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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 542 · 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 square has a perimeter of 72 cm. What is its area (in square cm)?
  2. 2.A rectangular field is 70 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.The perimeter of a rectangle is 54 cm and its length is 23 cm. What is its width (in cm)?
  4. 4.A wall is 9 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
  6. 6.A rectangular field is 90 m long and 25 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.The perimeter of a rectangle is 84 cm and its length is 27 cm. What is its width (in cm)?
  8. 8.A wall is 5 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.A square has a perimeter of 20 cm. What is its area (in square cm)?
  11. 11.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
  12. 12.A wall is 3 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.A rectangular field is 70 m long and 25 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A wall is 5 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.A square has a perimeter of 52 cm. What is its area (in square cm)?
  16. 16.The perimeter of a rectangle is 70 cm and its length is 28 cm. What is its width (in cm)?
  17. 17.A wall is 8 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.A square has a perimeter of 16 cm. What is its area (in square cm)?
  19. 19.A rectangular field is 90 m long and 30 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A wall is 4 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.From a rectangle 10 cm long and 13 cm wide, a rectangle 5 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.A rectangular field is 75 m long and 25 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
  25. 25.The perimeter of a rectangle is 28 cm and its length is 11 cm. What is its width (in cm)?
  26. 26.A rectangular field is 90 m long and 60 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.A rectangular field is 95 m long and 35 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
  29. 29.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A square has a perimeter of 44 cm. What is its area (in square cm)?
  31. 31.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
  32. 32.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
  33. 33.A wall is 12 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.From a rectangle 9 cm long and 15 cm wide, a rectangle 7 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.The perimeter of a rectangle is 20 cm and its length is 8 cm. What is its width (in cm)?
  36. 36.From a rectangle 17 cm long and 11 cm wide, a rectangle 14 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.From a rectangle 7 cm long and 15 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.From a rectangle 9 cm long and 5 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)?
  39. 39.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
  40. 40.The perimeter of a rectangle is 58 cm and its length is 22 cm. What is its width (in cm)?

Answer key

  1. 324
  2. 1260
  3. 4
  4. 540
  5. 80
  6. 3220
  7. 15
  8. 1125
  9. 1500
  10. 25
  11. 24
  12. 540
  13. 1140
  14. 250
  15. 169
  16. 7
  17. 2400
  18. 16
  19. 5760
  20. 80
  21. 2400
  22. 85
  23. 1400
  24. 18
  25. 3
  26. 2700
  27. 2080
  28. 60
  29. 1710
  30. 121
  31. 39
  32. 69
  33. 1200
  34. 100
  35. 2
  36. 75
  37. 89
  38. 44
  39. 42
  40. 7

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