← 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 466 · 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.From a rectangle 17 cm long and 12 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)?
  2. 2.From a rectangle 11 cm long and 7 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  3. 3.The perimeter of a rectangle is 32 cm and its length is 9 cm. What is its width (in cm)?
  4. 4.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
  5. 5.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
  6. 6.A square has a perimeter of 32 cm. What is its area (in square cm)?
  7. 7.Each side of a regular octagon is 10 cm. What is its perimeter (in cm)?
  8. 8.Each side of a square is 9 cm. What is its perimeter (in cm)?
  9. 9.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
  10. 10.A square has a perimeter of 24 cm. What is its area (in square cm)?
  11. 11.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
  12. 12.The perimeter of a rectangle is 82 cm and its length is 25 cm. What is its width (in cm)?
  13. 13.The perimeter of a rectangle is 44 cm and its length is 17 cm. What is its width (in cm)?
  14. 14.The perimeter of a rectangle is 64 cm and its length is 25 cm. What is its width (in cm)?
  15. 15.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.From a rectangle 13 cm long and 15 cm wide, a rectangle 3 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.A wall is 11 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
  19. 19.A wall is 5 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.A wall is 10 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.A wall is 6 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.From a rectangle 6 cm long and 6 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.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
  24. 24.A wall is 3 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.Each side of a square is 11 cm. What is its perimeter (in cm)?
  26. 26.From a rectangle 19 cm long and 8 cm wide, a rectangle 10 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A rectangular field is 60 m long and 50 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A rectangular field is 90 m long and 85 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.From a rectangle 6 cm long and 10 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)?
  31. 31.A wall is 11 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.A square has a perimeter of 60 cm. What is its area (in square cm)?
  33. 33.A wall is 8 m long and 3 m high. Painting costs ₹15 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 ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.A wall is 8 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.The perimeter of a rectangle is 46 cm and its length is 15 cm. What is its width (in cm)?
  37. 37.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
  39. 39.A rectangular field is 100 m long and 75 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.From a rectangle 7 cm long and 7 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)?

Answer key

  1. 184
  2. 67
  3. 7
  4. 42
  5. 126
  6. 64
  7. 80
  8. 36
  9. 48
  10. 36
  11. 72
  12. 16
  13. 5
  14. 7
  15. 3300
  16. 177
  17. 1100
  18. 3
  19. 1125
  20. 900
  21. 480
  22. 28
  23. 45
  24. 90
  25. 44
  26. 122
  27. 1200
  28. 4840
  29. 2100
  30. 46
  31. 1980
  32. 225
  33. 360
  34. 1400
  35. 480
  36. 8
  37. 2990
  38. 56
  39. 4900
  40. 45

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