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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 259 · 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 28 cm. What is its area (in square cm)?
  2. 2.A wall is 4 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.Each side of a square is 22 cm. What is its perimeter (in cm)?
  4. 4.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
  5. 5.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
  6. 6.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.Each side of a square is 10 cm. What is its perimeter (in cm)?
  8. 8.The perimeter of a rectangle is 92 cm and its length is 27 cm. What is its width (in cm)?
  9. 9.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
  11. 11.The perimeter of a rectangle is 42 cm and its length is 19 cm. What is its width (in cm)?
  12. 12.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
  13. 13.From a rectangle 8 cm long and 9 cm wide, a rectangle 3 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.A rectangular field is 85 m long and 80 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.From a rectangle 13 cm long and 12 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)?
  17. 17.A wall is 3 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.The perimeter of a rectangle is 112 cm and its length is 29 cm. What is its width (in cm)?
  19. 19.A square has a perimeter of 56 cm. What is its area (in square cm)?
  20. 20.A square has a perimeter of 24 cm. What is its area (in square cm)?
  21. 21.From a rectangle 6 cm long and 13 cm wide, a rectangle 3 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.A rectangular field is 55 m long and 25 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.A rectangular field is 55 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A rectangular field is 95 m long and 20 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.Each side of a square is 2 cm. What is its perimeter (in cm)?
  26. 26.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
  27. 27.A square has a perimeter of 64 cm. What is its area (in square cm)?
  28. 28.From a rectangle 7 cm long and 8 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.A square has a perimeter of 8 cm. What is its area (in square cm)?
  30. 30.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A square has a perimeter of 16 cm. What is its area (in square cm)?
  32. 32.From a rectangle 18 cm long and 10 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  34. 34.From a rectangle 15 cm long and 13 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)?
  35. 35.A wall is 4 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.A square has a perimeter of 68 cm. What is its area (in square cm)?
  37. 37.From a rectangle 18 cm long and 14 cm wide, a rectangle 16 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.A wall is 7 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.The perimeter of a rectangle is 62 cm and its length is 22 cm. What is its width (in cm)?
  40. 40.A rectangular field is 55 m long and 50 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 49
  2. 480
  3. 88
  4. 60
  5. 33
  6. 1170
  7. 40
  8. 19
  9. 1320
  10. 48
  11. 2
  12. 54
  13. 51
  14. 2970
  15. 900
  16. 154
  17. 360
  18. 27
  19. 196
  20. 36
  21. 60
  22. 3040
  23. 700
  24. 4140
  25. 8
  26. 96
  27. 256
  28. 54
  29. 4
  30. 640
  31. 16
  32. 168
  33. 36
  34. 187
  35. 120
  36. 289
  37. 188
  38. 315
  39. 9
  40. 4410

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