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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 328 · 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 45 m long and 20 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.A square has a perimeter of 56 cm. What is its area (in square cm)?
  4. 4.A square has a perimeter of 76 cm. What is its area (in square cm)?
  5. 5.From a rectangle 11 cm long and 13 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.The perimeter of a rectangle is 38 cm and its length is 12 cm. What is its width (in cm)?
  7. 7.The perimeter of a rectangle is 28 cm and its length is 9 cm. What is its width (in cm)?
  8. 8.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
  9. 9.From a rectangle 18 cm long and 12 cm wide, a rectangle 10 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.A wall is 3 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.A wall is 4 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.From a rectangle 6 cm long and 14 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)?
  13. 13.Each side of a regular pentagon is 21 cm. What is its perimeter (in cm)?
  14. 14.The perimeter of a rectangle is 100 cm and its length is 26 cm. What is its width (in cm)?
  15. 15.A wall is 7 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.From a rectangle 13 cm long and 15 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)?
  17. 17.From a rectangle 10 cm long and 15 cm wide, a rectangle 7 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.Each side of a square is 3 cm. What is its perimeter (in cm)?
  19. 19.A rectangular field is 90 m long and 25 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.Each side of a square is 15 cm. What is its perimeter (in cm)?
  21. 21.From a rectangle 8 cm long and 11 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)?
  22. 22.From a rectangle 17 cm long and 9 cm wide, a rectangle 13 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.Each side of a square is 25 cm. What is its perimeter (in cm)?
  24. 24.A square has a perimeter of 32 cm. What is its area (in square cm)?
  25. 25.From a rectangle 16 cm long and 8 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)?
  26. 26.Each side of a square is 12 cm. What is its perimeter (in cm)?
  27. 27.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
  28. 28.A wall is 11 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.The perimeter of a rectangle is 36 cm and its length is 11 cm. What is its width (in cm)?
  30. 30.Each side of a square is 21 cm. What is its perimeter (in cm)?
  31. 31.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.Each side of a square is 17 cm. What is its perimeter (in cm)?
  33. 33.From a rectangle 9 cm long and 11 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)?
  34. 34.From a rectangle 14 cm long and 7 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
  36. 36.A wall is 8 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.The perimeter of a rectangle is 58 cm and its length is 22 cm. What is its width (in cm)?
  38. 38.A rectangular field is 55 m long and 10 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.The perimeter of a rectangle is 68 cm and its length is 23 cm. What is its width (in cm)?
  40. 40.A wall is 10 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 1560
  2. 300
  3. 196
  4. 361
  5. 127
  6. 7
  7. 5
  8. 45
  9. 126
  10. 270
  11. 320
  12. 82
  13. 105
  14. 24
  15. 840
  16. 185
  17. 101
  18. 12
  19. 4830
  20. 60
  21. 72
  22. 75
  23. 100
  24. 64
  25. 122
  26. 48
  27. 115
  28. 330
  29. 7
  30. 84
  31. 1650
  32. 68
  33. 97
  34. 82
  35. 6
  36. 480
  37. 7
  38. 2990
  39. 11
  40. 300

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