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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 77 · 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 8 cm. What is its perimeter (in cm)?
  2. 2.A square has a perimeter of 28 cm. What is its area (in square cm)?
  3. 3.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
  4. 4.From a rectangle 17 cm long and 14 cm wide, a rectangle 15 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  5. 5.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
  7. 7.A square has a perimeter of 48 cm. What is its area (in square cm)?
  8. 8.A wall is 12 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.The perimeter of a rectangle is 78 cm and its length is 29 cm. What is its width (in cm)?
  10. 10.The perimeter of a rectangle is 52 cm and its length is 14 cm. What is its width (in cm)?
  11. 11.A square has a perimeter of 80 cm. What is its area (in square cm)?
  12. 12.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.From a rectangle 19 cm long and 9 cm wide, a rectangle 7 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
  15. 15.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  17. 17.A square has a perimeter of 36 cm. What is its area (in square cm)?
  18. 18.From a rectangle 16 cm long and 7 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)?
  19. 19.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A square has a perimeter of 8 cm. What is its area (in square cm)?
  21. 21.The perimeter of a rectangle is 88 cm and its length is 28 cm. What is its width (in cm)?
  22. 22.Each side of a square is 15 cm. What is its perimeter (in cm)?
  23. 23.A wall is 4 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
  25. 25.A rectangular field is 80 m long and 20 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.From a rectangle 8 cm long and 12 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)?
  27. 27.A rectangular field is 75 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
  29. 29.From a rectangle 9 cm long and 6 cm wide, a rectangle 7 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.A rectangular field is 100 m long and 40 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
  32. 32.The perimeter of a rectangle is 28 cm and its length is 12 cm. What is its width (in cm)?
  33. 33.From a rectangle 16 cm long and 6 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)?
  34. 34.The perimeter of a rectangle is 50 cm and its length is 23 cm. What is its width (in cm)?
  35. 35.A wall is 8 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
  37. 37.A wall is 3 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.A square has a perimeter of 60 cm. What is its area (in square cm)?
  39. 39.From a rectangle 10 cm long and 9 cm wide, a rectangle 6 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.From a rectangle 15 cm long and 15 cm wide, a rectangle 13 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 24
  2. 49
  3. 63
  4. 88
  5. 800
  6. 138
  7. 144
  8. 1440
  9. 10
  10. 12
  11. 400
  12. 1100
  13. 122
  14. 88
  15. 1320
  16. 9
  17. 81
  18. 110
  19. 1350
  20. 4
  21. 16
  22. 60
  23. 160
  24. 40
  25. 3400
  26. 82
  27. 850
  28. 75
  29. 26
  30. 2240
  31. 112
  32. 2
  33. 90
  34. 2
  35. 600
  36. 72
  37. 270
  38. 225
  39. 48
  40. 212

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