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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 134 · 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.From a rectangle 20 cm long and 8 cm wide, a rectangle 18 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.From a rectangle 7 cm long and 9 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  3. 3.A rectangular field is 65 m long and 25 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.Each side of a regular hexagon is 25 cm. What is its perimeter (in cm)?
  5. 5.A square has a perimeter of 76 cm. What is its area (in square cm)?
  6. 6.From a rectangle 11 cm long and 7 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.The perimeter of a rectangle is 58 cm and its length is 25 cm. What is its width (in cm)?
  8. 8.The perimeter of a rectangle is 100 cm and its length is 28 cm. What is its width (in cm)?
  9. 9.A wall is 4 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.A square has a perimeter of 32 cm. What is its area (in square cm)?
  12. 12.A wall is 9 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.From a rectangle 12 cm long and 8 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.From a rectangle 18 cm long and 7 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  15. 15.From a rectangle 20 cm long and 6 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.A wall is 5 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.Each side of a square is 15 cm. What is its perimeter (in cm)?
  18. 18.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
  19. 19.A rectangular field is 55 m long and 30 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
  21. 21.The perimeter of a rectangle is 74 cm and its length is 27 cm. What is its width (in cm)?
  22. 22.A wall is 8 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.A wall is 5 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.A square has a perimeter of 56 cm. What is its area (in square cm)?
  25. 25.Each side of a square is 14 cm. What is its perimeter (in cm)?
  26. 26.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
  27. 27.A rectangular field is 65 m long and 60 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.The perimeter of a rectangle is 58 cm and its length is 22 cm. What is its width (in cm)?
  29. 29.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A wall is 10 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.From a rectangle 20 cm long and 14 cm wide, a rectangle 4 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.The perimeter of a rectangle is 92 cm and its length is 25 cm. What is its width (in cm)?
  33. 33.From a rectangle 6 cm long and 13 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.From a rectangle 10 cm long and 7 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.A wall is 8 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.A square has a perimeter of 48 cm. What is its area (in square cm)?
  38. 38.From a rectangle 6 cm long and 14 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)?
  39. 39.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
  40. 40.The perimeter of a rectangle is 76 cm and its length is 23 cm. What is its width (in cm)?

Answer key

  1. 142
  2. 58
  3. 2880
  4. 150
  5. 361
  6. 52
  7. 4
  8. 22
  9. 160
  10. 1080
  11. 64
  12. 540
  13. 80
  14. 125
  15. 105
  16. 500
  17. 60
  18. 60
  19. 4250
  20. 3
  21. 10
  22. 1440
  23. 600
  24. 196
  25. 56
  26. 32
  27. 5750
  28. 7
  29. 2500
  30. 2100
  31. 256
  32. 21
  33. 72
  34. 69
  35. 400
  36. 1100
  37. 144
  38. 81
  39. 56
  40. 15

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