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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 343 · 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 rectangular field is 35 m long and 25 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
  3. 3.A rectangular field is 65 m long and 20 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.A wall is 12 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.From a rectangle 10 cm long and 10 cm wide, a rectangle 1 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.A square has a perimeter of 80 cm. What is its area (in square cm)?
  9. 9.Each side of a regular pentagon is 21 cm. What is its perimeter (in cm)?
  10. 10.A square has a perimeter of 16 cm. What is its area (in square cm)?
  11. 11.A wall is 9 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.The perimeter of a rectangle is 32 cm and its length is 10 cm. What is its width (in cm)?
  13. 13.From a rectangle 10 cm long and 6 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.A rectangular field is 70 m long and 40 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
  16. 16.A wall is 11 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.The perimeter of a rectangle is 22 cm and its length is 9 cm. What is its width (in cm)?
  18. 18.A square has a perimeter of 24 cm. What is its area (in square cm)?
  19. 19.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
  21. 21.The perimeter of a rectangle is 74 cm and its length is 21 cm. What is its width (in cm)?
  22. 22.A rectangular field is 90 m long and 25 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.The perimeter of a rectangle is 48 cm and its length is 20 cm. What is its width (in cm)?
  24. 24.From a rectangle 10 cm long and 9 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)?
  25. 25.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
  26. 26.From a rectangle 11 cm long and 9 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)?
  27. 27.A wall is 6 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
  29. 29.A wall is 6 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
  31. 31.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.A rectangular field is 85 m long and 65 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A square has a perimeter of 8 cm. What is its area (in square cm)?
  34. 34.A rectangular field is 65 m long and 35 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.A wall is 11 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
  37. 37.The perimeter of a rectangle is 80 cm and its length is 22 cm. What is its width (in cm)?
  38. 38.The perimeter of a rectangle is 54 cm and its length is 17 cm. What is its width (in cm)?
  39. 39.Each side of a square is 20 cm. What is its perimeter (in cm)?
  40. 40.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?

Answer key

  1. 960
  2. 40
  3. 2210
  4. 2090
  5. 1200
  6. 480
  7. 92
  8. 400
  9. 105
  10. 16
  11. 1620
  12. 6
  13. 58
  14. 2420
  15. 2
  16. 495
  17. 2
  18. 36
  19. 780
  20. 39
  21. 16
  22. 5520
  23. 4
  24. 60
  25. 35
  26. 96
  27. 600
  28. 30
  29. 270
  30. 75
  31. 2400
  32. 6600
  33. 4
  34. 3400
  35. 330
  36. 176
  37. 18
  38. 10
  39. 80
  40. 20

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