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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 580 · 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.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
  2. 2.A square has a perimeter of 68 cm. What is its area (in square cm)?
  3. 3.A wall is 7 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
  5. 5.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
  6. 6.A square has a perimeter of 56 cm. What is its area (in square cm)?
  7. 7.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
  8. 8.A square has a perimeter of 60 cm. What is its area (in square cm)?
  9. 9.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.From a rectangle 19 cm long and 5 cm wide, a rectangle 17 cm by 2 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 24 cm and its length is 10 cm. What is its width (in cm)?
  12. 12.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
  13. 13.A square has a perimeter of 80 cm. What is its area (in square cm)?
  14. 14.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
  15. 15.A wall is 10 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.A wall is 9 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.From a rectangle 14 cm long and 6 cm wide, a rectangle 12 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
  19. 19.A rectangular field is 95 m long and 65 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
  21. 21.A wall is 6 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.The perimeter of a rectangle is 30 cm and its length is 9 cm. What is its width (in cm)?
  23. 23.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
  24. 24.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
  25. 25.From a rectangle 16 cm long and 7 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)?
  26. 26.A wall is 7 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.From a rectangle 10 cm long and 5 cm wide, a rectangle 4 cm by 3 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 52 cm. What is its area (in square cm)?
  29. 29.The perimeter of a rectangle is 30 cm and its length is 10 cm. What is its width (in cm)?
  30. 30.A rectangular field is 90 m long and 50 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A square has a perimeter of 28 cm. What is its area (in square cm)?
  32. 32.A square has a perimeter of 12 cm. What is its area (in square cm)?
  33. 33.A wall is 5 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.A square has a perimeter of 64 cm. What is its area (in square cm)?
  35. 35.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?
  36. 36.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
  37. 37.The perimeter of a rectangle is 20 cm and its length is 8 cm. What is its width (in cm)?
  38. 38.A square has a perimeter of 76 cm. What is its area (in square cm)?
  39. 39.From a rectangle 20 cm long and 10 cm wide, a rectangle 16 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?

Answer key

  1. 108
  2. 289
  3. 210
  4. 32
  5. 72
  6. 196
  7. 102
  8. 225
  9. 1040
  10. 61
  11. 2
  12. 24
  13. 400
  14. 132
  15. 200
  16. 900
  17. 36
  18. 39
  19. 3200
  20. 176
  21. 300
  22. 6
  23. 16
  24. 144
  25. 100
  26. 2100
  27. 38
  28. 169
  29. 5
  30. 4200
  31. 49
  32. 9
  33. 1250
  34. 256
  35. 20
  36. 42
  37. 2
  38. 361
  39. 184
  40. 18

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