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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 694 · 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 wall is 6 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.The perimeter of a rectangle is 30 cm and its length is 9 cm. What is its width (in cm)?
  3. 3.From a rectangle 17 cm long and 10 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.The perimeter of a rectangle is 26 cm and its length is 10 cm. What is its width (in cm)?
  6. 6.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
  7. 7.From a rectangle 7 cm long and 14 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.Each side of a square is 3 cm. What is its perimeter (in cm)?
  9. 9.The perimeter of a rectangle is 86 cm and its length is 28 cm. What is its width (in cm)?
  10. 10.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
  11. 11.Each side of a square is 4 cm. What is its perimeter (in cm)?
  12. 12.From a rectangle 13 cm long and 11 cm wide, a rectangle 1 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  13. 13.A rectangular field is 100 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A wall is 5 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  16. 16.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
  17. 17.A square has a perimeter of 32 cm. What is its area (in square cm)?
  18. 18.A rectangular field is 70 m long and 65 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.A wall is 10 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.The perimeter of a rectangle is 54 cm and its length is 24 cm. What is its width (in cm)?
  21. 21.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
  23. 23.The perimeter of a rectangle is 42 cm and its length is 16 cm. What is its width (in cm)?
  24. 24.A square has a perimeter of 48 cm. What is its area (in square cm)?
  25. 25.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  26. 26.The perimeter of a rectangle is 98 cm and its length is 27 cm. What is its width (in cm)?
  27. 27.A rectangular field is 75 m long and 70 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A wall is 5 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.A square has a perimeter of 28 cm. What is its area (in square cm)?
  30. 30.The perimeter of a rectangle is 34 cm and its length is 9 cm. What is its width (in cm)?
  31. 31.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
  32. 32.A wall is 12 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.Each side of a regular hexagon is 19 cm. What is its perimeter (in cm)?
  34. 34.A wall is 9 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.A rectangular field is 90 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
  37. 37.Each side of a square is 2 cm. What is its perimeter (in cm)?
  38. 38.From a rectangle 11 cm long and 13 cm wide, a rectangle 3 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  40. 40.A wall is 10 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 1500
  2. 6
  3. 164
  4. 990
  5. 3
  6. 2
  7. 89
  8. 12
  9. 15
  10. 144
  11. 16
  12. 136
  13. 1100
  14. 250
  15. 2
  16. 30
  17. 64
  18. 5130
  19. 2700
  20. 3
  21. 3910
  22. 4
  23. 5
  24. 144
  25. 12
  26. 22
  27. 1450
  28. 750
  29. 49
  30. 8
  31. 160
  32. 600
  33. 114
  34. 810
  35. 5040
  36. 32
  37. 8
  38. 110
  39. 21
  40. 1500

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