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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 273 · 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 rectangular field is 60 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.A rectangular field is 80 m long and 40 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.A wall is 3 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.A square has a perimeter of 24 cm. What is its area (in square cm)?
  6. 6.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
  7. 7.The perimeter of a rectangle is 94 cm and its length is 30 cm. What is its width (in cm)?
  8. 8.From a rectangle 8 cm long and 5 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)?
  9. 9.The perimeter of a rectangle is 54 cm and its length is 23 cm. What is its width (in cm)?
  10. 10.A wall is 4 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.From a rectangle 18 cm long and 13 cm wide, a rectangle 6 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
  13. 13.A wall is 6 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.Each side of a square is 5 cm. What is its perimeter (in cm)?
  15. 15.From a rectangle 18 cm long and 13 cm wide, a rectangle 4 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.A wall is 11 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  18. 18.From a rectangle 11 cm long and 13 cm wide, a rectangle 4 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
  20. 20.From a rectangle 10 cm long and 8 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.A wall is 6 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
  24. 24.The perimeter of a rectangle is 30 cm and its length is 8 cm. What is its width (in cm)?
  25. 25.A wall is 6 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.Each side of a square is 10 cm. What is its perimeter (in cm)?
  27. 27.The perimeter of a rectangle is 60 cm and its length is 21 cm. What is its width (in cm)?
  28. 28.Each side of a regular octagon is 23 cm. What is its perimeter (in cm)?
  29. 29.A rectangular field is 90 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  31. 31.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
  33. 33.A wall is 11 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.From a rectangle 17 cm long and 7 cm wide, a rectangle 12 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.A square has a perimeter of 16 cm. What is its area (in square cm)?
  36. 36.From a rectangle 16 cm long and 10 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.Each side of a square is 6 cm. What is its perimeter (in cm)?
  38. 38.A square has a perimeter of 56 cm. What is its area (in square cm)?
  39. 39.A rectangular field is 50 m long and 20 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.From a rectangle 16 cm long and 12 cm wide, a rectangle 2 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 1200
  2. 1200
  3. 240
  4. 1140
  5. 36
  6. 104
  7. 17
  8. 25
  9. 4
  10. 240
  11. 204
  12. 72
  13. 300
  14. 20
  15. 202
  16. 1650
  17. 2
  18. 123
  19. 126
  20. 73
  21. 540
  22. 2310
  23. 112
  24. 7
  25. 120
  26. 40
  27. 9
  28. 184
  29. 3360
  30. 25
  31. 1040
  32. 16
  33. 990
  34. 95
  35. 16
  36. 154
  37. 24
  38. 196
  39. 1820
  40. 182

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