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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 337 · 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.The perimeter of a rectangle is 36 cm and its length is 16 cm. What is its width (in cm)?
  2. 2.The perimeter of a rectangle is 66 cm and its length is 23 cm. What is its width (in cm)?
  3. 3.Each side of a square is 25 cm. What is its perimeter (in cm)?
  4. 4.A square has a perimeter of 56 cm. What is its area (in square cm)?
  5. 5.From a rectangle 10 cm long and 10 cm wide, a rectangle 6 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.A square has a perimeter of 76 cm. What is its area (in square cm)?
  7. 7.A wall is 4 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.The perimeter of a rectangle is 54 cm and its length is 16 cm. What is its width (in cm)?
  9. 9.A wall is 8 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.A square has a perimeter of 60 cm. What is its area (in square cm)?
  11. 11.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  12. 12.A rectangular field is 75 m long and 25 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.Each side of a square is 9 cm. What is its perimeter (in cm)?
  15. 15.The perimeter of a rectangle is 106 cm and its length is 29 cm. What is its width (in cm)?
  16. 16.A wall is 12 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A wall is 11 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.A rectangular field is 80 m long and 40 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.From a rectangle 6 cm long and 15 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.A square has a perimeter of 36 cm. What is its area (in square cm)?
  21. 21.The perimeter of a rectangle is 68 cm and its length is 24 cm. What is its width (in cm)?
  22. 22.A square has a perimeter of 72 cm. What is its area (in square cm)?
  23. 23.A square has a perimeter of 80 cm. What is its area (in square cm)?
  24. 24.A rectangular field is 100 m long and 75 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.A rectangular field is 95 m long and 25 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
  27. 27.A wall is 10 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.From a rectangle 6 cm long and 7 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.The perimeter of a rectangle is 30 cm and its length is 9 cm. What is its width (in cm)?
  30. 30.A wall is 6 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.Each side of a regular octagon is 15 cm. What is its perimeter (in cm)?
  32. 32.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A square has a perimeter of 24 cm. What is its area (in square cm)?
  34. 34.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.A rectangular field is 80 m long and 55 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
  38. 38.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
  39. 39.A square has a perimeter of 12 cm. What is its area (in square cm)?
  40. 40.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 ₹)?

Answer key

  1. 2
  2. 10
  3. 100
  4. 196
  5. 58
  6. 361
  7. 800
  8. 11
  9. 560
  10. 225
  11. 25
  12. 1200
  13. 3990
  14. 36
  15. 24
  16. 600
  17. 220
  18. 2880
  19. 85
  20. 81
  21. 10
  22. 324
  23. 400
  24. 3500
  25. 6000
  26. 84
  27. 1600
  28. 33
  29. 6
  30. 480
  31. 120
  32. 3360
  33. 36
  34. 1600
  35. 1890
  36. 540
  37. 75
  38. 15
  39. 9
  40. 160

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