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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 441 · 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 8 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.Each side of a square is 16 cm. What is its perimeter (in cm)?
  3. 3.A rectangular field is 70 m long and 35 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
  5. 5.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
  7. 7.A square has a perimeter of 80 cm. What is its area (in square cm)?
  8. 8.From a rectangle 6 cm long and 7 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)?
  9. 9.A wall is 4 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.The perimeter of a rectangle is 76 cm and its length is 28 cm. What is its width (in cm)?
  11. 11.From a rectangle 18 cm long and 5 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)?
  12. 12.A square has a perimeter of 12 cm. What is its area (in square cm)?
  13. 13.From a rectangle 18 cm long and 11 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.A wall is 5 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
  16. 16.A rectangular field is 75 m long and 25 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.Each side of a square is 7 cm. What is its perimeter (in cm)?
  18. 18.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
  19. 19.From a rectangle 9 cm long and 11 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.From a rectangle 9 cm long and 10 cm wide, a rectangle 1 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.The perimeter of a rectangle is 30 cm and its length is 13 cm. What is its width (in cm)?
  22. 22.The perimeter of a rectangle is 42 cm and its length is 13 cm. What is its width (in cm)?
  23. 23.From a rectangle 19 cm long and 5 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.A wall is 5 m long and 6 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.A wall is 5 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.From a rectangle 14 cm long and 5 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.From a rectangle 11 cm long and 11 cm wide, a rectangle 5 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.Each side of a square is 10 cm. What is its perimeter (in cm)?
  30. 30.Each side of a square is 21 cm. What is its perimeter (in cm)?
  31. 31.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
  33. 33.From a rectangle 8 cm long and 14 cm wide, a rectangle 6 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.A square has a perimeter of 72 cm. What is its area (in square cm)?
  35. 35.A square has a perimeter of 8 cm. What is its area (in square cm)?
  36. 36.The perimeter of a rectangle is 26 cm and its length is 10 cm. What is its width (in cm)?
  37. 37.A square has a perimeter of 48 cm. What is its area (in square cm)?
  38. 38.A wall is 3 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
  40. 40.A rectangular field is 50 m long and 30 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 960
  2. 64
  3. 1890
  4. 5
  5. 2100
  6. 33
  7. 400
  8. 38
  9. 480
  10. 10
  11. 89
  12. 9
  13. 189
  14. 450
  15. 48
  16. 2600
  17. 28
  18. 63
  19. 96
  20. 84
  21. 2
  22. 8
  23. 87
  24. 1200
  25. 45
  26. 875
  27. 63
  28. 76
  29. 40
  30. 84
  31. 980
  32. 48
  33. 40
  34. 324
  35. 4
  36. 3
  37. 144
  38. 180
  39. 152
  40. 2400

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