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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 585 · 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 square has a perimeter of 80 cm. What is its area (in square cm)?
  2. 2.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 ₹)?
  3. 3.A wall is 10 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
  6. 6.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.A square has a perimeter of 24 cm. What is its area (in square cm)?
  8. 8.A wall is 4 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.The perimeter of a rectangle is 70 cm and its length is 28 cm. What is its width (in cm)?
  10. 10.From a rectangle 6 cm long and 7 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)?
  11. 11.A wall is 4 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A square has a perimeter of 8 cm. What is its area (in square cm)?
  13. 13.A wall is 5 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.A wall is 5 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.A rectangular field is 65 m long and 20 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.From a rectangle 8 cm long and 15 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
  19. 19.From a rectangle 7 cm long and 5 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.The perimeter of a rectangle is 58 cm and its length is 16 cm. What is its width (in cm)?
  21. 21.A wall is 8 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.Each side of a square is 10 cm. What is its perimeter (in cm)?
  23. 23.A square has a perimeter of 20 cm. What is its area (in square cm)?
  24. 24.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 ₹)?
  25. 25.From a rectangle 14 cm long and 7 cm wide, a rectangle 9 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.A wall is 7 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.Each side of a square is 20 cm. What is its perimeter (in cm)?
  28. 28.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A square has a perimeter of 52 cm. What is its area (in square cm)?
  30. 30.Each side of an equilateral triangle is 10 cm. What is its perimeter (in cm)?
  31. 31.A wall is 12 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
  33. 33.From a rectangle 12 cm long and 6 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.The perimeter of a rectangle is 56 cm and its length is 16 cm. What is its width (in cm)?
  35. 35.A square has a perimeter of 68 cm. What is its area (in square cm)?
  36. 36.The perimeter of a rectangle is 66 cm and its length is 19 cm. What is its width (in cm)?
  37. 37.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
  38. 38.From a rectangle 17 cm long and 15 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)?
  39. 39.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 400
  2. 1890
  3. 500
  4. 1360
  5. 55
  6. 480
  7. 36
  8. 840
  9. 7
  10. 39
  11. 320
  12. 4
  13. 300
  14. 780
  15. 200
  16. 3910
  17. 116
  18. 176
  19. 29
  20. 13
  21. 720
  22. 40
  23. 25
  24. 1440
  25. 53
  26. 1260
  27. 80
  28. 960
  29. 169
  30. 30
  31. 2100
  32. 132
  33. 71
  34. 12
  35. 289
  36. 14
  37. 5
  38. 213
  39. 1170
  40. 560

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