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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 263 · 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 rectangular field is 65 m long and 35 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.A wall is 3 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.Each side of a square is 25 cm. What is its perimeter (in cm)?
  4. 4.A square has a perimeter of 24 cm. What is its area (in square cm)?
  5. 5.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
  6. 6.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
  7. 7.A rectangular field is 75 m long and 50 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.The perimeter of a rectangle is 30 cm and its length is 10 cm. What is its width (in cm)?
  9. 9.From a rectangle 11 cm long and 11 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.A wall is 3 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.From a rectangle 19 cm long and 11 cm wide, a rectangle 10 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 18 cm and its length is 7 cm. What is its width (in cm)?
  13. 13.The perimeter of a rectangle is 30 cm and its length is 9 cm. What is its width (in cm)?
  14. 14.A rectangular field is 55 m long and 50 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.The perimeter of a rectangle is 44 cm and its length is 17 cm. What is its width (in cm)?
  16. 16.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
  17. 17.From a rectangle 7 cm long and 12 cm wide, a rectangle 4 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.From a rectangle 15 cm long and 9 cm wide, a rectangle 13 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  20. 20.From a rectangle 8 cm long and 14 cm wide, a rectangle 1 cm by 11 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 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.The perimeter of a rectangle is 54 cm and its length is 19 cm. What is its width (in cm)?
  23. 23.From a rectangle 7 cm long and 5 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.A wall is 11 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
  26. 26.A square has a perimeter of 28 cm. What is its area (in square cm)?
  27. 27.The perimeter of a rectangle is 44 cm and its length is 13 cm. What is its width (in cm)?
  28. 28.A rectangular field is 90 m long and 45 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A square has a perimeter of 16 cm. What is its area (in square cm)?
  30. 30.Each side of a square is 8 cm. What is its perimeter (in cm)?
  31. 31.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  32. 32.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
  33. 33.The perimeter of a rectangle is 38 cm and its length is 14 cm. What is its width (in cm)?
  34. 34.A square has a perimeter of 48 cm. What is its area (in square cm)?
  35. 35.A square has a perimeter of 12 cm. What is its area (in square cm)?
  36. 36.From a rectangle 6 cm long and 11 cm wide, a rectangle 1 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.The perimeter of a rectangle is 34 cm and its length is 13 cm. What is its width (in cm)?
  38. 38.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
  39. 39.From a rectangle 14 cm long and 9 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.Each side of a square is 18 cm. What is its perimeter (in cm)?

Answer key

  1. 1200
  2. 135
  3. 100
  4. 36
  5. 45
  6. 32
  7. 2000
  8. 5
  9. 115
  10. 180
  11. 139
  12. 2
  13. 6
  14. 2520
  15. 5
  16. 128
  17. 60
  18. 44
  19. 25
  20. 101
  21. 400
  22. 8
  23. 30
  24. 550
  25. 144
  26. 49
  27. 9
  28. 5400
  29. 16
  30. 32
  31. 12
  32. 160
  33. 5
  34. 144
  35. 9
  36. 59
  37. 4
  38. 24
  39. 101
  40. 72

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