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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 684 · 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 56 cm. What is its area (in square cm)?
  2. 2.The perimeter of a rectangle is 66 cm and its length is 23 cm. What is its width (in cm)?
  3. 3.A wall is 7 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.Each side of a square is 4 cm. What is its perimeter (in cm)?
  5. 5.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  6. 6.A square has a perimeter of 16 cm. What is its area (in square cm)?
  7. 7.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.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 ₹)?
  9. 9.The perimeter of a rectangle is 30 cm and its length is 12 cm. What is its width (in cm)?
  10. 10.Each side of an equilateral triangle is 10 cm. What is its perimeter (in cm)?
  11. 11.From a rectangle 11 cm long and 7 cm wide, a rectangle 6 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.The perimeter of a rectangle is 66 cm and its length is 21 cm. What is its width (in cm)?
  13. 13.Each side of a square is 17 cm. What is its perimeter (in cm)?
  14. 14.A wall is 7 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.A wall is 3 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.The perimeter of a rectangle is 48 cm and its length is 14 cm. What is its width (in cm)?
  18. 18.A square has a perimeter of 8 cm. What is its area (in square cm)?
  19. 19.Each side of a square is 24 cm. What is its perimeter (in cm)?
  20. 20.The perimeter of a rectangle is 38 cm and its length is 10 cm. What is its width (in cm)?
  21. 21.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 ₹)?
  22. 22.A rectangular field is 100 m long and 80 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.A wall is 6 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.Each side of a square is 20 cm. What is its perimeter (in cm)?
  25. 25.A wall is 8 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.From a rectangle 12 cm long and 5 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)?
  27. 27.A rectangular field is 60 m long and 45 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A wall is 6 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.A square has a perimeter of 80 cm. What is its area (in square cm)?
  31. 31.A square has a perimeter of 40 cm. What is its area (in square cm)?
  32. 32.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
  33. 33.The perimeter of a rectangle is 76 cm and its length is 27 cm. What is its width (in cm)?
  34. 34.A wall is 3 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.Each side of a square is 18 cm. What is its perimeter (in cm)?
  36. 36.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
  37. 37.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
  38. 38.A wall is 3 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.From a rectangle 7 cm long and 7 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)?
  40. 40.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 196
  2. 10
  3. 350
  4. 16
  5. 2
  6. 16
  7. 2420
  8. 700
  9. 3
  10. 30
  11. 59
  12. 12
  13. 68
  14. 700
  15. 180
  16. 2250
  17. 10
  18. 4
  19. 96
  20. 9
  21. 300
  22. 2520
  23. 900
  24. 80
  25. 560
  26. 44
  27. 3990
  28. 2880
  29. 750
  30. 400
  31. 100
  32. 66
  33. 11
  34. 240
  35. 72
  36. 120
  37. 152
  38. 60
  39. 41
  40. 2250

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