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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 547 · 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.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
  2. 2.From a rectangle 11 cm long and 14 cm wide, a rectangle 7 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  3. 3.From a rectangle 10 cm long and 9 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)?
  4. 4.A square has a perimeter of 12 cm. What is its area (in square cm)?
  5. 5.A rectangular field is 80 m long and 35 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.A square has a perimeter of 64 cm. What is its area (in square cm)?
  7. 7.From a rectangle 7 cm long and 5 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)?
  8. 8.The perimeter of a rectangle is 46 cm and its length is 13 cm. What is its width (in cm)?
  9. 9.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
  10. 10.From a rectangle 12 cm long and 13 cm wide, a rectangle 8 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  11. 11.Each side of a square is 10 cm. What is its perimeter (in cm)?
  12. 12.The perimeter of a rectangle is 22 cm and its length is 9 cm. What is its width (in cm)?
  13. 13.A rectangular field is 95 m long and 90 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.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 ₹)?
  15. 15.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A wall is 11 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.The perimeter of a rectangle is 80 cm and its length is 23 cm. What is its width (in cm)?
  18. 18.The perimeter of a rectangle is 28 cm and its length is 8 cm. What is its width (in cm)?
  19. 19.A rectangular field is 60 m long and 50 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
  21. 21.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
  22. 22.A wall is 8 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
  24. 24.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  25. 25.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.Each side of a square is 13 cm. What is its perimeter (in cm)?
  27. 27.A rectangular field is 60 m long and 50 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A rectangular field is 95 m long and 80 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A wall is 8 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.A square has a perimeter of 44 cm. What is its area (in square cm)?
  31. 31.The perimeter of a rectangle is 104 cm and its length is 28 cm. What is its width (in cm)?
  32. 32.A wall is 6 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.The perimeter of a rectangle is 32 cm and its length is 13 cm. What is its width (in cm)?
  34. 34.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
  35. 35.From a rectangle 16 cm long and 9 cm wide, a rectangle 11 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
  37. 37.The perimeter of a rectangle is 42 cm and its length is 18 cm. What is its width (in cm)?
  38. 38.From a rectangle 6 cm long and 10 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)?
  39. 39.From a rectangle 7 cm long and 10 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)?
  40. 40.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?

Answer key

  1. 72
  2. 70
  3. 81
  4. 9
  5. 4370
  6. 256
  7. 33
  8. 10
  9. 115
  10. 68
  11. 40
  12. 2
  13. 3330
  14. 750
  15. 1400
  16. 220
  17. 17
  18. 6
  19. 3520
  20. 66
  21. 24
  22. 800
  23. 72
  24. 42
  25. 1440
  26. 52
  27. 5280
  28. 5250
  29. 560
  30. 121
  31. 24
  32. 420
  33. 3
  34. 75
  35. 111
  36. 78
  37. 3
  38. 54
  39. 63
  40. 48

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