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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 161 · 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.The perimeter of a rectangle is 26 cm and its length is 9 cm. What is its width (in cm)?
  2. 2.The perimeter of a rectangle is 52 cm and its length is 18 cm. What is its width (in cm)?
  3. 3.A wall is 4 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.A rectangular field is 100 m long and 65 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.Each side of a square is 11 cm. What is its perimeter (in cm)?
  6. 6.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
  7. 7.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
  8. 8.A rectangular field is 85 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.From a rectangle 7 cm long and 7 cm wide, a rectangle 5 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  11. 11.A wall is 8 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.Each side of a regular hexagon is 11 cm. What is its perimeter (in cm)?
  13. 13.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
  14. 14.The perimeter of a rectangle is 54 cm and its length is 18 cm. What is its width (in cm)?
  15. 15.A wall is 5 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  17. 17.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
  18. 18.Each side of a square is 10 cm. What is its perimeter (in cm)?
  19. 19.Each side of a square is 20 cm. What is its perimeter (in cm)?
  20. 20.A square has a perimeter of 40 cm. What is its area (in square cm)?
  21. 21.The perimeter of a rectangle is 44 cm and its length is 12 cm. What is its width (in cm)?
  22. 22.A square has a perimeter of 80 cm. What is its area (in square cm)?
  23. 23.From a rectangle 11 cm long and 6 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.From a rectangle 18 cm long and 7 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.From a rectangle 14 cm long and 12 cm wide, a rectangle 12 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.From a rectangle 10 cm long and 8 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.A square has a perimeter of 68 cm. What is its area (in square cm)?
  29. 29.A rectangular field is 100 m long and 55 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A rectangular field is 60 m long and 55 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A square has a perimeter of 52 cm. What is its area (in square cm)?
  32. 32.A wall is 3 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.The perimeter of a rectangle is 74 cm and its length is 27 cm. What is its width (in cm)?
  34. 34.A rectangular field is 50 m long and 20 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.A square has a perimeter of 16 cm. What is its area (in square cm)?
  36. 36.A rectangular field is 95 m long and 20 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.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 ₹)?
  40. 40.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?

Answer key

  1. 4
  2. 8
  3. 1200
  4. 3300
  5. 44
  6. 3
  7. 69
  8. 2400
  9. 29
  10. 25
  11. 2000
  12. 66
  13. 3
  14. 9
  15. 600
  16. 9
  17. 39
  18. 40
  19. 80
  20. 100
  21. 10
  22. 400
  23. 54
  24. 650
  25. 122
  26. 96
  27. 75
  28. 289
  29. 4340
  30. 2990
  31. 169
  32. 525
  33. 10
  34. 2380
  35. 16
  36. 1840
  37. 1710
  38. 450
  39. 100
  40. 33

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