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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 96 · 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 11 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.A square has a perimeter of 72 cm. What is its area (in square cm)?
  4. 4.A square has a perimeter of 80 cm. What is its area (in square cm)?
  5. 5.A wall is 4 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.A wall is 3 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.A square has a perimeter of 48 cm. What is its area (in square cm)?
  9. 9.The perimeter of a rectangle is 40 cm and its length is 17 cm. What is its width (in cm)?
  10. 10.A square has a perimeter of 16 cm. What is its area (in square cm)?
  11. 11.The perimeter of a rectangle is 52 cm and its length is 15 cm. What is its width (in cm)?
  12. 12.The perimeter of a rectangle is 60 cm and its length is 27 cm. What is its width (in cm)?
  13. 13.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  14. 14.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
  15. 15.A wall is 9 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.A wall is 4 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A square has a perimeter of 44 cm. What is its area (in square cm)?
  18. 18.A wall is 8 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.The perimeter of a rectangle is 76 cm and its length is 25 cm. What is its width (in cm)?
  20. 20.From a rectangle 14 cm long and 13 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)?
  21. 21.A rectangular field is 95 m long and 45 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.From a rectangle 8 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)?
  23. 23.A wall is 8 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.From a rectangle 7 cm long and 9 cm wide, a rectangle 2 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.A rectangular field is 90 m long and 35 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.Each side of a regular pentagon is 17 cm. What is its perimeter (in cm)?
  28. 28.From a rectangle 16 cm long and 9 cm wide, a rectangle 12 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.A square has a perimeter of 8 cm. What is its area (in square cm)?
  30. 30.The perimeter of a rectangle is 94 cm and its length is 29 cm. What is its width (in cm)?
  31. 31.Each side of a regular pentagon is 22 cm. What is its perimeter (in cm)?
  32. 32.A square has a perimeter of 28 cm. What is its area (in square cm)?
  33. 33.The perimeter of a rectangle is 54 cm and its length is 16 cm. What is its width (in cm)?
  34. 34.A wall is 9 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
  36. 36.A wall is 4 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.A square has a perimeter of 24 cm. What is its area (in square cm)?
  38. 38.The perimeter of a rectangle is 82 cm and its length is 26 cm. What is its width (in cm)?
  39. 39.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
  40. 40.From a rectangle 19 cm long and 7 cm wide, a rectangle 2 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 2750
  2. 2280
  3. 324
  4. 400
  5. 540
  6. 90
  7. 630
  8. 144
  9. 3
  10. 16
  11. 11
  12. 3
  13. 36
  14. 75
  15. 450
  16. 360
  17. 121
  18. 600
  19. 13
  20. 161
  21. 7000
  22. 52
  23. 1000
  24. 1170
  25. 53
  26. 2750
  27. 85
  28. 60
  29. 4
  30. 18
  31. 110
  32. 49
  33. 11
  34. 1080
  35. 16
  36. 240
  37. 36
  38. 15
  39. 128
  40. 123

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