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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 203 · 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 54 cm and its length is 16 cm. What is its width (in cm)?
  3. 3.From a rectangle 13 cm long and 12 cm wide, a rectangle 5 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.The perimeter of a rectangle is 80 cm and its length is 23 cm. What is its width (in cm)?
  5. 5.From a rectangle 10 cm long and 7 cm wide, a rectangle 7 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.Each side of a square is 20 cm. What is its perimeter (in cm)?
  7. 7.A wall is 9 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.A square has a perimeter of 44 cm. What is its area (in square cm)?
  9. 9.A wall is 4 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.The perimeter of a rectangle is 44 cm and its length is 20 cm. What is its width (in cm)?
  11. 11.The perimeter of a rectangle is 26 cm and its length is 10 cm. What is its width (in cm)?
  12. 12.A square has a perimeter of 48 cm. What is its area (in square cm)?
  13. 13.A rectangular field is 70 m long and 40 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
  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 rectangular field is 60 m long and 45 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.A rectangular field is 95 m long and 35 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.A rectangular field is 50 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.A wall is 11 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.A wall is 10 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.The perimeter of a rectangle is 38 cm and its length is 12 cm. What is its width (in cm)?
  23. 23.A square has a perimeter of 68 cm. What is its area (in square cm)?
  24. 24.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.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 ₹)?
  26. 26.A rectangular field is 50 m long and 40 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.A wall is 7 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.Each side of a square is 8 cm. What is its perimeter (in cm)?
  29. 29.A square has a perimeter of 60 cm. What is its area (in square cm)?
  30. 30.From a rectangle 10 cm long and 6 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.A wall is 8 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.From a rectangle 13 cm long and 7 cm wide, a rectangle 7 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
  34. 34.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
  35. 35.A wall is 3 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.A square has a perimeter of 56 cm. What is its area (in square cm)?
  37. 37.A rectangular field is 95 m long and 40 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.A rectangular field is 70 m long and 45 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.A rectangular field is 90 m long and 30 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?

Answer key

  1. 36
  2. 11
  3. 121
  4. 17
  5. 35
  6. 80
  7. 405
  8. 121
  9. 1000
  10. 2
  11. 3
  12. 144
  13. 1980
  14. 104
  15. 3
  16. 1890
  17. 3900
  18. 980
  19. 1100
  20. 800
  21. 2160
  22. 7
  23. 289
  24. 420
  25. 720
  26. 4500
  27. 945
  28. 32
  29. 225
  30. 51
  31. 1600
  32. 63
  33. 4
  34. 168
  35. 630
  36. 196
  37. 3510
  38. 5290
  39. 2160
  40. 25

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