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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 268 · 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 16 cm. What is its area (in square cm)?
  2. 2.A rectangular field is 90 m long and 60 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  5. 5.The perimeter of a rectangle is 100 cm and its length is 27 cm. What is its width (in cm)?
  6. 6.A rectangular field is 90 m long and 50 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.A wall is 11 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
  9. 9.The perimeter of a rectangle is 18 cm and its length is 7 cm. What is its width (in cm)?
  10. 10.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
  11. 11.The perimeter of a rectangle is 28 cm and its length is 9 cm. What is its width (in cm)?
  12. 12.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
  13. 13.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A wall is 11 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.A square has a perimeter of 20 cm. What is its area (in square cm)?
  16. 16.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
  17. 17.From a rectangle 14 cm long and 13 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)?
  18. 18.A square has a perimeter of 24 cm. What is its area (in square cm)?
  19. 19.A wall is 8 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.A rectangular field is 95 m long and 80 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.From a rectangle 19 cm long and 12 cm wide, a rectangle 16 cm by 5 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 octagon is 16 cm. What is its perimeter (in cm)?
  23. 23.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.The perimeter of a rectangle is 42 cm and its length is 11 cm. What is its width (in cm)?
  25. 25.A rectangular field is 70 m long and 35 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.Each side of a square is 11 cm. What is its perimeter (in cm)?
  27. 27.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.From a rectangle 16 cm long and 12 cm wide, a rectangle 4 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
  30. 30.A rectangular field is 85 m long and 15 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
  32. 32.A wall is 11 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.The perimeter of a rectangle is 56 cm and its length is 18 cm. What is its width (in cm)?
  34. 34.A rectangular field is 95 m long and 55 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.A rectangular field is 80 m long and 45 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.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 ₹)?
  37. 37.From a rectangle 14 cm long and 9 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)?
  38. 38.A rectangular field is 60 m long and 25 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.A square has a perimeter of 32 cm. What is its area (in square cm)?
  40. 40.Each side of a regular pentagon is 22 cm. What is its perimeter (in cm)?

Answer key

  1. 16
  2. 6000
  3. 1140
  4. 2
  5. 23
  6. 4480
  7. 440
  8. 15
  9. 2
  10. 45
  11. 5
  12. 64
  13. 2640
  14. 990
  15. 25
  16. 3
  17. 161
  18. 36
  19. 640
  20. 3850
  21. 148
  22. 128
  23. 420
  24. 10
  25. 2520
  26. 44
  27. 1920
  28. 168
  29. 6
  30. 3800
  31. 5
  32. 990
  33. 10
  34. 1500
  35. 2500
  36. 840
  37. 120
  38. 1360
  39. 64
  40. 110

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