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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 491 · 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 8 cm long and 9 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)?
  2. 2.From a rectangle 12 cm long and 10 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)?
  3. 3.A wall is 5 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
  5. 5.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
  6. 6.The perimeter of a rectangle is 104 cm and its length is 30 cm. What is its width (in cm)?
  7. 7.The perimeter of a rectangle is 54 cm and its length is 15 cm. What is its width (in cm)?
  8. 8.A square has a perimeter of 16 cm. What is its area (in square cm)?
  9. 9.A rectangular field is 95 m long and 25 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.A wall is 9 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.A square has a perimeter of 28 cm. What is its area (in square cm)?
  12. 12.From a rectangle 6 cm long and 7 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)?
  13. 13.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.Each side of an equilateral triangle is 10 cm. What is its perimeter (in cm)?
  15. 15.From a rectangle 10 cm long and 9 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)?
  16. 16.A square has a perimeter of 52 cm. What is its area (in square cm)?
  17. 17.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.A wall is 5 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.The perimeter of a rectangle is 48 cm and its length is 20 cm. What is its width (in cm)?
  20. 20.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  21. 21.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
  22. 22.A wall is 3 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.A rectangular field is 55 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.From a rectangle 14 cm long and 14 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)?
  25. 25.The perimeter of a rectangle is 18 cm and its length is 7 cm. What is its width (in cm)?
  26. 26.A rectangular field is 65 m long and 25 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.Each side of a regular octagon is 23 cm. What is its perimeter (in cm)?
  28. 28.A square has a perimeter of 76 cm. What is its area (in square cm)?
  29. 29.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)?
  30. 30.A rectangular field is 80 m long and 25 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.Each side of a regular hexagon is 11 cm. What is its perimeter (in cm)?
  32. 32.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
  33. 33.A square has a perimeter of 60 cm. What is its area (in square cm)?
  34. 34.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.A wall is 10 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.A square has a perimeter of 40 cm. What is its area (in square cm)?
  37. 37.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.A rectangular field is 90 m long and 75 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.A square has a perimeter of 36 cm. What is its area (in square cm)?
  40. 40.Each side of a regular pentagon is 21 cm. What is its perimeter (in cm)?

Answer key

  1. 70
  2. 114
  3. 350
  4. 56
  5. 144
  6. 22
  7. 12
  8. 16
  9. 6000
  10. 720
  11. 49
  12. 34
  13. 1540
  14. 30
  15. 65
  16. 169
  17. 560
  18. 150
  19. 4
  20. 42
  21. 132
  22. 630
  23. 3360
  24. 172
  25. 2
  26. 3420
  27. 184
  28. 361
  29. 24
  30. 5040
  31. 66
  32. 45
  33. 225
  34. 980
  35. 1000
  36. 100
  37. 780
  38. 4290
  39. 81
  40. 105

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