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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 564 · 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.The perimeter of a rectangle is 40 cm and its length is 11 cm. What is its width (in cm)?
  2. 2.A wall is 6 m long and 4 m high. Painting costs ₹15 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 ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.A square has a perimeter of 60 cm. What is its area (in square cm)?
  5. 5.A square has a perimeter of 48 cm. What is its area (in square cm)?
  6. 6.A rectangular field is 90 m long and 20 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
  8. 8.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
  9. 9.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  10. 10.The perimeter of a rectangle is 58 cm and its length is 23 cm. What is its width (in cm)?
  11. 11.A wall is 4 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A rectangular field is 90 m long and 45 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A wall is 8 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.A square has a perimeter of 36 cm. What is its area (in square cm)?
  15. 15.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A rectangular field is 50 m long and 30 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
  18. 18.A wall is 3 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.A square has a perimeter of 56 cm. What is its area (in square cm)?
  20. 20.From a rectangle 6 cm long and 7 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.From a rectangle 7 cm long and 12 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.A square has a perimeter of 16 cm. What is its area (in square cm)?
  23. 23.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
  24. 24.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 ₹)?
  25. 25.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
  26. 26.From a rectangle 8 cm long and 13 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)?
  27. 27.The perimeter of a rectangle is 114 cm and its length is 29 cm. What is its width (in cm)?
  28. 28.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
  29. 29.The perimeter of a rectangle is 68 cm and its length is 18 cm. What is its width (in cm)?
  30. 30.A wall is 5 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.A wall is 5 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.From a rectangle 14 cm long and 6 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.The perimeter of a rectangle is 84 cm and its length is 30 cm. What is its width (in cm)?
  34. 34.Each side of a square is 4 cm. What is its perimeter (in cm)?
  35. 35.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
  36. 36.A rectangular field is 70 m long and 30 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.A wall is 11 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  39. 39.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.A wall is 3 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 9
  2. 360
  3. 300
  4. 225
  5. 144
  6. 3520
  7. 33
  8. 132
  9. 42
  10. 6
  11. 160
  12. 5940
  13. 1400
  14. 81
  15. 1020
  16. 1280
  17. 69
  18. 180
  19. 196
  20. 38
  21. 78
  22. 16
  23. 4
  24. 1000
  25. 45
  26. 103
  27. 28
  28. 55
  29. 16
  30. 300
  31. 1250
  32. 78
  33. 12
  34. 16
  35. 64
  36. 3000
  37. 660
  38. 21
  39. 720
  40. 180

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