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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 11 · 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.From a rectangle 17 cm long and 15 cm wide, a rectangle 9 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.A wall is 7 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
  4. 4.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
  5. 5.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.The perimeter of a rectangle is 70 cm and its length is 24 cm. What is its width (in cm)?
  7. 7.The perimeter of a rectangle is 40 cm and its length is 15 cm. What is its width (in cm)?
  8. 8.A wall is 9 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.The perimeter of a rectangle is 22 cm and its length is 6 cm. What is its width (in cm)?
  10. 10.A wall is 3 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
  12. 12.A square has a perimeter of 56 cm. What is its area (in square cm)?
  13. 13.A rectangular field is 50 m long and 40 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A wall is 7 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.The perimeter of a rectangle is 30 cm and its length is 12 cm. What is its width (in cm)?
  16. 16.A square has a perimeter of 24 cm. What is its area (in square cm)?
  17. 17.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
  18. 18.The perimeter of a rectangle is 26 cm and its length is 11 cm. What is its width (in cm)?
  19. 19.A rectangular field is 65 m long and 45 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.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 ₹)?
  21. 21.A wall is 12 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A square has a perimeter of 68 cm. What is its area (in square cm)?
  23. 23.A wall is 8 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.A rectangular field is 100 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.A wall is 3 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.A wall is 11 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.A rectangular field is 50 m long and 40 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A square has a perimeter of 64 cm. What is its area (in square cm)?
  29. 29.A wall is 10 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.A wall is 3 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.From a rectangle 8 cm long and 9 cm wide, a rectangle 1 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.A wall is 3 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.The perimeter of a rectangle is 74 cm and its length is 22 cm. What is its width (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.From a rectangle 11 cm long and 8 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.The perimeter of a rectangle is 42 cm and its length is 13 cm. What is its width (in cm)?
  39. 39.A square has a perimeter of 76 cm. What is its area (in square cm)?
  40. 40.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?

Answer key

  1. 237
  2. 1225
  3. 10
  4. 64
  5. 540
  6. 11
  7. 5
  8. 675
  9. 5
  10. 300
  11. 51
  12. 196
  13. 1620
  14. 350
  15. 3
  16. 36
  17. 80
  18. 2
  19. 2420
  20. 330
  21. 960
  22. 289
  23. 960
  24. 3680
  25. 180
  26. 1650
  27. 2520
  28. 256
  29. 200
  30. 270
  31. 2860
  32. 1750
  33. 66
  34. 300
  35. 15
  36. 2
  37. 84
  38. 8
  39. 361
  40. 6

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