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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 187 · 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 35 m long and 15 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.The perimeter of a rectangle is 20 cm and its length is 8 cm. What is its width (in cm)?
  3. 3.A square has a perimeter of 44 cm. What is its area (in square cm)?
  4. 4.A rectangular field is 90 m long and 70 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.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 ₹)?
  6. 6.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
  7. 7.The perimeter of a rectangle is 34 cm and its length is 10 cm. What is its width (in cm)?
  8. 8.A square has a perimeter of 8 cm. What is its area (in square cm)?
  9. 9.From a rectangle 9 cm long and 9 cm wide, a rectangle 5 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.A wall is 5 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.From a rectangle 8 cm long and 5 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  13. 13.A square has a perimeter of 52 cm. What is its area (in square cm)?
  14. 14.A wall is 4 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.A square has a perimeter of 36 cm. What is its area (in square cm)?
  16. 16.A rectangular field is 100 m long and 75 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.A rectangular field is 85 m long and 20 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
  19. 19.From a rectangle 20 cm long and 6 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)?
  20. 20.From a rectangle 17 cm long and 7 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.A wall is 4 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.From a rectangle 6 cm long and 8 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)?
  23. 23.A square has a perimeter of 40 cm. What is its area (in square cm)?
  24. 24.From a rectangle 19 cm long and 12 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)?
  25. 25.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
  26. 26.A square has a perimeter of 60 cm. What is its area (in square cm)?
  27. 27.A rectangular field is 65 m long and 20 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
  29. 29.A square has a perimeter of 64 cm. What is its area (in square cm)?
  30. 30.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
  31. 31.A square has a perimeter of 32 cm. What is its area (in square cm)?
  32. 32.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
  33. 33.A wall is 7 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.A wall is 6 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.The perimeter of a rectangle is 30 cm and its length is 11 cm. What is its width (in cm)?
  36. 36.A square has a perimeter of 20 cm. What is its area (in square cm)?
  37. 37.A rectangular field is 95 m long and 45 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.Each side of a regular pentagon is 18 cm. What is its perimeter (in cm)?
  40. 40.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 2500
  2. 2
  3. 121
  4. 6080
  5. 1190
  6. 56
  7. 7
  8. 4
  9. 51
  10. 875
  11. 630
  12. 38
  13. 169
  14. 840
  15. 81
  16. 4550
  17. 4200
  18. 30
  19. 110
  20. 104
  21. 600
  22. 40
  23. 100
  24. 227
  25. 72
  26. 225
  27. 850
  28. 54
  29. 256
  30. 132
  31. 64
  32. 2
  33. 1400
  34. 180
  35. 4
  36. 25
  37. 1680
  38. 850
  39. 90
  40. 800

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