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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 507 · 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 a regular pentagon is 11 cm. What is its perimeter (in cm)?
  2. 2.Each side of a square is 16 cm. What is its perimeter (in cm)?
  3. 3.A square has a perimeter of 36 cm. What is its area (in square cm)?
  4. 4.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
  6. 6.A rectangular field is 90 m long and 25 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.A wall is 3 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.A wall is 4 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.The perimeter of a rectangle is 64 cm and its length is 24 cm. What is its width (in cm)?
  10. 10.Each side of a square is 7 cm. What is its perimeter (in cm)?
  11. 11.From a rectangle 20 cm long and 5 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.A square has a perimeter of 76 cm. What is its area (in square cm)?
  13. 13.A rectangular field is 55 m long and 40 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.From a rectangle 8 cm long and 11 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  15. 15.A square has a perimeter of 32 cm. What is its area (in square cm)?
  16. 16.Each side of a square is 2 cm. What is its perimeter (in cm)?
  17. 17.A square has a perimeter of 24 cm. What is its area (in square cm)?
  18. 18.Each side of a square is 11 cm. What is its perimeter (in cm)?
  19. 19.Each side of a square is 14 cm. What is its perimeter (in cm)?
  20. 20.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
  21. 21.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.A wall is 11 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.From a rectangle 9 cm long and 14 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)?
  25. 25.A square has a perimeter of 64 cm. What is its area (in square cm)?
  26. 26.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
  28. 28.A rectangular field is 65 m long and 55 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A rectangular field is 70 m long and 55 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.The perimeter of a rectangle is 56 cm and its length is 21 cm. What is its width (in cm)?
  31. 31.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
  32. 32.From a rectangle 19 cm long and 8 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)?
  33. 33.From a rectangle 15 cm long and 15 cm wide, a rectangle 10 cm by 13 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.Each side of a regular hexagon is 19 cm. What is its perimeter (in cm)?
  35. 35.The perimeter of a rectangle is 52 cm and its length is 14 cm. What is its width (in cm)?
  36. 36.A wall is 5 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.A rectangular field is 95 m long and 75 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.A wall is 11 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.A rectangular field is 75 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?

Answer key

  1. 55
  2. 64
  3. 81
  4. 2280
  5. 126
  6. 5290
  7. 450
  8. 180
  9. 8
  10. 28
  11. 95
  12. 361
  13. 1520
  14. 72
  15. 64
  16. 8
  17. 36
  18. 44
  19. 56
  20. 125
  21. 600
  22. 770
  23. 1750
  24. 112
  25. 256
  26. 990
  27. 144
  28. 2640
  29. 1500
  30. 7
  31. 57
  32. 122
  33. 95
  34. 114
  35. 12
  36. 375
  37. 5780
  38. 1650
  39. 2160
  40. 24

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