← 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 157 · 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 48 cm and its length is 21 cm. What is its width (in cm)?
  2. 2.A wall is 3 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.A square has a perimeter of 40 cm. What is its area (in square cm)?
  4. 4.A square has a perimeter of 32 cm. What is its area (in square cm)?
  5. 5.A square has a perimeter of 80 cm. What is its area (in square cm)?
  6. 6.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.From a rectangle 12 cm long and 14 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.Each side of a regular pentagon is 20 cm. What is its perimeter (in cm)?
  10. 10.A wall is 12 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.A rectangular field is 50 m long and 40 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
  13. 13.A rectangular field is 60 m long and 45 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.From a rectangle 15 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)?
  15. 15.From a rectangle 7 cm long and 14 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)?
  16. 16.A wall is 3 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A wall is 4 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.From a rectangle 17 cm long and 5 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)?
  19. 19.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
  20. 20.A square has a perimeter of 36 cm. What is its area (in square cm)?
  21. 21.A wall is 9 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.The perimeter of a rectangle is 86 cm and its length is 24 cm. What is its width (in cm)?
  24. 24.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.Each side of a regular hexagon is 11 cm. What is its perimeter (in cm)?
  26. 26.From a rectangle 7 cm long and 8 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.A rectangular field is 100 m long and 55 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.From a rectangle 19 cm long and 13 cm wide, a rectangle 17 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.From a rectangle 14 cm long and 9 cm wide, a rectangle 6 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
  32. 32.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
  34. 34.From a rectangle 14 cm long and 13 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  36. 36.A wall is 12 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
  38. 38.A square has a perimeter of 56 cm. What is its area (in square cm)?
  39. 39.A rectangular field is 80 m long and 10 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.The perimeter of a rectangle is 22 cm and its length is 8 cm. What is its width (in cm)?

Answer key

  1. 3
  2. 90
  3. 100
  4. 64
  5. 400
  6. 770
  7. 164
  8. 1320
  9. 100
  10. 2400
  11. 4320
  12. 27
  13. 3780
  14. 149
  15. 89
  16. 150
  17. 960
  18. 72
  19. 104
  20. 81
  21. 1350
  22. 720
  23. 19
  24. 1700
  25. 66
  26. 50
  27. 6200
  28. 2400
  29. 77
  30. 102
  31. 138
  32. 960
  33. 16
  34. 176
  35. 42
  36. 1260
  37. 69
  38. 196
  39. 1980
  40. 3

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