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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 172 · 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 13 cm wide, a rectangle 7 cm by 2 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 16 cm and its length is 5 cm. What is its width (in cm)?
  3. 3.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
  4. 4.The perimeter of a rectangle is 28 cm and its length is 11 cm. What is its width (in cm)?
  5. 5.The perimeter of a rectangle is 72 cm and its length is 30 cm. What is its width (in cm)?
  6. 6.A rectangular field is 90 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.The perimeter of a rectangle is 54 cm and its length is 19 cm. What is its width (in cm)?
  10. 10.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
  11. 11.A rectangular field is 90 m long and 50 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.The perimeter of a rectangle is 22 cm and its length is 8 cm. What is its width (in cm)?
  13. 13.From a rectangle 9 cm long and 12 cm wide, a rectangle 6 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
  15. 15.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A wall is 5 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.From a rectangle 20 cm long and 14 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.From a rectangle 6 cm long and 6 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.The perimeter of a rectangle is 30 cm and its length is 13 cm. What is its width (in cm)?
  20. 20.The perimeter of a rectangle is 44 cm and its length is 20 cm. What is its width (in cm)?
  21. 21.From a rectangle 11 cm long and 9 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)?
  22. 22.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
  23. 23.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
  24. 24.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
  25. 25.The perimeter of a rectangle is 40 cm and its length is 15 cm. What is its width (in cm)?
  26. 26.Each side of a regular hexagon is 11 cm. What is its perimeter (in cm)?
  27. 27.Each side of a square is 19 cm. What is its perimeter (in cm)?
  28. 28.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
  29. 29.The perimeter of a rectangle is 74 cm and its length is 30 cm. What is its width (in cm)?
  30. 30.A square has a perimeter of 52 cm. What is its area (in square cm)?
  31. 31.From a rectangle 9 cm long and 12 cm wide, a rectangle 1 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.A wall is 6 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.The perimeter of a rectangle is 64 cm and its length is 25 cm. What is its width (in cm)?
  34. 34.A square has a perimeter of 32 cm. What is its area (in square cm)?
  35. 35.The perimeter of a rectangle is 24 cm and its length is 10 cm. What is its width (in cm)?
  36. 36.A wall is 7 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.From a rectangle 17 cm long and 12 cm wide, a rectangle 6 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.A rectangular field is 70 m long and 40 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.A wall is 11 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.The perimeter of a rectangle is 56 cm and its length is 23 cm. What is its width (in cm)?

Answer key

  1. 103
  2. 3
  3. 54
  4. 3
  5. 6
  6. 1200
  7. 1750
  8. 1430
  9. 8
  10. 50
  11. 2520
  12. 3
  13. 90
  14. 30
  15. 480
  16. 375
  17. 274
  18. 33
  19. 2
  20. 2
  21. 91
  22. 168
  23. 3
  24. 160
  25. 5
  26. 66
  27. 76
  28. 10
  29. 7
  30. 169
  31. 101
  32. 1200
  33. 7
  34. 64
  35. 2
  36. 350
  37. 186
  38. 1760
  39. 1320
  40. 5

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