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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 663 · 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 11 cm long and 14 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)?
  2. 2.The perimeter of a rectangle is 56 cm and its length is 21 cm. What is its width (in cm)?
  3. 3.A wall is 3 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.From a rectangle 11 cm long and 6 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  5. 5.Each side of a regular octagon is 25 cm. What is its perimeter (in cm)?
  6. 6.From a rectangle 8 cm long and 13 cm wide, a rectangle 5 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
  8. 8.A rectangular field is 90 m long and 30 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.A wall is 4 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.A wall is 7 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.The perimeter of a rectangle is 66 cm and its length is 28 cm. What is its width (in cm)?
  12. 12.A wall is 6 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.A rectangular field is 80 m long and 20 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.From a rectangle 17 cm long and 11 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)?
  16. 16.A wall is 7 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A square has a perimeter of 20 cm. What is its area (in square cm)?
  18. 18.A wall is 7 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.From a rectangle 18 cm long and 9 cm wide, a rectangle 5 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.From a rectangle 16 cm long and 11 cm wide, a rectangle 13 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.From a rectangle 13 cm long and 9 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.From a rectangle 8 cm long and 10 cm wide, a rectangle 3 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.A square has a perimeter of 64 cm. What is its area (in square cm)?
  24. 24.Each side of a square is 4 cm. What is its perimeter (in cm)?
  25. 25.From a rectangle 16 cm long and 8 cm wide, a rectangle 9 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.From a rectangle 14 cm long and 5 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
  28. 28.The perimeter of a rectangle is 46 cm and its length is 21 cm. What is its width (in cm)?
  29. 29.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  30. 30.From a rectangle 7 cm long and 8 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)?
  31. 31.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 ₹)?
  32. 32.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 ₹)?
  33. 33.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  34. 34.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
  35. 35.A wall is 12 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.A wall is 12 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.Each side of a square is 2 cm. What is its perimeter (in cm)?
  38. 38.The perimeter of a rectangle is 42 cm and its length is 11 cm. What is its width (in cm)?
  39. 39.A wall is 6 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.The perimeter of a rectangle is 66 cm and its length is 21 cm. What is its width (in cm)?

Answer key

  1. 146
  2. 7
  3. 150
  4. 64
  5. 200
  6. 49
  7. 32
  8. 1680
  9. 480
  10. 140
  11. 5
  12. 540
  13. 2200
  14. 540
  15. 183
  16. 630
  17. 25
  18. 700
  19. 132
  20. 137
  21. 116
  22. 59
  23. 256
  24. 16
  25. 83
  26. 62
  27. 125
  28. 2
  29. 2
  30. 46
  31. 900
  32. 90
  33. 42
  34. 36
  35. 480
  36. 540
  37. 8
  38. 10
  39. 630
  40. 12

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