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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 174 · 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 wall is 12 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.A wall is 5 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.A square has a perimeter of 12 cm. What is its area (in square cm)?
  4. 4.From a rectangle 16 cm long and 9 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)?
  5. 5.A rectangular field is 95 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.The perimeter of a rectangle is 34 cm and its length is 10 cm. What is its width (in cm)?
  7. 7.The perimeter of a rectangle is 62 cm and its length is 29 cm. What is its width (in cm)?
  8. 8.A square has a perimeter of 68 cm. What is its area (in square cm)?
  9. 9.A wall is 3 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.The perimeter of a rectangle is 28 cm and its length is 9 cm. What is its width (in cm)?
  11. 11.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
  12. 12.Each side of a square is 15 cm. What is its perimeter (in cm)?
  13. 13.The perimeter of a rectangle is 40 cm and its length is 11 cm. What is its width (in cm)?
  14. 14.Each side of a regular pentagon is 22 cm. What is its perimeter (in cm)?
  15. 15.A square has a perimeter of 44 cm. What is its area (in square cm)?
  16. 16.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
  17. 17.The perimeter of a rectangle is 50 cm and its length is 19 cm. What is its width (in cm)?
  18. 18.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.From a rectangle 20 cm long and 7 cm wide, a rectangle 9 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
  21. 21.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
  22. 22.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
  23. 23.The perimeter of a rectangle is 24 cm and its length is 8 cm. What is its width (in cm)?
  24. 24.A rectangular field is 60 m long and 40 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.A rectangular field is 70 m long and 40 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  27. 27.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A wall is 8 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.A wall is 12 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.A square has a perimeter of 48 cm. What is its area (in square cm)?
  32. 32.A wall is 6 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.A wall is 5 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
  35. 35.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.The perimeter of a rectangle is 52 cm and its length is 15 cm. What is its width (in cm)?
  37. 37.A wall is 8 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
  39. 39.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
  40. 40.From a rectangle 13 cm long and 7 cm wide, a rectangle 8 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 720
  2. 200
  3. 9
  4. 143
  5. 4410
  6. 7
  7. 2
  8. 289
  9. 360
  10. 5
  11. 65
  12. 60
  13. 9
  14. 110
  15. 121
  16. 48
  17. 6
  18. 480
  19. 131
  20. 132
  21. 176
  22. 40
  23. 4
  24. 4200
  25. 3300
  26. 21
  27. 880
  28. 880
  29. 1600
  30. 240
  31. 144
  32. 1350
  33. 300
  34. 60
  35. 1620
  36. 11
  37. 1600
  38. 48
  39. 45
  40. 67

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