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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 437 · 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 16 cm and its length is 6 cm. What is its width (in cm)?
  2. 2.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.From a rectangle 14 cm long and 13 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)?
  6. 6.Each side of a square is 4 cm. What is its perimeter (in cm)?
  7. 7.Each side of a square is 13 cm. What is its perimeter (in cm)?
  8. 8.Each side of a square is 9 cm. What is its perimeter (in cm)?
  9. 9.The perimeter of a rectangle is 44 cm and its length is 19 cm. What is its width (in cm)?
  10. 10.From a rectangle 20 cm long and 6 cm wide, a rectangle 8 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  11. 11.The perimeter of a rectangle is 30 cm and its length is 8 cm. What is its width (in cm)?
  12. 12.A wall is 11 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.From a rectangle 13 cm long and 7 cm wide, a rectangle 9 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.A rectangular field is 100 m long and 75 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.From a rectangle 7 cm long and 8 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.A wall is 9 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A wall is 11 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.From a rectangle 19 cm long and 12 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.A rectangular field is 95 m long and 55 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.The perimeter of a rectangle is 38 cm and its length is 13 cm. What is its width (in cm)?
  21. 21.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.A square has a perimeter of 16 cm. What is its area (in square cm)?
  23. 23.From a rectangle 15 cm long and 6 cm wide, a rectangle 11 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.The perimeter of a rectangle is 34 cm and its length is 9 cm. What is its width (in cm)?
  25. 25.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
  26. 26.From a rectangle 14 cm long and 8 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.A wall is 12 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.A wall is 3 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.Each side of a square is 19 cm. What is its perimeter (in cm)?
  30. 30.From a rectangle 17 cm long and 5 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.From a rectangle 9 cm long and 10 cm wide, a rectangle 6 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.Each side of a square is 12 cm. What is its perimeter (in cm)?
  33. 33.From a rectangle 8 cm long and 6 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.A wall is 4 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.A wall is 3 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.From a rectangle 11 cm long and 12 cm wide, a rectangle 4 cm by 1 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 15 cm. What is its perimeter (in cm)?
  40. 40.A wall is 3 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 2
  2. 2860
  3. 1960
  4. 720
  5. 164
  6. 16
  7. 52
  8. 36
  9. 3
  10. 112
  11. 7
  12. 330
  13. 55
  14. 3500
  15. 53
  16. 810
  17. 495
  18. 224
  19. 3900
  20. 6
  21. 2100
  22. 16
  23. 57
  24. 8
  25. 72
  26. 110
  27. 600
  28. 90
  29. 76
  30. 80
  31. 54
  32. 48
  33. 38
  34. 500
  35. 550
  36. 2720
  37. 750
  38. 128
  39. 45
  40. 225

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