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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 647 · 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 24 cm. What is its area (in square cm)?
  2. 2.The perimeter of a rectangle is 70 cm and its length is 18 cm. What is its width (in cm)?
  3. 3.The perimeter of a rectangle is 82 cm and its length is 26 cm. What is its width (in cm)?
  4. 4.From a rectangle 15 cm long and 5 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  5. 5.A square has a perimeter of 20 cm. What is its area (in square cm)?
  6. 6.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
  7. 7.From a rectangle 7 cm long and 15 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)?
  8. 8.From a rectangle 11 cm long and 7 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)?
  9. 9.The perimeter of a rectangle is 82 cm and its length is 22 cm. What is its width (in cm)?
  10. 10.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
  11. 11.A square has a perimeter of 32 cm. What is its area (in square cm)?
  12. 12.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
  13. 13.A wall is 3 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.The perimeter of a rectangle is 42 cm and its length is 15 cm. What is its width (in cm)?
  16. 16.A square has a perimeter of 48 cm. What is its area (in square cm)?
  17. 17.The perimeter of a rectangle is 92 cm and its length is 25 cm. What is its width (in cm)?
  18. 18.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
  19. 19.A rectangular field is 55 m long and 35 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A wall is 6 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
  22. 22.A square has a perimeter of 80 cm. What is its area (in square cm)?
  23. 23.From a rectangle 11 cm long and 8 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.A wall is 12 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.A wall is 6 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.The perimeter of a rectangle is 34 cm and its length is 12 cm. What is its width (in cm)?
  28. 28.A wall is 11 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.From a rectangle 12 cm long and 10 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.From a rectangle 6 cm long and 5 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)?
  31. 31.From a rectangle 12 cm long and 11 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)?
  32. 32.A square has a perimeter of 60 cm. What is its area (in square cm)?
  33. 33.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
  34. 34.Each side of a square is 3 cm. What is its perimeter (in cm)?
  35. 35.A rectangular field is 70 m long and 55 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.A square has a perimeter of 16 cm. What is its area (in square cm)?
  37. 37.A rectangular field is 25 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 13 cm long and 10 cm wide, a rectangle 4 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 60 m long and 20 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.The perimeter of a rectangle is 50 cm and its length is 18 cm. What is its width (in cm)?

Answer key

  1. 36
  2. 17
  3. 15
  4. 71
  5. 25
  6. 64
  7. 69
  8. 73
  9. 19
  10. 15
  11. 64
  12. 3
  13. 450
  14. 990
  15. 6
  16. 144
  17. 21
  18. 152
  19. 2160
  20. 450
  21. 138
  22. 400
  23. 72
  24. 600
  25. 480
  26. 2860
  27. 5
  28. 2475
  29. 105
  30. 18
  31. 104
  32. 225
  33. 75
  34. 12
  35. 6000
  36. 16
  37. 420
  38. 114
  39. 2880
  40. 7

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