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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 553 · 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 20 cm. What is its perimeter (in cm)?
  2. 2.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)?
  3. 3.From a rectangle 18 cm long and 8 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.A wall is 3 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.A wall is 3 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.A wall is 8 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
  8. 8.A rectangular field is 45 m long and 25 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
  10. 10.A square has a perimeter of 12 cm. What is its area (in square cm)?
  11. 11.From a rectangle 6 cm long and 12 cm wide, a rectangle 1 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.The perimeter of a rectangle is 48 cm and its length is 13 cm. What is its width (in cm)?
  14. 14.From a rectangle 6 cm long and 5 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  15. 15.The perimeter of a rectangle is 58 cm and its length is 17 cm. What is its width (in cm)?
  16. 16.A wall is 6 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.Each side of a square is 2 cm. What is its perimeter (in cm)?
  18. 18.A rectangular field is 100 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A square has a perimeter of 36 cm. What is its area (in square cm)?
  22. 22.A square has a perimeter of 20 cm. What is its area (in square cm)?
  23. 23.A square has a perimeter of 24 cm. What is its area (in square cm)?
  24. 24.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.From a rectangle 7 cm long and 12 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  27. 27.A square has a perimeter of 44 cm. What is its area (in square cm)?
  28. 28.A rectangular field is 90 m long and 70 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
  30. 30.A square has a perimeter of 72 cm. What is its area (in square cm)?
  31. 31.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?
  32. 32.From a rectangle 18 cm long and 8 cm wide, a rectangle 7 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
  35. 35.From a rectangle 14 cm long and 11 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.The perimeter of a rectangle is 26 cm and its length is 8 cm. What is its width (in cm)?
  37. 37.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
  38. 38.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.Each side of a square is 16 cm. What is its perimeter (in cm)?
  40. 40.The perimeter of a rectangle is 82 cm and its length is 23 cm. What is its width (in cm)?

Answer key

  1. 60
  2. 90
  3. 139
  4. 210
  5. 240
  6. 1120
  7. 65
  8. 2800
  9. 15
  10. 9
  11. 66
  12. 1170
  13. 11
  14. 26
  15. 12
  16. 840
  17. 8
  18. 2760
  19. 1200
  20. 360
  21. 81
  22. 25
  23. 36
  24. 1920
  25. 80
  26. 36
  27. 121
  28. 3520
  29. 48
  30. 324
  31. 20
  32. 109
  33. 880
  34. 12
  35. 148
  36. 5
  37. 55
  38. 1260
  39. 64
  40. 18

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