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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 664 · 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 9 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
  3. 3.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
  4. 4.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.The perimeter of a rectangle is 38 cm and its length is 11 cm. What is its width (in cm)?
  6. 6.A square has a perimeter of 24 cm. What is its area (in square cm)?
  7. 7.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.A wall is 11 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.From a rectangle 6 cm long and 10 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)?
  10. 10.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
  11. 11.A wall is 4 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A square has a perimeter of 12 cm. What is its area (in square cm)?
  13. 13.The perimeter of a rectangle is 106 cm and its length is 28 cm. What is its width (in cm)?
  14. 14.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.From a rectangle 19 cm long and 12 cm wide, a rectangle 5 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.The perimeter of a rectangle is 42 cm and its length is 11 cm. What is its width (in cm)?
  17. 17.The perimeter of a rectangle is 58 cm and its length is 20 cm. What is its width (in cm)?
  18. 18.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
  19. 19.A rectangular field is 55 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.The perimeter of a rectangle is 22 cm and its length is 8 cm. What is its width (in cm)?
  21. 21.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
  22. 22.A wall is 3 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.A wall is 6 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.From a rectangle 10 cm long and 5 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)?
  25. 25.Each side of a regular pentagon is 18 cm. What is its perimeter (in cm)?
  26. 26.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.A square has a perimeter of 20 cm. What is its area (in square cm)?
  28. 28.The perimeter of a rectangle is 24 cm and its length is 9 cm. What is its width (in cm)?
  29. 29.A square has a perimeter of 56 cm. What is its area (in square cm)?
  30. 30.The perimeter of a rectangle is 96 cm and its length is 27 cm. What is its width (in cm)?
  31. 31.From a rectangle 14 cm long and 14 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.Each side of a square is 3 cm. What is its perimeter (in cm)?
  33. 33.From a rectangle 10 cm long and 15 cm wide, a rectangle 8 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.The perimeter of a rectangle is 34 cm and its length is 9 cm. What is its width (in cm)?
  35. 35.Each side of a square is 9 cm. What is its perimeter (in cm)?
  36. 36.From a rectangle 14 cm long and 5 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)?
  37. 37.A square has a perimeter of 72 cm. What is its area (in square cm)?
  38. 38.From a rectangle 6 cm long and 12 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)?
  39. 39.From a rectangle 9 cm long and 7 cm wide, a rectangle 6 cm by 1 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 16 cm and its length is 6 cm. What is its width (in cm)?

Answer key

  1. 2700
  2. 4
  3. 72
  4. 900
  5. 8
  6. 36
  7. 900
  8. 660
  9. 46
  10. 55
  11. 240
  12. 9
  13. 25
  14. 3230
  15. 183
  16. 10
  17. 9
  18. 72
  19. 1050
  20. 3
  21. 54
  22. 240
  23. 600
  24. 48
  25. 90
  26. 1120
  27. 25
  28. 3
  29. 196
  30. 21
  31. 184
  32. 12
  33. 86
  34. 8
  35. 36
  36. 68
  37. 324
  38. 64
  39. 57
  40. 2

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