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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 561 · 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.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
  2. 2.A square has a perimeter of 56 cm. What is its area (in square cm)?
  3. 3.A rectangular field is 50 m long and 40 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.From a rectangle 16 cm long and 5 cm wide, a rectangle 8 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  5. 5.A square has a perimeter of 28 cm. What is its area (in square cm)?
  6. 6.A wall is 4 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.From a rectangle 14 cm long and 15 cm wide, a rectangle 9 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  9. 9.Each side of a square is 8 cm. What is its perimeter (in cm)?
  10. 10.A rectangular field is 85 m long and 35 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.A wall is 9 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.From a rectangle 13 cm long and 5 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)?
  13. 13.A wall is 12 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
  15. 15.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A wall is 7 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.The perimeter of a rectangle is 36 cm and its length is 14 cm. What is its width (in cm)?
  18. 18.A wall is 9 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.The perimeter of a rectangle is 28 cm and its length is 9 cm. What is its width (in cm)?
  20. 20.A rectangular field is 100 m long and 10 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.The perimeter of a rectangle is 50 cm and its length is 21 cm. What is its width (in cm)?
  22. 22.From a rectangle 20 cm long and 12 cm wide, a rectangle 8 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.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 ₹)?
  24. 24.A rectangular field is 70 m long and 25 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
  26. 26.From a rectangle 10 cm long and 11 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
  29. 29.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A square has a perimeter of 32 cm. What is its area (in square cm)?
  31. 31.From a rectangle 15 cm long and 12 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)?
  32. 32.A rectangular field is 50 m long and 25 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
  35. 35.A square has a perimeter of 8 cm. What is its area (in square cm)?
  36. 36.A wall is 5 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.From a rectangle 6 cm long and 6 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)?
  38. 38.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.The perimeter of a rectangle is 42 cm and its length is 14 cm. What is its width (in cm)?
  40. 40.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?

Answer key

  1. 168
  2. 196
  3. 900
  4. 72
  5. 49
  6. 1080
  7. 540
  8. 120
  9. 32
  10. 6000
  11. 675
  12. 59
  13. 900
  14. 69
  15. 1120
  16. 210
  17. 4
  18. 1800
  19. 5
  20. 2420
  21. 4
  22. 176
  23. 300
  24. 2090
  25. 160
  26. 95
  27. 1260
  28. 56
  29. 2500
  30. 64
  31. 132
  32. 3450
  33. 1080
  34. 60
  35. 4
  36. 150
  37. 32
  38. 1800
  39. 7
  40. 75

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