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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 656 · 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 32 cm and its length is 12 cm. What is its width (in cm)?
  2. 2.A square has a perimeter of 76 cm. What is its area (in square cm)?
  3. 3.A square has a perimeter of 44 cm. What is its area (in square cm)?
  4. 4.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
  5. 5.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.From a rectangle 11 cm long and 5 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)?
  7. 7.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
  8. 8.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
  9. 9.A square has a perimeter of 56 cm. What is its area (in square cm)?
  10. 10.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
  11. 11.A wall is 11 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A wall is 7 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.The perimeter of a rectangle is 22 cm and its length is 7 cm. What is its width (in cm)?
  14. 14.From a rectangle 7 cm long and 8 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  15. 15.The perimeter of a rectangle is 34 cm and its length is 15 cm. What is its width (in cm)?
  16. 16.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
  17. 17.The perimeter of a rectangle is 24 cm and its length is 10 cm. What is its width (in cm)?
  18. 18.From a rectangle 19 cm long and 10 cm wide, a rectangle 14 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.From a rectangle 8 cm long and 14 cm wide, a rectangle 2 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.The perimeter of a rectangle is 30 cm and its length is 8 cm. What is its width (in cm)?
  21. 21.The perimeter of a rectangle is 90 cm and its length is 27 cm. What is its width (in cm)?
  22. 22.A square has a perimeter of 20 cm. What is its area (in square cm)?
  23. 23.From a rectangle 8 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)?
  24. 24.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  25. 25.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.The perimeter of a rectangle is 24 cm and its length is 9 cm. What is its width (in cm)?
  27. 27.A rectangular field is 70 m long and 20 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
  29. 29.From a rectangle 13 cm long and 11 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.A wall is 8 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
  32. 32.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
  33. 33.From a rectangle 8 cm long and 10 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)?
  34. 34.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 ₹)?
  35. 35.A wall is 11 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.The perimeter of a rectangle is 52 cm and its length is 16 cm. What is its width (in cm)?
  37. 37.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?
  38. 38.A square has a perimeter of 16 cm. What is its area (in square cm)?
  39. 39.From a rectangle 11 cm long and 11 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)?
  40. 40.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?

Answer key

  1. 4
  2. 361
  3. 121
  4. 192
  5. 3120
  6. 45
  7. 48
  8. 102
  9. 196
  10. 3
  11. 990
  12. 560
  13. 4
  14. 31
  15. 2
  16. 3
  17. 2
  18. 176
  19. 98
  20. 7
  21. 18
  22. 25
  23. 24
  24. 25
  25. 2700
  26. 3
  27. 2700
  28. 4
  29. 128
  30. 800
  31. 112
  32. 56
  33. 56
  34. 180
  35. 1320
  36. 10
  37. 90
  38. 16
  39. 85
  40. 2

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