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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 677 · 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.

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  1. 1.A wall is 8 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
  3. 3.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
  4. 4.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
  6. 6.A rectangular field is 100 m long and 20 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.A rectangular field is 55 m long and 25 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.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 ₹)?
  9. 9.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
  10. 10.A wall is 12 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.A wall is 3 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.The perimeter of a rectangle is 68 cm and its length is 25 cm. What is its width (in cm)?
  13. 13.A wall is 3 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
  15. 15.A square has a perimeter of 56 cm. What is its area (in square cm)?
  16. 16.A square has a perimeter of 12 cm. What is its area (in square cm)?
  17. 17.A rectangular field is 50 m long and 30 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.A wall is 6 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.From a rectangle 18 cm long and 8 cm wide, a rectangle 8 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.A rectangular field is 70 m long and 55 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
  22. 22.From a rectangle 17 cm long and 15 cm wide, a rectangle 4 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.A wall is 6 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.A rectangular field is 100 m long and 45 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
  29. 29.From a rectangle 16 cm long and 13 cm wide, a rectangle 10 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.A square has a perimeter of 76 cm. What is its area (in square cm)?
  31. 31.The perimeter of a rectangle is 32 cm and its length is 14 cm. What is its width (in cm)?
  32. 32.A wall is 5 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.The perimeter of a rectangle is 58 cm and its length is 17 cm. What is its width (in cm)?
  34. 34.From a rectangle 11 cm long and 7 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)?
  35. 35.A square has a perimeter of 28 cm. What is its area (in square cm)?
  36. 36.From a rectangle 7 cm long and 11 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)?
  37. 37.A square has a perimeter of 44 cm. What is its area (in square cm)?
  38. 38.A wall is 11 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
  40. 40.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 480
  2. 144
  3. 16
  4. 1260
  5. 3
  6. 2880
  7. 2240
  8. 910
  9. 18
  10. 360
  11. 450
  12. 9
  13. 270
  14. 72
  15. 196
  16. 9
  17. 1600
  18. 360
  19. 104
  20. 2250
  21. 42
  22. 215
  23. 1080
  24. 1020
  25. 2640
  26. 3190
  27. 600
  28. 2
  29. 188
  30. 361
  31. 2
  32. 300
  33. 12
  34. 73
  35. 49
  36. 74
  37. 121
  38. 2200
  39. 72
  40. 2880

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