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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 255 · 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 24 cm. What is its area (in square cm)?
  2. 2.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
  3. 3.A wall is 9 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.A wall is 4 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
  6. 6.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  7. 7.A wall is 9 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.A square has a perimeter of 76 cm. What is its area (in square cm)?
  9. 9.The perimeter of a rectangle is 98 cm and its length is 29 cm. What is its width (in cm)?
  10. 10.A rectangular field is 50 m long and 30 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.A square has a perimeter of 44 cm. What is its area (in square cm)?
  12. 12.The perimeter of a rectangle is 76 cm and its length is 30 cm. What is its width (in cm)?
  13. 13.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.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 ₹)?
  15. 15.A wall is 5 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.A rectangular field is 85 m long and 30 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.A rectangular field is 65 m long and 15 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.A wall is 3 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.Each side of a regular octagon is 25 cm. What is its perimeter (in cm)?
  21. 21.A wall is 3 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A wall is 9 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
  24. 24.From a rectangle 14 cm long and 13 cm wide, a rectangle 9 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.A rectangular field is 60 m long and 45 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.The perimeter of a rectangle is 56 cm and its length is 18 cm. What is its width (in cm)?
  27. 27.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 ₹)?
  28. 28.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A wall is 11 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.A wall is 12 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.A rectangular field is 60 m long and 40 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.The perimeter of a rectangle is 48 cm and its length is 14 cm. What is its width (in cm)?
  33. 33.A rectangular field is 100 m long and 25 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.A rectangular field is 50 m long and 30 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.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 ₹)?
  36. 36.A square has a perimeter of 60 cm. What is its area (in square cm)?
  37. 37.From a rectangle 7 cm long and 9 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.From a rectangle 11 cm long and 8 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)?
  39. 39.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
  40. 40.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 36
  2. 2
  3. 450
  4. 480
  5. 152
  6. 21
  7. 2700
  8. 361
  9. 20
  10. 3200
  11. 121
  12. 8
  13. 540
  14. 400
  15. 350
  16. 2760
  17. 2080
  18. 450
  19. 600
  20. 200
  21. 225
  22. 540
  23. 75
  24. 155
  25. 1470
  26. 10
  27. 400
  28. 2880
  29. 990
  30. 720
  31. 4000
  32. 10
  33. 6000
  34. 1280
  35. 200
  36. 225
  37. 48
  38. 85
  39. 10
  40. 1100

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