← 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 21 · 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.A rectangular field is 75 m long and 65 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
  3. 3.A wall is 3 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.A square has a perimeter of 12 cm. What is its area (in square cm)?
  5. 5.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.The perimeter of a rectangle is 66 cm and its length is 25 cm. What is its width (in cm)?
  7. 7.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
  8. 8.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
  9. 9.A rectangular field is 75 m long and 60 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.A wall is 12 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.From a rectangle 20 cm long and 14 cm wide, a rectangle 17 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.A wall is 11 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.The perimeter of a rectangle is 30 cm and its length is 9 cm. What is its width (in cm)?
  14. 14.A wall is 9 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.From a rectangle 8 cm long and 8 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)?
  16. 16.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
  17. 17.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.A wall is 9 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.A rectangular field is 85 m long and 55 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
  21. 21.From a rectangle 14 cm long and 5 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)?
  22. 22.A square has a perimeter of 52 cm. What is its area (in square cm)?
  23. 23.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  24. 24.A wall is 5 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.From a rectangle 16 cm long and 7 cm wide, a rectangle 9 cm by 2 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 20 cm. What is its area (in square cm)?
  27. 27.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  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 35 m long and 25 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.A rectangular field is 85 m long and 30 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.The perimeter of a rectangle is 94 cm and its length is 25 cm. What is its width (in cm)?
  34. 34.A wall is 10 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.From a rectangle 11 cm long and 11 cm wide, a rectangle 9 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.A wall is 3 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.The perimeter of a rectangle is 28 cm and its length is 8 cm. What is its width (in cm)?
  38. 38.A wall is 3 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 56 cm. What is its area (in square cm)?
  40. 40.From a rectangle 16 cm long and 8 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 2520
  2. 120
  3. 480
  4. 9
  5. 1920
  6. 8
  7. 10
  8. 144
  9. 3510
  10. 2700
  11. 263
  12. 660
  13. 6
  14. 1350
  15. 58
  16. 2
  17. 2200
  18. 450
  19. 5880
  20. 88
  21. 60
  22. 169
  23. 21
  24. 750
  25. 94
  26. 25
  27. 4370
  28. 2
  29. 2880
  30. 2000
  31. 1900
  32. 2990
  33. 22
  34. 1250
  35. 67
  36. 540
  37. 6
  38. 180
  39. 196
  40. 103

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