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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 144 · 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 78 cm and its length is 29 cm. What is its width (in cm)?
  2. 2.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.A wall is 11 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
  5. 5.A rectangular field is 65 m long and 50 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.From a rectangle 9 cm long and 8 cm wide, a rectangle 7 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.A rectangular field is 80 m long and 75 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
  9. 9.From a rectangle 9 cm long and 5 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.From a rectangle 16 cm long and 8 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)?
  11. 11.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.From a rectangle 19 cm long and 7 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)?
  13. 13.From a rectangle 7 cm long and 11 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
  15. 15.From a rectangle 16 cm long and 12 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)?
  16. 16.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
  17. 17.The perimeter of a rectangle is 50 cm and its length is 20 cm. What is its width (in cm)?
  18. 18.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
  19. 19.A wall is 7 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.A square has a perimeter of 72 cm. What is its area (in square cm)?
  21. 21.From a rectangle 17 cm long and 10 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)?
  22. 22.A wall is 11 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.A square has a perimeter of 80 cm. What is its area (in square cm)?
  24. 24.From a rectangle 8 cm long and 14 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 90 m long and 30 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.Each side of a square is 2 cm. What is its perimeter (in cm)?
  27. 27.A wall is 9 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
  29. 29.A square has a perimeter of 48 cm. What is its area (in square cm)?
  30. 30.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
  31. 31.From a rectangle 19 cm long and 8 cm wide, a rectangle 17 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.The perimeter of a rectangle is 22 cm and its length is 6 cm. What is its width (in cm)?
  33. 33.The perimeter of a rectangle is 40 cm and its length is 11 cm. What is its width (in cm)?
  34. 34.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
  35. 35.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
  36. 36.From a rectangle 16 cm long and 13 cm wide, a rectangle 2 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.A wall is 4 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.From a rectangle 14 cm long and 6 cm wide, a rectangle 10 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.The perimeter of a rectangle is 92 cm and its length is 29 cm. What is its width (in cm)?

Answer key

  1. 10
  2. 2880
  3. 2200
  4. 72
  5. 1380
  6. 30
  7. 1550
  8. 48
  9. 41
  10. 112
  11. 1680
  12. 123
  13. 74
  14. 35
  15. 122
  16. 3
  17. 5
  18. 126
  19. 700
  20. 324
  21. 168
  22. 220
  23. 400
  24. 103
  25. 2640
  26. 8
  27. 1890
  28. 2
  29. 144
  30. 40
  31. 67
  32. 5
  33. 9
  34. 54
  35. 24
  36. 196
  37. 1900
  38. 800
  39. 74
  40. 17

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