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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 529 · 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 square has a perimeter of 48 cm. What is its area (in square cm)?
  3. 3.A square has a perimeter of 80 cm. What is its area (in square cm)?
  4. 4.The perimeter of a rectangle is 68 cm and its length is 25 cm. What is its width (in cm)?
  5. 5.A wall is 7 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.A wall is 11 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
  8. 8.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
  9. 9.A square has a perimeter of 24 cm. What is its area (in square cm)?
  10. 10.From a rectangle 16 cm long and 11 cm wide, a rectangle 3 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 110 cm and its length is 29 cm. What is its width (in cm)?
  12. 12.The perimeter of a rectangle is 66 cm and its length is 22 cm. What is its width (in cm)?
  13. 13.The perimeter of a rectangle is 66 cm and its length is 25 cm. What is its width (in cm)?
  14. 14.The perimeter of a rectangle is 58 cm and its length is 24 cm. What is its width (in cm)?
  15. 15.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
  16. 16.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
  17. 17.From a rectangle 16 cm long and 12 cm wide, a rectangle 10 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
  19. 19.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
  20. 20.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
  21. 21.Each side of a square is 22 cm. What is its perimeter (in cm)?
  22. 22.Each side of a regular octagon is 23 cm. What is its perimeter (in cm)?
  23. 23.A square has a perimeter of 16 cm. What is its area (in square cm)?
  24. 24.A rectangular field is 55 m long and 25 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.From a rectangle 15 cm long and 14 cm wide, a rectangle 7 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.From a rectangle 6 cm long and 12 cm wide, a rectangle 3 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.A square has a perimeter of 76 cm. What is its area (in square cm)?
  28. 28.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.The perimeter of a rectangle is 78 cm and its length is 21 cm. What is its width (in cm)?
  30. 30.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
  31. 31.A wall is 12 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.The perimeter of a rectangle is 54 cm and its length is 15 cm. What is its width (in cm)?
  33. 33.A square has a perimeter of 8 cm. What is its area (in square cm)?
  34. 34.A wall is 9 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.A square has a perimeter of 32 cm. What is its area (in square cm)?
  36. 36.From a rectangle 10 cm long and 12 cm wide, a rectangle 7 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.A wall is 6 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
  40. 40.From a rectangle 19 cm long and 10 cm wide, a rectangle 13 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 9
  2. 144
  3. 400
  4. 9
  5. 840
  6. 2200
  7. 50
  8. 4
  9. 36
  10. 170
  11. 26
  12. 11
  13. 8
  14. 5
  15. 69
  16. 132
  17. 92
  18. 56
  19. 96
  20. 88
  21. 88
  22. 184
  23. 16
  24. 2560
  25. 147
  26. 54
  27. 361
  28. 2250
  29. 18
  30. 144
  31. 840
  32. 12
  33. 4
  34. 945
  35. 64
  36. 50
  37. 960
  38. 540
  39. 84
  40. 112

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