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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 612 · 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 36 cm and its length is 12 cm. What is its width (in cm)?
  2. 2.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
  3. 3.Each side of a regular pentagon is 17 cm. What is its perimeter (in cm)?
  4. 4.A rectangular field is 100 m long and 30 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.From a rectangle 17 cm long and 7 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.A wall is 8 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.A wall is 3 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.A square has a perimeter of 40 cm. What is its area (in square cm)?
  9. 9.The perimeter of a rectangle is 40 cm and its length is 11 cm. What is its width (in cm)?
  10. 10.From a rectangle 16 cm long and 15 cm wide, a rectangle 12 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  11. 11.From a rectangle 18 cm long and 15 cm wide, a rectangle 14 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.From a rectangle 8 cm long and 6 cm wide, a rectangle 1 cm by 4 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 pentagon is 15 cm. What is its perimeter (in cm)?
  14. 14.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
  15. 15.A square has a perimeter of 56 cm. What is its area (in square cm)?
  16. 16.A rectangular field is 70 m long and 40 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.A square has a perimeter of 20 cm. What is its area (in square cm)?
  18. 18.A rectangular field is 75 m long and 25 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.The perimeter of a rectangle is 56 cm and its length is 20 cm. What is its width (in cm)?
  20. 20.The perimeter of a rectangle is 66 cm and its length is 19 cm. What is its width (in cm)?
  21. 21.Each side of a square is 25 cm. What is its perimeter (in cm)?
  22. 22.A rectangular field is 80 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
  24. 24.A wall is 4 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
  26. 26.The perimeter of a rectangle is 34 cm and its length is 10 cm. What is its width (in cm)?
  27. 27.From a rectangle 18 cm long and 15 cm wide, a rectangle 8 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.From a rectangle 19 cm long and 15 cm wide, a rectangle 2 cm by 13 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.From a rectangle 14 cm long and 5 cm wide, a rectangle 7 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
  32. 32.From a rectangle 10 cm long and 9 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.A wall is 7 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.From a rectangle 9 cm long and 7 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.From a rectangle 7 cm long and 7 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.From a rectangle 8 cm long and 13 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)?
  37. 37.A square has a perimeter of 48 cm. What is its area (in square cm)?
  38. 38.A rectangular field is 80 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.The perimeter of a rectangle is 26 cm and its length is 9 cm. What is its width (in cm)?
  40. 40.Each side of a square is 14 cm. What is its perimeter (in cm)?

Answer key

  1. 6
  2. 144
  3. 85
  4. 1300
  5. 113
  6. 480
  7. 540
  8. 100
  9. 9
  10. 144
  11. 186
  12. 44
  13. 75
  14. 192
  15. 196
  16. 2640
  17. 25
  18. 4400
  19. 8
  20. 14
  21. 100
  22. 3600
  23. 96
  24. 400
  25. 56
  26. 7
  27. 190
  28. 259
  29. 49
  30. 1320
  31. 48
  32. 75
  33. 840
  34. 55
  35. 45
  36. 98
  37. 144
  38. 2090
  39. 4
  40. 56

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