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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 660 · 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 78 cm and its length is 25 cm. What is its width (in cm)?
  2. 2.A square has a perimeter of 56 cm. What is its area (in square cm)?
  3. 3.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
  4. 4.The perimeter of a rectangle is 36 cm and its length is 16 cm. What is its width (in cm)?
  5. 5.A wall is 8 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.A wall is 7 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  8. 8.A rectangular field is 85 m long and 65 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.The perimeter of a rectangle is 32 cm and its length is 12 cm. What is its width (in cm)?
  10. 10.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
  11. 11.The perimeter of a rectangle is 32 cm and its length is 11 cm. What is its width (in cm)?
  12. 12.A wall is 4 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.Each side of a square is 2 cm. What is its perimeter (in cm)?
  14. 14.A rectangular field is 70 m long and 25 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.The perimeter of a rectangle is 38 cm and its length is 14 cm. What is its width (in cm)?
  16. 16.A square has a perimeter of 24 cm. What is its area (in square cm)?
  17. 17.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.A square has a perimeter of 36 cm. What is its area (in square cm)?
  19. 19.A wall is 3 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.A rectangular field is 60 m long and 45 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
  22. 22.The perimeter of a rectangle is 58 cm and its length is 25 cm. What is its width (in cm)?
  23. 23.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A square has a perimeter of 60 cm. What is its area (in square cm)?
  25. 25.A wall is 3 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.The perimeter of a rectangle is 56 cm and its length is 21 cm. What is its width (in cm)?
  27. 27.A square has a perimeter of 68 cm. What is its area (in square cm)?
  28. 28.From a rectangle 11 cm long and 9 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)?
  29. 29.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
  30. 30.From a rectangle 15 cm long and 10 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.The perimeter of a rectangle is 30 cm and its length is 8 cm. What is its width (in cm)?
  32. 32.A rectangular field is 85 m long and 25 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
  34. 34.From a rectangle 19 cm long and 14 cm wide, a rectangle 10 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.Each side of a square is 19 cm. What is its perimeter (in cm)?
  36. 36.Each side of a square is 14 cm. What is its perimeter (in cm)?
  37. 37.The perimeter of a rectangle is 60 cm and its length is 23 cm. What is its width (in cm)?
  38. 38.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 ₹)?
  39. 39.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 ₹)?
  40. 40.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?

Answer key

  1. 14
  2. 196
  3. 72
  4. 2
  5. 1120
  6. 1400
  7. 42
  8. 7500
  9. 4
  10. 42
  11. 5
  12. 700
  13. 8
  14. 2280
  15. 5
  16. 36
  17. 810
  18. 81
  19. 600
  20. 2940
  21. 120
  22. 4
  23. 2000
  24. 225
  25. 150
  26. 7
  27. 289
  28. 97
  29. 40
  30. 134
  31. 7
  32. 3520
  33. 54
  34. 156
  35. 76
  36. 56
  37. 7
  38. 800
  39. 160
  40. 69

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