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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 219 · 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 pentagon is 13 cm. What is its perimeter (in cm)?
  2. 2.A wall is 8 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
  4. 4.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
  5. 5.A wall is 9 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.A wall is 3 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
  8. 8.A wall is 6 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.A rectangular field is 75 m long and 65 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.Each side of a square is 13 cm. What is its perimeter (in cm)?
  11. 11.A wall is 12 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A square has a perimeter of 64 cm. What is its area (in square cm)?
  13. 13.From a rectangle 12 cm long and 14 cm wide, a rectangle 10 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.Each side of an equilateral triangle is 10 cm. What is its perimeter (in cm)?
  15. 15.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
  16. 16.The perimeter of a rectangle is 54 cm and its length is 16 cm. What is its width (in cm)?
  17. 17.A rectangular field is 85 m long and 65 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.A rectangular field is 80 m long and 20 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.A rectangular field is 100 m long and 35 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.From a rectangle 12 cm long and 15 cm wide, a rectangle 9 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
  22. 22.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
  23. 23.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.From a rectangle 12 cm long and 11 cm wide, a rectangle 1 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.A rectangular field is 45 m long and 25 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.The perimeter of a rectangle is 48 cm and its length is 13 cm. What is its width (in cm)?
  27. 27.The perimeter of a rectangle is 58 cm and its length is 18 cm. What is its width (in cm)?
  28. 28.A wall is 7 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
  30. 30.A square has a perimeter of 40 cm. What is its area (in square cm)?
  31. 31.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
  32. 32.Each side of a square is 19 cm. What is its perimeter (in cm)?
  33. 33.From a rectangle 8 cm long and 7 cm wide, a rectangle 6 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.A square has a perimeter of 52 cm. What is its area (in square cm)?
  35. 35.From a rectangle 11 cm long and 11 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.From a rectangle 6 cm long and 8 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)?
  37. 37.From a rectangle 16 cm long and 13 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.A rectangular field is 75 m long and 65 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
  40. 40.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?

Answer key

  1. 65
  2. 1600
  3. 70
  4. 168
  5. 1440
  6. 60
  7. 50
  8. 300
  9. 3360
  10. 52
  11. 2400
  12. 256
  13. 118
  14. 30
  15. 60
  16. 11
  17. 5700
  18. 1800
  19. 2970
  20. 153
  21. 3
  22. 192
  23. 2160
  24. 123
  25. 1960
  26. 11
  27. 11
  28. 700
  29. 24
  30. 100
  31. 32
  32. 76
  33. 32
  34. 169
  35. 96
  36. 46
  37. 205
  38. 7000
  39. 48
  40. 48

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