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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 127 · 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.From a rectangle 9 cm long and 6 cm wide, a rectangle 6 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.A square has a perimeter of 32 cm. What is its area (in square cm)?
  3. 3.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  5. 5.A rectangular field is 100 m long and 30 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
  7. 7.Each side of a square is 8 cm. What is its perimeter (in cm)?
  8. 8.A square has a perimeter of 64 cm. What is its area (in square cm)?
  9. 9.A wall is 5 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.A wall is 4 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.A wall is 4 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A square has a perimeter of 40 cm. What is its area (in square cm)?
  14. 14.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
  15. 15.A square has a perimeter of 28 cm. What is its area (in square cm)?
  16. 16.A square has a perimeter of 60 cm. What is its area (in square cm)?
  17. 17.From a rectangle 6 cm long and 6 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)?
  18. 18.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.From a rectangle 16 cm long and 14 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.A wall is 10 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.The perimeter of a rectangle is 52 cm and its length is 19 cm. What is its width (in cm)?
  22. 22.A rectangular field is 90 m long and 55 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.A rectangular field is 65 m long and 60 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.From a rectangle 16 cm long and 11 cm wide, a rectangle 9 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.A wall is 6 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.A square has a perimeter of 72 cm. What is its area (in square cm)?
  27. 27.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
  28. 28.A square has a perimeter of 80 cm. What is its area (in square cm)?
  29. 29.From a rectangle 6 cm long and 6 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.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 ₹)?
  31. 31.A wall is 10 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.A wall is 4 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.A rectangular field is 55 m long and 30 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.From a rectangle 11 cm long and 14 cm wide, a rectangle 1 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 regular octagon is 10 cm. What is its perimeter (in cm)?
  36. 36.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.The perimeter of a rectangle is 22 cm and its length is 6 cm. What is its width (in cm)?
  38. 38.The perimeter of a rectangle is 62 cm and its length is 17 cm. What is its width (in cm)?
  39. 39.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.The perimeter of a rectangle is 86 cm and its length is 29 cm. What is its width (in cm)?

Answer key

  1. 30
  2. 64
  3. 1300
  4. 42
  5. 4420
  6. 126
  7. 32
  8. 256
  9. 900
  10. 180
  11. 80
  12. 880
  13. 100
  14. 18
  15. 49
  16. 225
  17. 24
  18. 1200
  19. 220
  20. 300
  21. 7
  22. 3480
  23. 2500
  24. 158
  25. 480
  26. 324
  27. 27
  28. 400
  29. 32
  30. 900
  31. 800
  32. 300
  33. 2890
  34. 143
  35. 80
  36. 2210
  37. 5
  38. 14
  39. 990
  40. 14

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