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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 73 · 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 68 cm. What is its area (in square cm)?
  2. 2.A wall is 5 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.From a rectangle 13 cm long and 13 cm wide, a rectangle 9 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.From a rectangle 8 cm long and 6 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  5. 5.From a rectangle 10 cm long and 5 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)?
  6. 6.A wall is 5 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.A wall is 3 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.A rectangular field is 100 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.The perimeter of a rectangle is 30 cm and its length is 8 cm. What is its width (in cm)?
  10. 10.From a rectangle 18 cm long and 9 cm wide, a rectangle 13 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  11. 11.The perimeter of a rectangle is 64 cm and its length is 17 cm. What is its width (in cm)?
  12. 12.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
  13. 13.From a rectangle 8 cm long and 8 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.A square has a perimeter of 72 cm. What is its area (in square cm)?
  15. 15.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A wall is 6 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A rectangular field is 80 m long and 70 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.Each side of an equilateral triangle is 10 cm. What is its perimeter (in cm)?
  21. 21.A wall is 8 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.The perimeter of a rectangle is 34 cm and its length is 9 cm. What is its width (in cm)?
  23. 23.The perimeter of a rectangle is 40 cm and its length is 12 cm. What is its width (in cm)?
  24. 24.From a rectangle 17 cm long and 10 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)?
  25. 25.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
  26. 26.A rectangular field is 95 m long and 65 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.From a rectangle 12 cm long and 6 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.A square has a perimeter of 8 cm. What is its area (in square cm)?
  29. 29.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
  30. 30.Each side of a square is 12 cm. What is its perimeter (in cm)?
  31. 31.A wall is 3 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.Each side of a square is 4 cm. What is its perimeter (in cm)?
  33. 33.From a rectangle 17 cm long and 13 cm wide, a rectangle 9 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.A rectangular field is 50 m long and 40 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.Each side of a regular octagon is 10 cm. What is its perimeter (in cm)?
  37. 37.The perimeter of a rectangle is 42 cm and its length is 15 cm. What is its width (in cm)?
  38. 38.A rectangular field is 65 m long and 60 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.A wall is 5 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.A wall is 6 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 289
  2. 1000
  3. 79
  4. 44
  5. 48
  6. 375
  7. 180
  8. 5520
  9. 7
  10. 110
  11. 15
  12. 160
  13. 60
  14. 324
  15. 1430
  16. 360
  17. 3600
  18. 1440
  19. 1650
  20. 30
  21. 400
  22. 8
  23. 8
  24. 138
  25. 18
  26. 7360
  27. 56
  28. 4
  29. 3
  30. 48
  31. 900
  32. 16
  33. 140
  34. 1330
  35. 2160
  36. 80
  37. 6
  38. 5250
  39. 250
  40. 360

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