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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 370 · 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 regular octagon is 16 cm. What is its perimeter (in cm)?
  2. 2.A wall is 11 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.A wall is 8 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.A wall is 4 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.A wall is 4 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.A wall is 10 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.The perimeter of a rectangle is 92 cm and its length is 28 cm. What is its width (in cm)?
  8. 8.From a rectangle 19 cm long and 9 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)?
  9. 9.The perimeter of a rectangle is 48 cm and its length is 17 cm. What is its width (in cm)?
  10. 10.A square has a perimeter of 40 cm. What is its area (in square cm)?
  11. 11.From a rectangle 20 cm long and 6 cm wide, a rectangle 8 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.A rectangular field is 100 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.Each side of a regular hexagon is 11 cm. What is its perimeter (in cm)?
  14. 14.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  15. 15.The perimeter of a rectangle is 40 cm and its length is 14 cm. What is its width (in cm)?
  16. 16.The perimeter of a rectangle is 46 cm and its length is 14 cm. What is its width (in cm)?
  17. 17.From a rectangle 18 cm long and 9 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.The perimeter of a rectangle is 50 cm and its length is 18 cm. What is its width (in cm)?
  19. 19.A rectangular field is 85 m long and 10 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A rectangular field is 85 m long and 35 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.From a rectangle 8 cm long and 15 cm wide, a rectangle 3 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.The perimeter of a rectangle is 24 cm and its length is 10 cm. What is its width (in 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 50 cm and its length is 21 cm. What is its width (in cm)?
  25. 25.A rectangular field is 65 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.A square has a perimeter of 8 cm. What is its area (in square cm)?
  27. 27.Each side of a square is 7 cm. What is its perimeter (in cm)?
  28. 28.From a rectangle 17 cm long and 13 cm wide, a rectangle 5 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.Each side of an equilateral triangle is 10 cm. What is its perimeter (in cm)?
  30. 30.From a rectangle 17 cm long and 6 cm wide, a rectangle 10 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.A rectangular field is 85 m long and 65 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.The perimeter of a rectangle is 52 cm and its length is 15 cm. What is its width (in cm)?
  33. 33.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
  34. 34.A wall is 10 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.A rectangular field is 80 m long and 25 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.The perimeter of a rectangle is 58 cm and its length is 25 cm. What is its width (in cm)?
  37. 37.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
  38. 38.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?

Answer key

  1. 128
  2. 990
  3. 360
  4. 280
  5. 600
  6. 900
  7. 18
  8. 159
  9. 7
  10. 100
  11. 88
  12. 2250
  13. 66
  14. 12
  15. 6
  16. 9
  17. 158
  18. 7
  19. 3610
  20. 3360
  21. 96
  22. 2
  23. 289
  24. 4
  25. 800
  26. 4
  27. 28
  28. 176
  29. 30
  30. 72
  31. 5100
  32. 11
  33. 3
  34. 1000
  35. 2310
  36. 4
  37. 176
  38. 1140
  39. 500
  40. 21

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