← Perimeter and area: fencing, painting and cut-outs lesson New set →

Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 688 · 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 7 cm. What is its perimeter (in cm)?
  2. 2.Each side of a regular octagon is 13 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.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
  5. 5.Each side of a square is 8 cm. What is its perimeter (in cm)?
  6. 6.The perimeter of a rectangle is 68 cm and its length is 18 cm. What is its width (in cm)?
  7. 7.A square has a perimeter of 44 cm. What is its area (in square cm)?
  8. 8.A rectangular field is 60 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.Each side of a regular octagon is 17 cm. What is its perimeter (in cm)?
  10. 10.From a rectangle 11 cm long and 8 cm wide, a rectangle 9 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  11. 11.Each side of a square is 18 cm. What is its perimeter (in cm)?
  12. 12.A rectangular field is 65 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A wall is 4 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
  16. 16.A wall is 3 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.Each side of a square is 9 cm. What is its perimeter (in cm)?
  19. 19.From a rectangle 11 cm long and 6 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.The perimeter of a rectangle is 62 cm and its length is 17 cm. What is its width (in cm)?
  21. 21.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
  22. 22.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.The perimeter of a rectangle is 26 cm and its length is 10 cm. What is its width (in cm)?
  24. 24.A square has a perimeter of 60 cm. What is its area (in square cm)?
  25. 25.From a rectangle 9 cm long and 8 cm wide, a rectangle 3 cm by 3 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 15 cm. What is its perimeter (in cm)?
  27. 27.A square has a perimeter of 80 cm. What is its area (in square cm)?
  28. 28.A rectangular field is 70 m long and 40 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
  30. 30.From a rectangle 10 cm long and 12 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.From a rectangle 14 cm long and 5 cm wide, a rectangle 8 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.The perimeter of a rectangle is 62 cm and its length is 21 cm. What is its width (in cm)?
  33. 33.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.A wall is 5 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.Each side of a regular hexagon is 19 cm. What is its perimeter (in cm)?
  37. 37.The perimeter of a rectangle is 32 cm and its length is 9 cm. What is its width (in cm)?
  38. 38.The perimeter of a rectangle is 28 cm and its length is 12 cm. What is its width (in cm)?
  39. 39.A square has a perimeter of 48 cm. What is its area (in square cm)?
  40. 40.A rectangular field is 85 m long and 80 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 35
  2. 104
  3. 81
  4. 10
  5. 32
  6. 16
  7. 121
  8. 1200
  9. 136
  10. 79
  11. 72
  12. 1500
  13. 240
  14. 1120
  15. 126
  16. 675
  17. 2750
  18. 36
  19. 51
  20. 14
  21. 45
  22. 1530
  23. 3
  24. 225
  25. 63
  26. 90
  27. 400
  28. 1100
  29. 57
  30. 108
  31. 46
  32. 10
  33. 810
  34. 900
  35. 2040
  36. 114
  37. 7
  38. 2
  39. 144
  40. 5940

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets