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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 572 · 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 70 m long and 20 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
  3. 3.From a rectangle 8 cm long and 12 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)?
  4. 4.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
  5. 5.From a rectangle 18 cm long and 14 cm wide, a rectangle 2 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  7. 7.From a rectangle 14 cm long and 5 cm wide, a rectangle 11 cm by 1 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 octagon is 24 cm. What is its perimeter (in cm)?
  9. 9.A square has a perimeter of 44 cm. What is its area (in square cm)?
  10. 10.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
  11. 11.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
  12. 12.A square has a perimeter of 32 cm. What is its area (in square cm)?
  13. 13.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A square has a perimeter of 64 cm. What is its area (in square cm)?
  15. 15.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A square has a perimeter of 80 cm. What is its area (in square cm)?
  17. 17.A square has a perimeter of 16 cm. What is its area (in square cm)?
  18. 18.The perimeter of a rectangle is 78 cm and its length is 24 cm. What is its width (in cm)?
  19. 19.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 ₹)?
  20. 20.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A wall is 9 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A rectangular field is 75 m long and 55 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.A wall is 10 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.A square has a perimeter of 72 cm. What is its area (in square cm)?
  25. 25.From a rectangle 16 cm long and 7 cm wide, a rectangle 4 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 8 cm. What is its area (in square cm)?
  27. 27.A wall is 7 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.The perimeter of a rectangle is 42 cm and its length is 14 cm. What is its width (in cm)?
  29. 29.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.From a rectangle 12 cm long and 7 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.A rectangular field is 90 m long and 35 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.A wall is 6 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.A wall is 4 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.A square has a perimeter of 56 cm. What is its area (in square cm)?
  40. 40.A wall is 6 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 2700
  2. 18
  3. 86
  4. 32
  5. 238
  6. 9
  7. 59
  8. 192
  9. 121
  10. 45
  11. 10
  12. 64
  13. 4000
  14. 256
  15. 1190
  16. 400
  17. 16
  18. 15
  19. 3740
  20. 1200
  21. 1080
  22. 1820
  23. 700
  24. 324
  25. 104
  26. 4
  27. 1470
  28. 7
  29. 1440
  30. 1530
  31. 350
  32. 1430
  33. 79
  34. 2550
  35. 1500
  36. 630
  37. 160
  38. 840
  39. 196
  40. 840

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