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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 58 · 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 64 cm. What is its area (in square cm)?
  2. 2.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
  3. 3.A rectangular field is 75 m long and 30 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.From a rectangle 18 cm long and 14 cm wide, a rectangle 16 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  5. 5.A wall is 5 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.The perimeter of a rectangle is 102 cm and its length is 27 cm. What is its width (in cm)?
  7. 7.From a rectangle 13 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)?
  8. 8.A wall is 12 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.A wall is 12 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.Each side of a regular pentagon is 21 cm. What is its perimeter (in cm)?
  11. 11.From a rectangle 7 cm long and 14 cm wide, a rectangle 3 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.The perimeter of a rectangle is 60 cm and its length is 23 cm. What is its width (in cm)?
  13. 13.The perimeter of a rectangle is 44 cm and its length is 17 cm. What is its width (in cm)?
  14. 14.The perimeter of a rectangle is 30 cm and its length is 9 cm. What is its width (in cm)?
  15. 15.The perimeter of a rectangle is 36 cm and its length is 11 cm. What is its width (in cm)?
  16. 16.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
  17. 17.A wall is 10 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.A rectangular field is 65 m long and 35 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.A rectangular field is 55 m long and 50 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A wall is 10 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.A square has a perimeter of 68 cm. What is its area (in square cm)?
  22. 22.A rectangular field is 60 m long and 30 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.From a rectangle 16 cm long and 10 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)?
  24. 24.A square has a perimeter of 28 cm. What is its area (in square cm)?
  25. 25.The perimeter of a rectangle is 20 cm and its length is 8 cm. What is its width (in cm)?
  26. 26.A wall is 12 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.A square has a perimeter of 56 cm. What is its area (in square cm)?
  28. 28.A wall is 7 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  30. 30.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
  31. 31.A wall is 9 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.A square has a perimeter of 12 cm. What is its area (in square cm)?
  33. 33.The perimeter of a rectangle is 70 cm and its length is 22 cm. What is its width (in cm)?
  34. 34.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.The perimeter of a rectangle is 64 cm and its length is 20 cm. What is its width (in cm)?
  36. 36.Each side of a square is 16 cm. What is its perimeter (in cm)?
  37. 37.The perimeter of a rectangle is 56 cm and its length is 17 cm. What is its width (in cm)?
  38. 38.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
  39. 39.A wall is 10 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?

Answer key

  1. 256
  2. 15
  3. 2100
  4. 92
  5. 200
  6. 24
  7. 119
  8. 360
  9. 540
  10. 105
  11. 77
  12. 7
  13. 5
  14. 6
  15. 7
  16. 40
  17. 1200
  18. 4600
  19. 1050
  20. 1050
  21. 289
  22. 2160
  23. 152
  24. 49
  25. 2
  26. 1200
  27. 196
  28. 280
  29. 9
  30. 5
  31. 540
  32. 9
  33. 13
  34. 2310
  35. 12
  36. 64
  37. 11
  38. 72
  39. 750
  40. 6

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