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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 284 · 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 5 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.The perimeter of a rectangle is 42 cm and its length is 16 cm. What is its width (in cm)?
  3. 3.From a rectangle 19 cm long and 6 cm wide, a rectangle 8 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.From a rectangle 11 cm long and 6 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)?
  5. 5.The perimeter of a rectangle is 18 cm and its length is 7 cm. What is its width (in cm)?
  6. 6.From a rectangle 14 cm long and 15 cm wide, a rectangle 4 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.A wall is 3 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.The perimeter of a rectangle is 30 cm and its length is 9 cm. What is its width (in cm)?
  9. 9.From a rectangle 6 cm long and 5 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.A rectangular field is 90 m long and 80 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 20 cm. What is its area (in square cm)?
  12. 12.Each side of a regular octagon is 25 cm. What is its perimeter (in cm)?
  13. 13.From a rectangle 20 cm long and 14 cm wide, a rectangle 15 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.A wall is 7 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.From a rectangle 12 cm long and 13 cm wide, a rectangle 8 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
  17. 17.A rectangular field is 60 m long and 25 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.The perimeter of a rectangle is 28 cm and its length is 8 cm. What is its width (in cm)?
  19. 19.A square has a perimeter of 56 cm. What is its area (in square cm)?
  20. 20.A square has a perimeter of 16 cm. What is its area (in square cm)?
  21. 21.A wall is 11 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A square has a perimeter of 76 cm. What is its area (in square cm)?
  23. 23.A square has a perimeter of 68 cm. What is its area (in square cm)?
  24. 24.A rectangular field is 80 m long and 75 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.Each side of a regular pentagon is 18 cm. What is its perimeter (in cm)?
  27. 27.A rectangular field is 85 m long and 30 m wide. Fencing costs ₹16 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 8 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.A wall is 8 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.The perimeter of a rectangle is 42 cm and its length is 14 cm. What is its width (in cm)?
  32. 32.A wall is 7 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  34. 34.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
  35. 35.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.Each side of a square is 15 cm. What is its perimeter (in cm)?
  37. 37.A square has a perimeter of 12 cm. What is its area (in square cm)?
  38. 38.From a rectangle 20 cm long and 5 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)?
  39. 39.A wall is 10 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.A rectangular field is 80 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 200
  2. 5
  3. 106
  4. 45
  5. 2
  6. 174
  7. 240
  8. 6
  9. 22
  10. 6800
  11. 25
  12. 200
  13. 115
  14. 280
  15. 76
  16. 45
  17. 850
  18. 6
  19. 196
  20. 16
  21. 1540
  22. 361
  23. 289
  24. 6510
  25. 1350
  26. 90
  27. 3680
  28. 256
  29. 240
  30. 320
  31. 7
  32. 420
  33. 25
  34. 144
  35. 750
  36. 60
  37. 9
  38. 98
  39. 600
  40. 2340

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