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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 191 · 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.A wall is 5 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
  3. 3.A square has a perimeter of 32 cm. What is its area (in square cm)?
  4. 4.The perimeter of a rectangle is 80 cm and its length is 29 cm. What is its width (in cm)?
  5. 5.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.From a rectangle 13 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)?
  7. 7.A square has a perimeter of 72 cm. What is its area (in square cm)?
  8. 8.A rectangular field is 70 m long and 50 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.A square has a perimeter of 52 cm. What is its area (in square cm)?
  11. 11.The perimeter of a rectangle is 46 cm and its length is 12 cm. What is its width (in cm)?
  12. 12.A wall is 9 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.A rectangular field is 60 m long and 45 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.Each side of a square is 21 cm. What is its perimeter (in cm)?
  15. 15.Each side of a square is 18 cm. What is its perimeter (in cm)?
  16. 16.A wall is 5 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.The perimeter of a rectangle is 54 cm and its length is 24 cm. What is its width (in cm)?
  18. 18.The perimeter of a rectangle is 30 cm and its length is 9 cm. What is its width (in cm)?
  19. 19.A square has a perimeter of 56 cm. What is its area (in square cm)?
  20. 20.A square has a perimeter of 60 cm. What is its area (in square cm)?
  21. 21.A square has a perimeter of 16 cm. What is its area (in square cm)?
  22. 22.The perimeter of a rectangle is 70 cm and its length is 23 cm. What is its width (in cm)?
  23. 23.Each side of a square is 6 cm. What is its perimeter (in cm)?
  24. 24.Each side of a square is 20 cm. What is its perimeter (in cm)?
  25. 25.A rectangular field is 100 m long and 70 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.A square has a perimeter of 80 cm. What is its area (in square cm)?
  27. 27.Each side of a square is 8 cm. What is its perimeter (in cm)?
  28. 28.From a rectangle 11 cm long and 11 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.From a rectangle 7 cm long and 12 cm wide, a rectangle 4 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.The perimeter of a rectangle is 32 cm and its length is 11 cm. What is its width (in cm)?
  31. 31.From a rectangle 6 cm long and 8 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)?
  32. 32.A rectangular field is 65 m long and 50 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.Each side of a regular octagon is 14 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 rectangular field is 45 m long and 15 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.A square has a perimeter of 40 cm. What is its area (in square cm)?
  37. 37.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 ₹)?
  38. 38.From a rectangle 19 cm long and 8 cm wide, a rectangle 15 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.A wall is 4 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 300
  2. 45
  3. 64
  4. 11
  5. 2070
  6. 83
  7. 324
  8. 6000
  9. 2800
  10. 169
  11. 11
  12. 1350
  13. 3360
  14. 84
  15. 72
  16. 1000
  17. 3
  18. 6
  19. 196
  20. 225
  21. 16
  22. 12
  23. 24
  24. 80
  25. 6800
  26. 400
  27. 32
  28. 106
  29. 48
  30. 5
  31. 44
  32. 2760
  33. 112
  34. 36
  35. 2280
  36. 100
  37. 90
  38. 92
  39. 1260
  40. 480

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