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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 482 · 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 9 cm long and 10 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.A square has a perimeter of 8 cm. What is its area (in square cm)?
  3. 3.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
  4. 4.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
  5. 5.From a rectangle 20 cm long and 9 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
  7. 7.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
  8. 8.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
  9. 9.A wall is 7 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.From a rectangle 19 cm long and 15 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)?
  11. 11.From a rectangle 6 cm long and 5 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)?
  12. 12.From a rectangle 20 cm long and 10 cm wide, a rectangle 13 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  13. 13.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
  14. 14.From a rectangle 18 cm long and 13 cm wide, a rectangle 6 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  15. 15.From a rectangle 15 cm long and 15 cm wide, a rectangle 4 cm by 13 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
  17. 17.From a rectangle 18 cm long and 12 cm wide, a rectangle 4 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.A square has a perimeter of 36 cm. What is its area (in square cm)?
  19. 19.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.Each side of a regular octagon is 25 cm. What is its perimeter (in cm)?
  21. 21.From a rectangle 15 cm long and 12 cm wide, a rectangle 6 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.From a rectangle 13 cm long and 11 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)?
  23. 23.Each side of a square is 11 cm. What is its perimeter (in cm)?
  24. 24.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
  25. 25.A wall is 9 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.From a rectangle 13 cm long and 15 cm wide, a rectangle 10 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.From a rectangle 10 cm long and 6 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)?
  28. 28.The perimeter of a rectangle is 28 cm and its length is 9 cm. What is its width (in cm)?
  29. 29.A square has a perimeter of 40 cm. What is its area (in square cm)?
  30. 30.The perimeter of a rectangle is 60 cm and its length is 19 cm. What is its width (in cm)?
  31. 31.A wall is 10 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.Each side of a square is 20 cm. What is its perimeter (in cm)?
  33. 33.A square has a perimeter of 28 cm. What is its area (in square cm)?
  34. 34.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
  35. 35.A square has a perimeter of 16 cm. What is its area (in square cm)?
  36. 36.The perimeter of a rectangle is 50 cm and its length is 13 cm. What is its width (in cm)?
  37. 37.A square has a perimeter of 20 cm. What is its area (in square cm)?
  38. 38.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.From a rectangle 17 cm long and 14 cm wide, a rectangle 11 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 78
  2. 4
  3. 42
  4. 104
  5. 175
  6. 18
  7. 50
  8. 40
  9. 1120
  10. 280
  11. 26
  12. 96
  13. 72
  14. 210
  15. 173
  16. 102
  17. 196
  18. 81
  19. 2080
  20. 200
  21. 144
  22. 140
  23. 44
  24. 128
  25. 1350
  26. 185
  27. 56
  28. 5
  29. 100
  30. 11
  31. 1750
  32. 80
  33. 49
  34. 16
  35. 16
  36. 12
  37. 25
  38. 540
  39. 194
  40. 640

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