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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 636 · 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 72 cm and its length is 20 cm. What is its width (in cm)?
  2. 2.A wall is 6 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.The perimeter of a rectangle is 48 cm and its length is 13 cm. What is its width (in cm)?
  4. 4.A square has a perimeter of 56 cm. What is its area (in square cm)?
  5. 5.A square has a perimeter of 80 cm. What is its area (in square cm)?
  6. 6.The perimeter of a rectangle is 36 cm and its length is 16 cm. What is its width (in cm)?
  7. 7.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  9. 9.The perimeter of a rectangle is 86 cm and its length is 23 cm. What is its width (in cm)?
  10. 10.A wall is 9 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.A square has a perimeter of 24 cm. What is its area (in square cm)?
  12. 12.A rectangular field is 55 m long and 40 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A rectangular field is 90 m long and 60 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.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 ₹)?
  15. 15.Each side of a square is 21 cm. What is its perimeter (in cm)?
  16. 16.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
  17. 17.The perimeter of a rectangle is 98 cm and its length is 26 cm. What is its width (in cm)?
  18. 18.A square has a perimeter of 28 cm. What is its area (in square cm)?
  19. 19.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
  20. 20.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
  21. 21.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 ₹)?
  22. 22.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
  23. 23.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
  24. 24.The perimeter of a rectangle is 52 cm and its length is 16 cm. What is its width (in cm)?
  25. 25.A square has a perimeter of 76 cm. What is its area (in square cm)?
  26. 26.A wall is 3 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
  28. 28.A wall is 3 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A rectangular field is 100 m long and 65 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.From a rectangle 19 cm long and 7 cm wide, a rectangle 8 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.A square has a perimeter of 36 cm. What is its area (in square cm)?
  33. 33.A square has a perimeter of 8 cm. What is its area (in square cm)?
  34. 34.From a rectangle 16 cm long and 5 cm wide, a rectangle 7 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.A wall is 8 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
  37. 37.From a rectangle 11 cm long and 7 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)?
  38. 38.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
  39. 39.A rectangular field is 90 m long and 70 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 16
  2. 1200
  3. 11
  4. 196
  5. 400
  6. 2
  7. 960
  8. 25
  9. 20
  10. 2700
  11. 36
  12. 4560
  13. 3300
  14. 600
  15. 84
  16. 75
  17. 23
  18. 49
  19. 4
  20. 18
  21. 1350
  22. 84
  23. 176
  24. 10
  25. 361
  26. 900
  27. 4
  28. 300
  29. 960
  30. 3630
  31. 101
  32. 81
  33. 4
  34. 59
  35. 720
  36. 125
  37. 65
  38. 126
  39. 6080
  40. 630

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