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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 379 · 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 7 cm long and 12 cm wide, a rectangle 4 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.A wall is 7 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.A rectangular field is 65 m long and 50 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.From a rectangle 7 cm long and 5 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)?
  5. 5.The perimeter of a rectangle is 18 cm and its length is 7 cm. What is its width (in cm)?
  6. 6.A square has a perimeter of 44 cm. What is its area (in square cm)?
  7. 7.From a rectangle 7 cm long and 5 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.A wall is 7 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
  10. 10.The perimeter of a rectangle is 36 cm and its length is 15 cm. What is its width (in cm)?
  11. 11.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
  12. 12.A square has a perimeter of 28 cm. What is its area (in square cm)?
  13. 13.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 ₹)?
  14. 14.From a rectangle 7 cm long and 11 cm wide, a rectangle 2 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  15. 15.A wall is 6 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.A square has a perimeter of 32 cm. What is its area (in square cm)?
  17. 17.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
  18. 18.A square has a perimeter of 64 cm. What is its area (in square cm)?
  19. 19.Each side of a regular hexagon is 11 cm. What is its perimeter (in cm)?
  20. 20.The perimeter of a rectangle is 50 cm and its length is 23 cm. What is its width (in cm)?
  21. 21.A square has a perimeter of 72 cm. What is its area (in square cm)?
  22. 22.From a rectangle 10 cm long and 13 cm wide, a rectangle 5 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.A wall is 5 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.Each side of a square is 18 cm. What is its perimeter (in cm)?
  25. 25.The perimeter of a rectangle is 70 cm and its length is 23 cm. What is its width (in cm)?
  26. 26.A wall is 8 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
  28. 28.A wall is 5 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.A rectangular field is 65 m long and 20 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.From a rectangle 9 cm long and 7 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
  32. 32.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.From a rectangle 15 cm long and 7 cm wide, a rectangle 10 cm by 4 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 20 cm and its length is 6 cm. What is its width (in cm)?
  35. 35.The perimeter of a rectangle is 30 cm and its length is 13 cm. What is its width (in cm)?
  36. 36.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
  37. 37.A rectangular field is 75 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.From a rectangle 9 cm long and 12 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)?
  39. 39.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
  40. 40.A wall is 6 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 56
  2. 1400
  3. 2070
  4. 29
  5. 2
  6. 121
  7. 34
  8. 1470
  9. 10
  10. 3
  11. 126
  12. 49
  13. 2700
  14. 59
  15. 600
  16. 64
  17. 5
  18. 256
  19. 66
  20. 2
  21. 324
  22. 80
  23. 500
  24. 72
  25. 12
  26. 600
  27. 56
  28. 300
  29. 3570
  30. 54
  31. 33
  32. 1960
  33. 65
  34. 4
  35. 2
  36. 48
  37. 1020
  38. 102
  39. 69
  40. 240

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