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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 210 · 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.Each side of a square is 23 cm. What is its perimeter (in cm)?
  2. 2.A wall is 8 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.From a rectangle 8 cm long and 6 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.A wall is 12 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
  6. 6.A wall is 7 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.A square has a perimeter of 44 cm. What is its area (in square cm)?
  8. 8.The perimeter of a rectangle is 28 cm and its length is 11 cm. What is its width (in cm)?
  9. 9.The perimeter of a rectangle is 62 cm and its length is 27 cm. What is its width (in cm)?
  10. 10.A square has a perimeter of 24 cm. What is its area (in square cm)?
  11. 11.The perimeter of a rectangle is 40 cm and its length is 18 cm. What is its width (in cm)?
  12. 12.A square has a perimeter of 72 cm. What is its area (in square cm)?
  13. 13.A square has a perimeter of 40 cm. What is its area (in square cm)?
  14. 14.A rectangular field is 75 m long and 50 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
  16. 16.The perimeter of a rectangle is 38 cm and its length is 15 cm. What is its width (in cm)?
  17. 17.The perimeter of a rectangle is 84 cm and its length is 23 cm. What is its width (in cm)?
  18. 18.A square has a perimeter of 60 cm. What is its area (in square cm)?
  19. 19.A wall is 8 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.Each side of a square is 10 cm. What is its perimeter (in cm)?
  21. 21.A rectangular field is 70 m long and 50 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.A square has a perimeter of 56 cm. What is its area (in square cm)?
  23. 23.A square has a perimeter of 68 cm. What is its area (in square cm)?
  24. 24.The perimeter of a rectangle is 40 cm and its length is 11 cm. What is its width (in cm)?
  25. 25.The perimeter of a rectangle is 88 cm and its length is 29 cm. What is its width (in cm)?
  26. 26.Each side of a square is 25 cm. What is its perimeter (in cm)?
  27. 27.The perimeter of a rectangle is 98 cm and its length is 29 cm. What is its width (in cm)?
  28. 28.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A square has a perimeter of 80 cm. What is its area (in square cm)?
  30. 30.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 ₹)?
  31. 31.From a rectangle 16 cm long and 10 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.The perimeter of a rectangle is 68 cm and its length is 19 cm. What is its width (in cm)?
  33. 33.A square has a perimeter of 64 cm. What is its area (in square cm)?
  34. 34.From a rectangle 19 cm long and 10 cm wide, a rectangle 4 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.A wall is 6 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.A square has a perimeter of 16 cm. What is its area (in square cm)?
  38. 38.A rectangular field is 90 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.A rectangular field is 95 m long and 50 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.A wall is 8 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 92
  2. 960
  3. 42
  4. 1680
  5. 48
  6. 350
  7. 121
  8. 3
  9. 4
  10. 36
  11. 2
  12. 324
  13. 100
  14. 2500
  15. 45
  16. 4
  17. 19
  18. 225
  19. 800
  20. 40
  21. 4080
  22. 196
  23. 289
  24. 9
  25. 15
  26. 100
  27. 20
  28. 910
  29. 400
  30. 1600
  31. 157
  32. 15
  33. 256
  34. 158
  35. 240
  36. 4250
  37. 16
  38. 5280
  39. 3770
  40. 1680

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