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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 652 · 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 10 cm long and 10 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
  3. 3.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
  4. 4.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.The perimeter of a rectangle is 40 cm and its length is 13 cm. What is its width (in cm)?
  6. 6.From a rectangle 12 cm long and 6 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)?
  7. 7.From a rectangle 9 cm long and 9 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)?
  8. 8.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
  9. 9.A rectangular field is 90 m long and 25 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
  11. 11.A wall is 8 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
  13. 13.A rectangular field is 65 m long and 50 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A wall is 12 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.A square has a perimeter of 28 cm. What is its area (in square cm)?
  16. 16.A wall is 3 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A wall is 3 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.A square has a perimeter of 48 cm. What is its area (in square cm)?
  19. 19.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A rectangular field is 65 m long and 60 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.A square has a perimeter of 40 cm. What is its area (in square cm)?
  23. 23.A rectangular field is 75 m long and 40 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A rectangular field is 85 m long and 70 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.A square has a perimeter of 80 cm. What is its area (in square cm)?
  26. 26.A wall is 9 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.From a rectangle 9 cm long and 14 cm wide, a rectangle 2 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
  31. 31.A rectangular field is 95 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.From a rectangle 12 cm long and 13 cm wide, a rectangle 3 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
  34. 34.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
  35. 35.A wall is 9 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.A rectangular field is 85 m long and 45 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
  38. 38.A wall is 3 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.The perimeter of a rectangle is 30 cm and its length is 8 cm. What is its width (in cm)?
  40. 40.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?

Answer key

  1. 90
  2. 168
  3. 5
  4. 910
  5. 7
  6. 70
  7. 61
  8. 12
  9. 3680
  10. 48
  11. 2000
  12. 70
  13. 4140
  14. 360
  15. 49
  16. 375
  17. 180
  18. 144
  19. 1680
  20. 840
  21. 5500
  22. 100
  23. 1840
  24. 5270
  25. 400
  26. 360
  27. 102
  28. 300
  29. 1260
  30. 35
  31. 1680
  32. 126
  33. 48
  34. 33
  35. 2160
  36. 4940
  37. 4
  38. 240
  39. 7
  40. 56

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