← 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 217 · 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 octagon is 9 cm. What is its perimeter (in cm)?
  2. 2.A rectangular field is 90 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.From a rectangle 11 cm long and 6 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.The perimeter of a rectangle is 34 cm and its length is 14 cm. What is its width (in cm)?
  5. 5.A square has a perimeter of 28 cm. What is its area (in square cm)?
  6. 6.A wall is 8 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.From a rectangle 7 cm long and 13 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)?
  8. 8.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  9. 9.A rectangular field is 60 m long and 40 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.A rectangular field is 100 m long and 95 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.A square has a perimeter of 72 cm. What is its area (in square 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.A wall is 6 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.A rectangular field is 85 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.From a rectangle 14 cm long and 5 cm wide, a rectangle 10 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.A wall is 8 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.A square has a perimeter of 12 cm. What is its area (in square cm)?
  19. 19.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
  20. 20.A square has a perimeter of 20 cm. What is its area (in square cm)?
  21. 21.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
  22. 22.A square has a perimeter of 76 cm. What is its area (in square cm)?
  23. 23.From a rectangle 9 cm long and 10 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)?
  24. 24.A square has a perimeter of 40 cm. What is its area (in square cm)?
  25. 25.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.The perimeter of a rectangle is 82 cm and its length is 21 cm. What is its width (in cm)?
  27. 27.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
  28. 28.The perimeter of a rectangle is 50 cm and its length is 19 cm. What is its width (in cm)?
  29. 29.A square has a perimeter of 64 cm. What is its area (in square cm)?
  30. 30.A wall is 6 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.Each side of a regular octagon is 25 cm. What is its perimeter (in cm)?
  32. 32.From a rectangle 13 cm long and 13 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)?
  33. 33.A wall is 5 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
  35. 35.The perimeter of a rectangle is 70 cm and its length is 30 cm. What is its width (in cm)?
  36. 36.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
  37. 37.The perimeter of a rectangle is 68 cm and its length is 24 cm. What is its width (in cm)?
  38. 38.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.Each side of a square is 4 cm. What is its perimeter (in cm)?
  40. 40.From a rectangle 15 cm long and 7 cm wide, a rectangle 12 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 72
  2. 1260
  3. 64
  4. 3
  5. 49
  6. 800
  7. 87
  8. 12
  9. 4600
  10. 2730
  11. 1800
  12. 324
  13. 2
  14. 750
  15. 1600
  16. 50
  17. 1600
  18. 9
  19. 54
  20. 25
  21. 40
  22. 361
  23. 89
  24. 100
  25. 2520
  26. 20
  27. 18
  28. 6
  29. 256
  30. 240
  31. 200
  32. 166
  33. 150
  34. 39
  35. 5
  36. 48
  37. 10
  38. 560
  39. 16
  40. 81

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