of a rectangle is 74 cm and its length is 28 cm. What is its width (in cm)?
  6. 6.A rectangular field is 80 m long and 20 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
  8. 8.Each side of a square is 16 cm. What is its perimeter (in cm)?
  9. 9.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
  10. 10.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
  11. 11.A square has a perimeter of 60 cm. What is its area (in square cm)?
  12. 12.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.From a rectangle 13 cm long and 6 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)?
  14. 14.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  15. 15.A square has a perimeter of 64 cm. What is its area (in square cm)?
  16. 16.A wall is 4 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.From a rectangle 7 cm long and 11 cm wide, a rectangle 5 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.The perimeter of a rectangle is 70 cm and its length is 29 cm. What is its width (in cm)?
  19. 19.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
  20. 20.The perimeter of a rectangle is 34 cm and its length is 9 cm. What is its width (in cm)?
  21. 21.From a rectangle 12 cm long and 14 cm wide, a rectangle 2 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.A wall is 4 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.A square has a perimeter of 28 cm. What is its area (in square cm)?
  24. 24.The perimeter of a rectangle is 28 cm and its length is 11 cm. What is its width (in cm)?
  25. 25.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
  26. 26.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 ₹)?
  27. 27.The perimeter of a rectangle is 92 cm and its length is 30 cm. What is its width (in cm)?
  28. 28.From a rectangle 19 cm long and 12 cm wide, a rectangle 8 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.A wall is 7 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.From a rectangle 17 cm long and 10 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.The perimeter of a rectangle is 40 cm and its length is 18 cm. What is its width (in cm)?
  32. 32.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
  33. 33.From a rectangle 15 cm long and 8 cm wide, a rectangle 13 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.A square has a perimeter of 76 cm. What is its area (in square cm)?
  35. 35.Each side of a square is 4 cm. What is its perimeter (in cm)?
  36. 36.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
  38. 38.A rectangular field is 90 m long and 30 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.A wall is 5 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 25
  2. 1440
  3. 84
  4. 45
  5. 9
  6. 1800
  7. 56
  8. 64
  9. 35
  10. 2
  11. 225
  12. 960
  13. 74
  14. 2
  15. 256
  16. 1200
  17. 47
  18. 6
  19. 69
  20. 8
  21. 154
  22. 540
  23. 49
  24. 3
  25. 132
  26. 300
  27. 16
  28. 148
  29. 700
  30. 161
  31. 2
  32. 40
  33. 55
  34. 361
  35. 16
  36. 1600
  37. 70
  38. 2640
  39. 1800
  40. 750

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