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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 528 · 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 3 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.A square has a perimeter of 72 cm. What is its area (in square cm)?
  3. 3.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.A square has a perimeter of 44 cm. What is its area (in square cm)?
  5. 5.A rectangular field is 70 m long and 65 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.Each side of a regular octagon is 25 cm. What is its perimeter (in cm)?
  7. 7.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.A square has a perimeter of 68 cm. What is its area (in square cm)?
  9. 9.The perimeter of a rectangle is 30 cm and its length is 11 cm. What is its width (in cm)?
  10. 10.A rectangular field is 65 m long and 40 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.From a rectangle 11 cm long and 11 cm wide, a rectangle 4 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.A square has a perimeter of 76 cm. What is its area (in square cm)?
  13. 13.A rectangular field is 65 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
  15. 15.From a rectangle 20 cm long and 11 cm wide, a rectangle 15 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.A rectangular field is 85 m long and 45 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?
  18. 18.A wall is 5 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.From a rectangle 12 cm long and 5 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
  21. 21.A wall is 4 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.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 ₹)?
  23. 23.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
  24. 24.From a rectangle 18 cm long and 14 cm wide, a rectangle 7 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.From a rectangle 9 cm long and 6 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.A wall is 6 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.Each side of a regular octagon is 23 cm. What is its perimeter (in cm)?
  28. 28.From a rectangle 11 cm long and 8 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)?
  29. 29.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
  31. 31.A rectangular field is 55 m long and 40 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
  33. 33.A wall is 10 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.A square has a perimeter of 28 cm. What is its area (in square cm)?
  35. 35.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
  36. 36.The perimeter of a rectangle is 18 cm and its length is 7 cm. What is its width (in cm)?
  37. 37.A square has a perimeter of 56 cm. What is its area (in square cm)?
  38. 38.The perimeter of a rectangle is 28 cm and its length is 9 cm. What is its width (in cm)?
  39. 39.A wall is 5 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.Each side of a regular pentagon is 22 cm. What is its perimeter (in cm)?

Answer key

  1. 210
  2. 324
  3. 840
  4. 121
  5. 5130
  6. 200
  7. 2240
  8. 289
  9. 4
  10. 1470
  11. 93
  12. 361
  13. 1050
  14. 30
  15. 145
  16. 3640
  17. 20
  18. 400
  19. 57
  20. 40
  21. 200
  22. 1920
  23. 35
  24. 231
  25. 39
  26. 120
  27. 184
  28. 79
  29. 400
  30. 60
  31. 1900
  32. 15
  33. 1250
  34. 49
  35. 51
  36. 2
  37. 196
  38. 5
  39. 300
  40. 110

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