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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 10 · 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 20 cm. What is its area (in square cm)?
  2. 2.From a rectangle 20 cm long and 6 cm wide, a rectangle 13 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  3. 3.A rectangular field is 90 m long and 75 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
  5. 5.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
  6. 6.From a rectangle 7 cm long and 7 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
  8. 8.A rectangular field is 85 m long and 40 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.A rectangular field is 70 m long and 30 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.A rectangular field is 85 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  12. 12.A square has a perimeter of 68 cm. What is its area (in square cm)?
  13. 13.Each side of a square is 17 cm. What is its perimeter (in cm)?
  14. 14.A wall is 6 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
  16. 16.A square has a perimeter of 76 cm. What is its area (in square cm)?
  17. 17.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
  18. 18.A wall is 7 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.The perimeter of a rectangle is 54 cm and its length is 20 cm. What is its width (in cm)?
  20. 20.A square has a perimeter of 60 cm. What is its area (in square cm)?
  21. 21.A rectangular field is 50 m long and 20 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.A rectangular field is 55 m long and 50 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
  24. 24.The perimeter of a rectangle is 66 cm and its length is 22 cm. What is its width (in cm)?
  25. 25.A square has a perimeter of 12 cm. What is its area (in square cm)?
  26. 26.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
  27. 27.A rectangular field is 55 m long and 50 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.From a rectangle 7 cm long and 12 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)?
  29. 29.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
  30. 30.Each side of a square is 14 cm. What is its perimeter (in cm)?
  31. 31.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
  32. 32.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)?
  33. 33.A square has a perimeter of 72 cm. What is its area (in square cm)?
  34. 34.The perimeter of a rectangle is 56 cm and its length is 16 cm. What is its width (in cm)?
  35. 35.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
  36. 36.The perimeter of a rectangle is 32 cm and its length is 9 cm. What is its width (in cm)?
  37. 37.A wall is 5 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.The perimeter of a rectangle is 46 cm and its length is 12 cm. What is its width (in cm)?
  39. 39.A rectangular field is 75 m long and 55 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.A rectangular field is 55 m long and 30 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 25
  2. 68
  3. 2640
  4. 35
  5. 57
  6. 33
  7. 120
  8. 3250
  9. 2000
  10. 4400
  11. 36
  12. 289
  13. 68
  14. 1260
  15. 192
  16. 361
  17. 36
  18. 1890
  19. 7
  20. 225
  21. 2660
  22. 2940
  23. 12
  24. 11
  25. 9
  26. 32
  27. 3570
  28. 69
  29. 48
  30. 56
  31. 15
  32. 61
  33. 324
  34. 12
  35. 50
  36. 7
  37. 875
  38. 11
  39. 2340
  40. 850

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