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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 50 · 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 square has a perimeter of 8 cm. What is its area (in square cm)?
  2. 2.A wall is 7 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.A square has a perimeter of 48 cm. What is its area (in square cm)?
  4. 4.The perimeter of a rectangle is 76 cm and its length is 21 cm. What is its width (in cm)?
  5. 5.A wall is 12 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.A rectangular field is 100 m long and 90 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?
  8. 8.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
  9. 9.Each side of a square is 4 cm. What is its perimeter (in cm)?
  10. 10.The perimeter of a rectangle is 86 cm and its length is 24 cm. What is its width (in cm)?
  11. 11.A rectangular field is 95 m long and 50 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.Each side of a square is 6 cm. What is its perimeter (in cm)?
  13. 13.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  14. 14.The perimeter of a rectangle is 22 cm and its length is 7 cm. What is its width (in cm)?
  15. 15.From a rectangle 10 cm long and 5 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.The perimeter of a rectangle is 48 cm and its length is 14 cm. What is its width (in cm)?
  17. 17.A square has a perimeter of 12 cm. What is its area (in square cm)?
  18. 18.The perimeter of a rectangle is 48 cm and its length is 16 cm. What is its width (in cm)?
  19. 19.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
  20. 20.A square has a perimeter of 72 cm. What is its area (in square cm)?
  21. 21.A wall is 9 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.From a rectangle 7 cm long and 12 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.The perimeter of a rectangle is 52 cm and its length is 20 cm. What is its width (in cm)?
  25. 25.A wall is 11 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.A wall is 7 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.A wall is 8 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.Each side of a square is 5 cm. What is its perimeter (in cm)?
  29. 29.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
  30. 30.Each side of an equilateral triangle is 10 cm. What is its perimeter (in cm)?
  31. 31.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
  32. 32.A rectangular field is 55 m long and 45 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A wall is 11 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
  36. 36.Each side of a regular pentagon is 21 cm. What is its perimeter (in cm)?
  37. 37.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
  38. 38.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
  39. 39.A square has a perimeter of 28 cm. What is its area (in square cm)?
  40. 40.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?

Answer key

  1. 4
  2. 350
  3. 144
  4. 17
  5. 1800
  6. 7220
  7. 20
  8. 18
  9. 16
  10. 19
  11. 3770
  12. 24
  13. 2
  14. 4
  15. 48
  16. 10
  17. 9
  18. 8
  19. 33
  20. 324
  21. 900
  22. 76
  23. 900
  24. 6
  25. 1485
  26. 420
  27. 1200
  28. 20
  29. 56
  30. 30
  31. 152
  32. 5000
  33. 2200
  34. 1260
  35. 120
  36. 105
  37. 80
  38. 96
  39. 49
  40. 75

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