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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 242 · 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.Each side of a square is 5 cm. What is its perimeter (in cm)?
  2. 2.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 ₹)?
  3. 3.A wall is 10 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.A square has a perimeter of 8 cm. What is its area (in square cm)?
  5. 5.A square has a perimeter of 76 cm. What is its area (in square cm)?
  6. 6.The perimeter of a rectangle is 102 cm and its length is 29 cm. What is its width (in cm)?
  7. 7.From a rectangle 9 cm long and 8 cm wide, a rectangle 4 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.A square has a perimeter of 16 cm. What is its area (in square cm)?
  9. 9.A wall is 12 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
  11. 11.The perimeter of a rectangle is 46 cm and its length is 20 cm. What is its width (in cm)?
  12. 12.A wall is 9 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.The perimeter of a rectangle is 50 cm and its length is 17 cm. What is its width (in cm)?
  14. 14.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
  15. 15.A wall is 3 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.A square has a perimeter of 44 cm. What is its area (in square cm)?
  17. 17.A rectangular field is 95 m long and 35 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.From a rectangle 11 cm long and 13 cm wide, a rectangle 8 cm by 3 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 46 cm and its length is 18 cm. What is its width (in cm)?
  20. 20.A square has a perimeter of 28 cm. What is its area (in square cm)?
  21. 21.A wall is 6 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.A square has a perimeter of 20 cm. What is its area (in square cm)?
  24. 24.From a rectangle 7 cm long and 9 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)?
  25. 25.A rectangular field is 70 m long and 45 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.A rectangular field is 55 m long and 25 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
  28. 28.The perimeter of a rectangle is 98 cm and its length is 28 cm. What is its width (in cm)?
  29. 29.A square has a perimeter of 40 cm. What is its area (in square cm)?
  30. 30.From a rectangle 15 cm long and 9 cm wide, a rectangle 10 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.A rectangular field is 100 m long and 30 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
  33. 33.From a rectangle 20 cm long and 12 cm wide, a rectangle 6 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.A square has a perimeter of 32 cm. What is its area (in square cm)?
  36. 36.A rectangular field is 55 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.A rectangular field is 80 m long and 65 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.From a rectangle 11 cm long and 5 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.A square has a perimeter of 24 cm. What is its area (in square cm)?
  40. 40.A rectangular field is 75 m long and 20 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 20
  2. 1540
  3. 1350
  4. 4
  5. 361
  6. 22
  7. 52
  8. 16
  9. 1440
  10. 30
  11. 3
  12. 900
  13. 8
  14. 132
  15. 90
  16. 121
  17. 5200
  18. 119
  19. 5
  20. 49
  21. 540
  22. 560
  23. 25
  24. 51
  25. 5750
  26. 2560
  27. 60
  28. 21
  29. 100
  30. 105
  31. 3900
  32. 64
  33. 198
  34. 2210
  35. 64
  36. 780
  37. 3770
  38. 52
  39. 36
  40. 3040

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