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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 583 · 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 20 cm. What is its area (in square cm)?
  2. 2.The perimeter of a rectangle is 42 cm and its length is 18 cm. What is its width (in cm)?
  3. 3.A square has a perimeter of 68 cm. What is its area (in square cm)?
  4. 4.A square has a perimeter of 44 cm. What is its area (in square cm)?
  5. 5.A wall is 11 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.From a rectangle 12 cm long and 5 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)?
  7. 7.The perimeter of a rectangle is 30 cm and its length is 10 cm. What is its width (in cm)?
  8. 8.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 ₹)?
  9. 9.The perimeter of a rectangle is 70 cm and its length is 22 cm. What is its width (in cm)?
  10. 10.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.From a rectangle 16 cm long and 12 cm wide, a rectangle 14 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.From a rectangle 12 cm long and 12 cm wide, a rectangle 1 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  13. 13.A wall is 11 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.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 ₹)?
  15. 15.From a rectangle 16 cm long and 8 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)?
  16. 16.A rectangular field is 75 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.A wall is 7 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.From a rectangle 19 cm long and 7 cm wide, a rectangle 14 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.The perimeter of a rectangle is 56 cm and its length is 22 cm. What is its width (in cm)?
  20. 20.The perimeter of a rectangle is 80 cm and its length is 30 cm. What is its width (in cm)?
  21. 21.Each side of a square is 9 cm. What is its perimeter (in cm)?
  22. 22.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.The perimeter of a rectangle is 34 cm and its length is 12 cm. What is its width (in cm)?
  24. 24.A wall is 5 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.A rectangular field is 70 m long and 35 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.The perimeter of a rectangle is 64 cm and its length is 25 cm. What is its width (in cm)?
  27. 27.The perimeter of a rectangle is 94 cm and its length is 25 cm. What is its width (in cm)?
  28. 28.Each side of a square is 5 cm. What is its perimeter (in cm)?
  29. 29.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A square has a perimeter of 28 cm. What is its area (in square cm)?
  31. 31.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
  32. 32.From a rectangle 6 cm long and 12 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)?
  33. 33.From a rectangle 11 cm long and 11 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.From a rectangle 19 cm long and 10 cm wide, a rectangle 2 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.A wall is 4 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.Each side of a square is 25 cm. What is its perimeter (in cm)?
  37. 37.From a rectangle 10 cm long and 8 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.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 ₹)?
  39. 39.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
  40. 40.A square has a perimeter of 56 cm. What is its area (in square cm)?

Answer key

  1. 25
  2. 3
  3. 289
  4. 121
  5. 495
  6. 54
  7. 5
  8. 800
  9. 13
  10. 3150
  11. 136
  12. 134
  13. 880
  14. 440
  15. 119
  16. 1980
  17. 1050
  18. 119
  19. 6
  20. 10
  21. 36
  22. 1350
  23. 5
  24. 100
  25. 2100
  26. 7
  27. 22
  28. 20
  29. 2310
  30. 49
  31. 80
  32. 66
  33. 113
  34. 178
  35. 160
  36. 100
  37. 74
  38. 675
  39. 4
  40. 196

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