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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 432 · 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.The perimeter of a rectangle is 24 cm and its length is 8 cm. What is its width (in cm)?
  2. 2.The perimeter of a rectangle is 76 cm and its length is 28 cm. What is its width (in cm)?
  3. 3.A square has a perimeter of 12 cm. What is its area (in square cm)?
  4. 4.A rectangular field is 60 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.A wall is 7 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.A wall is 6 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
  8. 8.A wall is 8 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.From a rectangle 9 cm long and 12 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)?
  11. 11.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.A square has a perimeter of 40 cm. What is its area (in square cm)?
  13. 13.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.From a rectangle 13 cm long and 13 cm wide, a rectangle 5 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  15. 15.A square has a perimeter of 8 cm. What is its area (in square cm)?
  16. 16.A rectangular field is 60 m long and 50 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.A square has a perimeter of 36 cm. What is its area (in square cm)?
  18. 18.From a rectangle 17 cm long and 12 cm wide, a rectangle 2 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
  20. 20.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 ₹)?
  21. 21.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
  23. 23.A square has a perimeter of 48 cm. What is its area (in square cm)?
  24. 24.A square has a perimeter of 60 cm. What is its area (in square cm)?
  25. 25.From a rectangle 6 cm long and 5 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)?
  26. 26.A square has a perimeter of 56 cm. What is its area (in square cm)?
  27. 27.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
  28. 28.A wall is 4 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A wall is 4 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.From a rectangle 6 cm long and 10 cm wide, a rectangle 1 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.From a rectangle 17 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)?
  33. 33.A rectangular field is 100 m long and 50 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.From a rectangle 19 cm long and 15 cm wide, a rectangle 3 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.From a rectangle 18 cm long and 8 cm wide, a rectangle 5 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.From a rectangle 7 cm long and 10 cm wide, a rectangle 2 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
  38. 38.The perimeter of a rectangle is 82 cm and its length is 21 cm. What is its width (in cm)?
  39. 39.Each side of a square is 18 cm. What is its perimeter (in cm)?
  40. 40.From a rectangle 19 cm long and 14 cm wide, a rectangle 14 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 4
  2. 10
  3. 9
  4. 2250
  5. 525
  6. 270
  7. 80
  8. 1000
  9. 360
  10. 105
  11. 2990
  12. 100
  13. 1470
  14. 139
  15. 4
  16. 4620
  17. 81
  18. 186
  19. 54
  20. 900
  21. 2090
  22. 60
  23. 144
  24. 225
  25. 27
  26. 196
  27. 69
  28. 400
  29. 900
  30. 400
  31. 52
  32. 66
  33. 3900
  34. 264
  35. 124
  36. 54
  37. 120
  38. 20
  39. 72
  40. 252

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