← 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 651 · 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.The perimeter of a rectangle is 68 cm and its length is 20 cm. What is its width (in cm)?
  2. 2.A square has a perimeter of 24 cm. What is its area (in square cm)?
  3. 3.A wall is 9 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.The perimeter of a rectangle is 62 cm and its length is 24 cm. What is its width (in cm)?
  6. 6.From a rectangle 14 cm long and 11 cm wide, a rectangle 10 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.From a rectangle 8 cm long and 13 cm wide, a rectangle 4 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
  9. 9.Each side of a square is 10 cm. What is its perimeter (in cm)?
  10. 10.From a rectangle 11 cm long and 9 cm wide, a rectangle 7 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  11. 11.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
  12. 12.The perimeter of a rectangle is 22 cm and its length is 9 cm. What is its width (in cm)?
  13. 13.A wall is 7 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.From a rectangle 19 cm long and 7 cm wide, a rectangle 12 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  15. 15.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
  16. 16.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.The perimeter of a rectangle is 18 cm and its length is 7 cm. What is its width (in cm)?
  18. 18.The perimeter of a rectangle is 52 cm and its length is 16 cm. What is its width (in cm)?
  19. 19.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
  20. 20.The perimeter of a rectangle is 76 cm and its length is 21 cm. What is its width (in cm)?
  21. 21.A square has a perimeter of 64 cm. What is its area (in square cm)?
  22. 22.A wall is 6 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
  24. 24.The perimeter of a rectangle is 70 cm and its length is 23 cm. What is its width (in cm)?
  25. 25.From a rectangle 10 cm long and 13 cm wide, a rectangle 1 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.A square has a perimeter of 16 cm. What is its area (in square cm)?
  27. 27.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
  28. 28.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  29. 29.A rectangular field is 45 m long and 25 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.From a rectangle 13 cm long and 11 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.From a rectangle 7 cm long and 9 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)?
  32. 32.A wall is 10 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
  34. 34.A rectangular field is 90 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.A square has a perimeter of 60 cm. What is its area (in square cm)?
  36. 36.From a rectangle 20 cm long and 10 cm wide, a rectangle 9 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.A square has a perimeter of 20 cm. What is its area (in square cm)?
  38. 38.A wall is 5 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.A square has a perimeter of 48 cm. What is its area (in square cm)?
  40. 40.From a rectangle 20 cm long and 8 cm wide, a rectangle 10 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 14
  2. 36
  3. 900
  4. 2530
  5. 7
  6. 104
  7. 72
  8. 60
  9. 40
  10. 78
  11. 12
  12. 2
  13. 630
  14. 85
  15. 35
  16. 810
  17. 2
  18. 10
  19. 63
  20. 17
  21. 256
  22. 540
  23. 3
  24. 12
  25. 119
  26. 16
  27. 3
  28. 2
  29. 1960
  30. 136
  31. 51
  32. 300
  33. 69
  34. 1050
  35. 225
  36. 128
  37. 25
  38. 300
  39. 144
  40. 150

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