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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 146 · 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 24 cm and its length is 9 cm. What is its width (in cm)?
  2. 2.A wall is 3 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
  5. 5.From a rectangle 12 cm long and 8 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)?
  6. 6.A rectangular field is 95 m long and 30 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.A square has a perimeter of 76 cm. What is its area (in square cm)?
  8. 8.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
  9. 9.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
  10. 10.A square has a perimeter of 48 cm. What is its area (in square cm)?
  11. 11.The perimeter of a rectangle is 50 cm and its length is 17 cm. What is its width (in cm)?
  12. 12.A square has a perimeter of 24 cm. What is its area (in square cm)?
  13. 13.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
  14. 14.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.A square has a perimeter of 64 cm. What is its area (in square cm)?
  16. 16.A rectangular field is 90 m long and 25 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.A square has a perimeter of 52 cm. What is its area (in square cm)?
  18. 18.Each side of a square is 2 cm. What is its perimeter (in cm)?
  19. 19.From a rectangle 8 cm long and 6 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)?
  20. 20.Each side of a regular octagon is 23 cm. What is its perimeter (in cm)?
  21. 21.A wall is 11 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.From a rectangle 19 cm long and 10 cm wide, a rectangle 11 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.From a rectangle 15 cm long and 10 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)?
  24. 24.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
  25. 25.From a rectangle 15 cm long and 13 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.The perimeter of a rectangle is 34 cm and its length is 11 cm. What is its width (in cm)?
  27. 27.The perimeter of a rectangle is 22 cm and its length is 6 cm. What is its width (in cm)?
  28. 28.Each side of a square is 25 cm. What is its perimeter (in cm)?
  29. 29.A square has a perimeter of 16 cm. What is its area (in square cm)?
  30. 30.The perimeter of a rectangle is 38 cm and its length is 16 cm. What is its width (in cm)?
  31. 31.From a rectangle 8 cm long and 6 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.A wall is 3 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.From a rectangle 17 cm long and 5 cm wide, a rectangle 12 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.The perimeter of a rectangle is 56 cm and its length is 25 cm. What is its width (in cm)?
  35. 35.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
  36. 36.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.From a rectangle 15 cm long and 5 cm wide, a rectangle 13 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.The perimeter of a rectangle is 30 cm and its length is 9 cm. What is its width (in cm)?
  39. 39.A rectangular field is 55 m long and 45 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.A wall is 11 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 3
  2. 360
  3. 720
  4. 144
  5. 88
  6. 6250
  7. 361
  8. 35
  9. 80
  10. 144
  11. 8
  12. 36
  13. 63
  14. 2520
  15. 256
  16. 1380
  17. 169
  18. 8
  19. 46
  20. 184
  21. 1155
  22. 102
  23. 148
  24. 15
  25. 187
  26. 6
  27. 5
  28. 100
  29. 16
  30. 3
  31. 42
  32. 180
  33. 73
  34. 3
  35. 42
  36. 900
  37. 62
  38. 6
  39. 2200
  40. 440

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