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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 573 · 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.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
  2. 2.Each side of a square is 5 cm. What is its perimeter (in cm)?
  3. 3.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
  4. 4.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  5. 5.The perimeter of a rectangle is 42 cm and its length is 12 cm. What is its width (in cm)?
  6. 6.A square has a perimeter of 8 cm. What is its area (in square cm)?
  7. 7.From a rectangle 13 cm long and 13 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)?
  8. 8.A wall is 12 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 25 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.A square has a perimeter of 72 cm. What is its area (in square cm)?
  11. 11.A square has a perimeter of 80 cm. What is its area (in square cm)?
  12. 12.A square has a perimeter of 12 cm. What is its area (in square cm)?
  13. 13.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
  14. 14.The perimeter of a rectangle is 28 cm and its length is 9 cm. What is its width (in cm)?
  15. 15.The perimeter of a rectangle is 30 cm and its length is 8 cm. What is its width (in cm)?
  16. 16.A square has a perimeter of 56 cm. What is its area (in square cm)?
  17. 17.The perimeter of a rectangle is 52 cm and its length is 19 cm. What is its width (in cm)?
  18. 18.A rectangular field is 90 m long and 80 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.From a rectangle 15 cm long and 10 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)?
  20. 20.A wall is 4 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.From a rectangle 8 cm long and 14 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.The perimeter of a rectangle is 46 cm and its length is 21 cm. What is its width (in cm)?
  23. 23.A square has a perimeter of 48 cm. What is its area (in square cm)?
  24. 24.From a rectangle 9 cm long and 15 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
  26. 26.A rectangular field is 70 m long and 35 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.A square has a perimeter of 20 cm. What is its area (in square cm)?
  28. 28.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
  29. 29.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A rectangular field is 65 m long and 45 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A wall is 7 m long and 5 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 50 cm and its length is 14 cm. What is its width (in cm)?
  33. 33.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
  34. 34.A square has a perimeter of 16 cm. What is its area (in square cm)?
  35. 35.The perimeter of a rectangle is 74 cm and its length is 28 cm. What is its width (in cm)?
  36. 36.From a rectangle 6 cm long and 14 cm wide, a rectangle 2 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.The perimeter of a rectangle is 48 cm and its length is 19 cm. What is its width (in cm)?
  38. 38.A square has a perimeter of 60 cm. What is its area (in square cm)?
  39. 39.A wall is 8 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.A square has a perimeter of 36 cm. What is its area (in square cm)?

Answer key

  1. 120
  2. 20
  3. 63
  4. 42
  5. 9
  6. 4
  7. 99
  8. 1500
  9. 400
  10. 324
  11. 400
  12. 9
  13. 104
  14. 5
  15. 7
  16. 196
  17. 7
  18. 2380
  19. 144
  20. 600
  21. 100
  22. 2
  23. 144
  24. 133
  25. 40
  26. 4620
  27. 25
  28. 36
  29. 1350
  30. 4400
  31. 1225
  32. 11
  33. 3
  34. 16
  35. 9
  36. 62
  37. 5
  38. 225
  39. 160
  40. 81

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