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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 182 · 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 28 cm. What is its area (in square cm)?
  2. 2.A wall is 3 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.A square has a perimeter of 48 cm. What is its area (in square cm)?
  4. 4.From a rectangle 12 cm long and 6 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  5. 5.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.A rectangular field is 85 m long and 75 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.From a rectangle 9 cm long and 6 cm wide, a rectangle 7 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.The perimeter of a rectangle is 42 cm and its length is 11 cm. What is its width (in cm)?
  9. 9.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  10. 10.Each side of a regular hexagon is 11 cm. What is its perimeter (in cm)?
  11. 11.A rectangular field is 95 m long and 45 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.A wall is 7 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.A square has a perimeter of 52 cm. What is its area (in square cm)?
  14. 14.From a rectangle 19 cm long and 15 cm wide, a rectangle 9 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  15. 15.From a rectangle 7 cm long and 12 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)?
  16. 16.A wall is 12 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A rectangular field is 75 m long and 20 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.A wall is 7 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
  20. 20.A square has a perimeter of 68 cm. What is its area (in square cm)?
  21. 21.The perimeter of a rectangle is 26 cm and its length is 7 cm. What is its width (in cm)?
  22. 22.From a rectangle 10 cm long and 14 cm wide, a rectangle 1 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.From a rectangle 11 cm long and 11 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.A wall is 9 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.A wall is 9 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  27. 27.A rectangular field is 50 m long and 40 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.The perimeter of a rectangle is 60 cm and its length is 19 cm. What is its width (in cm)?
  29. 29.A wall is 5 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  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 16 cm. What is its perimeter (in cm)?
  32. 32.A wall is 6 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.A square has a perimeter of 24 cm. What is its area (in square cm)?
  34. 34.A wall is 7 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.The perimeter of a rectangle is 64 cm and its length is 17 cm. What is its width (in cm)?
  36. 36.A wall is 7 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
  38. 38.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.A wall is 4 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?

Answer key

  1. 49
  2. 480
  3. 144
  4. 60
  5. 1000
  6. 4800
  7. 26
  8. 10
  9. 2
  10. 66
  11. 3080
  12. 1750
  13. 169
  14. 213
  15. 75
  16. 1200
  17. 1710
  18. 875
  19. 72
  20. 289
  21. 6
  22. 128
  23. 116
  24. 270
  25. 1350
  26. 36
  27. 1620
  28. 11
  29. 600
  30. 100
  31. 128
  32. 1260
  33. 36
  34. 1400
  35. 15
  36. 560
  37. 3
  38. 1200
  39. 240
  40. 9

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