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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 282 · 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.The perimeter of a rectangle is 68 cm and its length is 20 cm. What is its width (in cm)?
  2. 2.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
  3. 3.Each side of a square is 12 cm. What is its perimeter (in cm)?
  4. 4.The perimeter of a rectangle is 84 cm and its length is 27 cm. What is its width (in cm)?
  5. 5.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.A wall is 12 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.From a rectangle 9 cm long and 5 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  9. 9.A rectangular field is 95 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.From a rectangle 7 cm long and 12 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)?
  11. 11.A square has a perimeter of 48 cm. What is its area (in square cm)?
  12. 12.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
  13. 13.A square has a perimeter of 52 cm. What is its area (in square cm)?
  14. 14.A square has a perimeter of 24 cm. What is its area (in square cm)?
  15. 15.A wall is 6 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  17. 17.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
  18. 18.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
  19. 19.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
  20. 20.A wall is 4 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.A wall is 7 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A square has a perimeter of 40 cm. What is its area (in square cm)?
  23. 23.A square has a perimeter of 76 cm. What is its area (in square cm)?
  24. 24.From a rectangle 7 cm long and 13 cm wide, a rectangle 4 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.Each side of a square is 6 cm. What is its perimeter (in cm)?
  26. 26.The perimeter of a rectangle is 60 cm and its length is 28 cm. What is its width (in cm)?
  27. 27.From a rectangle 6 cm long and 5 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.The perimeter of a rectangle is 26 cm and its length is 9 cm. What is its width (in cm)?
  29. 29.Each side of a square is 7 cm. What is its perimeter (in cm)?
  30. 30.A square has a perimeter of 80 cm. What is its area (in square cm)?
  31. 31.The perimeter of a rectangle is 50 cm and its length is 16 cm. What is its width (in cm)?
  32. 32.Each side of a square is 3 cm. What is its perimeter (in cm)?
  33. 33.A wall is 10 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.From a rectangle 12 cm long and 6 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.A wall is 3 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.From a rectangle 18 cm long and 14 cm wide, a rectangle 15 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.A square has a perimeter of 56 cm. What is its area (in square cm)?
  40. 40.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?

Answer key

  1. 14
  2. 54
  3. 48
  4. 15
  5. 3400
  6. 1920
  7. 1000
  8. 42
  9. 4200
  10. 78
  11. 144
  12. 35
  13. 169
  14. 36
  15. 1440
  16. 9
  17. 104
  18. 72
  19. 96
  20. 320
  21. 700
  22. 100
  23. 361
  24. 71
  25. 24
  26. 2
  27. 29
  28. 4
  29. 28
  30. 400
  31. 9
  32. 12
  33. 2400
  34. 1500
  35. 66
  36. 300
  37. 222
  38. 700
  39. 196
  40. 54

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