← 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 611 · 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 36 cm and its length is 10 cm. What is its width (in cm)?
  2. 2.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.From a rectangle 7 cm long and 8 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.A square has a perimeter of 44 cm. What is its area (in square cm)?
  5. 5.A square has a perimeter of 52 cm. What is its area (in square cm)?
  6. 6.A rectangular field is 60 m long and 25 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.From a rectangle 13 cm long and 12 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.From a rectangle 19 cm long and 6 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)?
  9. 9.A square has a perimeter of 56 cm. What is its area (in square cm)?
  10. 10.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
  11. 11.The perimeter of a rectangle is 46 cm and its length is 13 cm. What is its width (in cm)?
  12. 12.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
  13. 13.A square has a perimeter of 80 cm. What is its area (in square cm)?
  14. 14.From a rectangle 9 cm long and 11 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  15. 15.From a rectangle 18 cm long and 11 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)?
  16. 16.A rectangular field is 55 m long and 35 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.From a rectangle 16 cm long and 7 cm wide, a rectangle 7 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.Each side of a regular hexagon is 25 cm. What is its perimeter (in cm)?
  20. 20.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  21. 21.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
  22. 22.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
  23. 23.A square has a perimeter of 28 cm. What is its area (in square cm)?
  24. 24.A square has a perimeter of 12 cm. What is its area (in square cm)?
  25. 25.From a rectangle 6 cm long and 15 cm wide, a rectangle 4 cm by 12 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 20 cm. What is its perimeter (in cm)?
  27. 27.The perimeter of a rectangle is 38 cm and its length is 17 cm. What is its width (in cm)?
  28. 28.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  29. 29.From a rectangle 13 cm long and 6 cm wide, a rectangle 7 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.A wall is 5 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.A wall is 7 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  33. 33.From a rectangle 17 cm long and 6 cm wide, a rectangle 13 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.From a rectangle 16 cm long and 9 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.A wall is 4 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.A square has a perimeter of 40 cm. What is its area (in square cm)?
  37. 37.The perimeter of a rectangle is 42 cm and its length is 15 cm. What is its width (in cm)?
  38. 38.A square has a perimeter of 68 cm. What is its area (in square cm)?
  39. 39.The perimeter of a rectangle is 38 cm and its length is 10 cm. What is its width (in cm)?
  40. 40.A square has a perimeter of 72 cm. What is its area (in square cm)?

Answer key

  1. 8
  2. 990
  3. 54
  4. 121
  5. 169
  6. 3740
  7. 124
  8. 90
  9. 196
  10. 33
  11. 10
  12. 75
  13. 400
  14. 93
  15. 150
  16. 1620
  17. 98
  18. 960
  19. 150
  20. 25
  21. 132
  22. 60
  23. 49
  24. 9
  25. 42
  26. 120
  27. 2
  28. 21
  29. 64
  30. 150
  31. 350
  32. 9
  33. 89
  34. 139
  35. 480
  36. 100
  37. 6
  38. 289
  39. 9
  40. 324

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