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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 716 · 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 wall is 6 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  3. 3.A square has a perimeter of 24 cm. What is its area (in square cm)?
  4. 4.Each side of a regular octagon is 17 cm. What is its perimeter (in cm)?
  5. 5.The perimeter of a rectangle is 110 cm and its length is 30 cm. What is its width (in cm)?
  6. 6.From a rectangle 6 cm long and 15 cm wide, a rectangle 3 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
  8. 8.A wall is 4 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.A wall is 3 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.From a rectangle 14 cm long and 14 cm wide, a rectangle 10 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  11. 11.A rectangular field is 75 m long and 25 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
  13. 13.A rectangular field is 75 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.The perimeter of a rectangle is 56 cm and its length is 17 cm. What is its width (in cm)?
  16. 16.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
  17. 17.The perimeter of a rectangle is 56 cm and its length is 16 cm. What is its width (in cm)?
  18. 18.From a rectangle 18 cm long and 8 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)?
  19. 19.A wall is 5 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A square has a perimeter of 40 cm. What is its area (in square cm)?
  22. 22.A rectangular field is 85 m long and 45 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.A square has a perimeter of 12 cm. What is its area (in square cm)?
  24. 24.The perimeter of a rectangle is 44 cm and its length is 19 cm. What is its width (in cm)?
  25. 25.A wall is 9 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.From a rectangle 9 cm long and 11 cm wide, a rectangle 4 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.A wall is 10 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.From a rectangle 9 cm long and 9 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)?
  29. 29.The perimeter of a rectangle is 68 cm and its length is 29 cm. What is its width (in cm)?
  30. 30.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
  31. 31.The perimeter of a rectangle is 24 cm and its length is 9 cm. What is its width (in cm)?
  32. 32.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A wall is 10 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.A wall is 9 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.A square has a perimeter of 32 cm. What is its area (in square cm)?
  37. 37.A square has a perimeter of 28 cm. What is its area (in square cm)?
  38. 38.A wall is 12 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
  40. 40.A wall is 8 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 810
  2. 2
  3. 36
  4. 136
  5. 25
  6. 66
  7. 60
  8. 180
  9. 360
  10. 136
  11. 1200
  12. 144
  13. 3600
  14. 1280
  15. 11
  16. 36
  17. 12
  18. 134
  19. 1000
  20. 1260
  21. 100
  22. 1560
  23. 9
  24. 3
  25. 2250
  26. 63
  27. 2400
  28. 51
  29. 5
  30. 24
  31. 3
  32. 1080
  33. 750
  34. 1620
  35. 540
  36. 64
  37. 49
  38. 1080
  39. 104
  40. 600

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