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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 75 · 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 12 cm. What is its area (in square cm)?
  2. 2.A wall is 4 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.A square has a perimeter of 8 cm. What is its area (in square cm)?
  4. 4.Each side of an equilateral triangle is 10 cm. What is its perimeter (in cm)?
  5. 5.A square has a perimeter of 72 cm. What is its area (in square cm)?
  6. 6.From a rectangle 9 cm long and 15 cm wide, a rectangle 2 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.From a rectangle 8 cm long and 8 cm wide, a rectangle 1 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.A wall is 11 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.From a rectangle 9 cm long and 13 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)?
  10. 10.A rectangular field is 75 m long and 50 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?
  12. 12.From a rectangle 7 cm long and 9 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)?
  13. 13.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
  14. 14.A square has a perimeter of 40 cm. What is its area (in square cm)?
  15. 15.A square has a perimeter of 44 cm. What is its area (in square cm)?
  16. 16.From a rectangle 19 cm long and 12 cm wide, a rectangle 8 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.A square has a perimeter of 24 cm. What is its area (in square cm)?
  18. 18.From a rectangle 20 cm long and 8 cm wide, a rectangle 15 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.From a rectangle 10 cm long and 11 cm wide, a rectangle 4 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.From a rectangle 7 cm long and 10 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)?
  21. 21.The perimeter of a rectangle is 70 cm and its length is 21 cm. What is its width (in cm)?
  22. 22.A wall is 7 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.From a rectangle 14 cm long and 12 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)?
  24. 24.The perimeter of a rectangle is 98 cm and its length is 29 cm. What is its width (in cm)?
  25. 25.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.A rectangular field is 65 m long and 20 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.A wall is 11 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.The perimeter of a rectangle is 96 cm and its length is 28 cm. What is its width (in cm)?
  29. 29.From a rectangle 17 cm long and 7 cm wide, a rectangle 8 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.From a rectangle 10 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)?
  31. 31.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
  32. 32.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
  33. 33.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
  34. 34.A square has a perimeter of 60 cm. What is its area (in square cm)?
  35. 35.The perimeter of a rectangle is 36 cm and its length is 13 cm. What is its width (in cm)?
  36. 36.From a rectangle 20 cm long and 5 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)?
  37. 37.Each side of a square is 10 cm. What is its perimeter (in cm)?
  38. 38.A wall is 12 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.A rectangular field is 90 m long and 75 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?

Answer key

  1. 9
  2. 1000
  3. 4
  4. 30
  5. 324
  6. 121
  7. 58
  8. 1540
  9. 101
  10. 6250
  11. 20
  12. 61
  13. 112
  14. 100
  15. 121
  16. 220
  17. 36
  18. 70
  19. 78
  20. 50
  21. 14
  22. 700
  23. 136
  24. 20
  25. 3400
  26. 3060
  27. 220
  28. 20
  29. 95
  30. 64
  31. 152
  32. 55
  33. 10
  34. 225
  35. 5
  36. 80
  37. 40
  38. 240
  39. 6270
  40. 40

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