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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 608 · 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 square has a perimeter of 72 cm. What is its area (in square cm)?
  2. 2.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
  3. 3.A wall is 5 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
  5. 5.A square has a perimeter of 76 cm. What is its area (in square cm)?
  6. 6.A wall is 5 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.A square has a perimeter of 8 cm. What is its area (in square cm)?
  8. 8.From a rectangle 9 cm long and 9 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)?
  9. 9.A square has a perimeter of 56 cm. What is its area (in square cm)?
  10. 10.The perimeter of a rectangle is 26 cm and its length is 10 cm. What is its width (in cm)?
  11. 11.From a rectangle 10 cm long and 11 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)?
  12. 12.A rectangular field is 60 m long and 50 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.The perimeter of a rectangle is 22 cm and its length is 7 cm. What is its width (in cm)?
  14. 14.The perimeter of a rectangle is 66 cm and its length is 30 cm. What is its width (in cm)?
  15. 15.From a rectangle 19 cm long and 7 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.A wall is 11 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A square has a perimeter of 48 cm. What is its area (in square cm)?
  18. 18.From a rectangle 20 cm long and 5 cm wide, a rectangle 16 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 14 cm and its length is 5 cm. What is its width (in cm)?
  20. 20.From a rectangle 14 cm long and 9 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.A wall is 5 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A rectangular field is 65 m long and 40 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.From a rectangle 16 cm long and 12 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)?
  24. 24.From a rectangle 10 cm long and 5 cm wide, a rectangle 8 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.A wall is 10 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.A rectangular field is 75 m long and 70 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.From a rectangle 8 cm long and 7 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)?
  28. 28.The perimeter of a rectangle is 54 cm and its length is 21 cm. What is its width (in cm)?
  29. 29.From a rectangle 13 cm long and 7 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.Each side of a square is 11 cm. What is its perimeter (in cm)?
  31. 31.From a rectangle 6 cm long and 11 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)?
  32. 32.From a rectangle 10 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)?
  33. 33.A wall is 11 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.A square has a perimeter of 32 cm. What is its area (in square cm)?
  35. 35.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
  36. 36.A rectangular field is 85 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.The perimeter of a rectangle is 96 cm and its length is 29 cm. What is its width (in cm)?
  38. 38.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
  39. 39.From a rectangle 8 cm long and 11 cm wide, a rectangle 1 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.From a rectangle 18 cm long and 15 cm wide, a rectangle 14 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 324
  2. 88
  3. 600
  4. 15
  5. 361
  6. 750
  7. 4
  8. 67
  9. 196
  10. 3
  11. 108
  12. 2200
  13. 4
  14. 3
  15. 121
  16. 2750
  17. 144
  18. 84
  19. 2
  20. 119
  21. 1200
  22. 3360
  23. 186
  24. 26
  25. 200
  26. 4060
  27. 55
  28. 6
  29. 76
  30. 44
  31. 64
  32. 82
  33. 330
  34. 64
  35. 24
  36. 1600
  37. 19
  38. 18
  39. 80
  40. 228

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