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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 128 · 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 19 cm long and 8 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)?
  2. 2.From a rectangle 16 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)?
  3. 3.A square has a perimeter of 52 cm. What is its area (in square cm)?
  4. 4.From a rectangle 17 cm long and 9 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  5. 5.A square has a perimeter of 44 cm. What is its area (in square cm)?
  6. 6.The perimeter of a rectangle is 20 cm and its length is 8 cm. What is its width (in cm)?
  7. 7.A wall is 7 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
  9. 9.From a rectangle 12 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)?
  10. 10.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  11. 11.The perimeter of a rectangle is 40 cm and its length is 17 cm. What is its width (in cm)?
  12. 12.A square has a perimeter of 20 cm. What is its area (in square cm)?
  13. 13.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
  14. 14.A square has a perimeter of 16 cm. What is its area (in square cm)?
  15. 15.The perimeter of a rectangle is 74 cm and its length is 21 cm. What is its width (in cm)?
  16. 16.From a rectangle 6 cm long and 6 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)?
  17. 17.The perimeter of a rectangle is 54 cm and its length is 20 cm. What is its width (in cm)?
  18. 18.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
  19. 19.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.The perimeter of a rectangle is 82 cm and its length is 29 cm. What is its width (in cm)?
  21. 21.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.The perimeter of a rectangle is 50 cm and its length is 20 cm. What is its width (in cm)?
  23. 23.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.The perimeter of a rectangle is 50 cm and its length is 23 cm. What is its width (in cm)?
  25. 25.The perimeter of a rectangle is 54 cm and its length is 18 cm. What is its width (in cm)?
  26. 26.The perimeter of a rectangle is 60 cm and its length is 27 cm. What is its width (in cm)?
  27. 27.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.The perimeter of a rectangle is 38 cm and its length is 11 cm. What is its width (in cm)?
  29. 29.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A wall is 9 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
  33. 33.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
  34. 34.A square has a perimeter of 28 cm. What is its area (in square cm)?
  35. 35.A rectangular field is 55 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.From a rectangle 18 cm long and 6 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)?
  37. 37.From a rectangle 13 cm long and 13 cm wide, a rectangle 9 cm by 2 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 60 cm and its length is 16 cm. What is its width (in cm)?
  39. 39.From a rectangle 17 cm long and 8 cm wide, a rectangle 10 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?

Answer key

  1. 148
  2. 200
  3. 169
  4. 150
  5. 121
  6. 2
  7. 315
  8. 120
  9. 118
  10. 42
  11. 3
  12. 25
  13. 128
  14. 16
  15. 16
  16. 33
  17. 7
  18. 64
  19. 900
  20. 12
  21. 2660
  22. 5
  23. 900
  24. 2
  25. 9
  26. 3
  27. 840
  28. 8
  29. 720
  30. 1350
  31. 800
  32. 48
  33. 45
  34. 49
  35. 2800
  36. 104
  37. 151
  38. 14
  39. 96
  40. 78

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