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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 504 · 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 9 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.From a rectangle 14 cm long and 11 cm wide, a rectangle 3 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  3. 3.A rectangular field is 80 m long and 30 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
  5. 5.A square has a perimeter of 80 cm. What is its area (in square cm)?
  6. 6.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
  7. 7.A square has a perimeter of 44 cm. What is its area (in square cm)?
  8. 8.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.From a rectangle 10 cm long and 13 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.A square has a perimeter of 12 cm. What is its area (in square cm)?
  11. 11.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
  12. 12.Each side of a regular pentagon is 22 cm. What is its perimeter (in cm)?
  13. 13.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 ₹)?
  14. 14.A rectangular field is 100 m long and 55 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.The perimeter of a rectangle is 76 cm and its length is 21 cm. What is its width (in cm)?
  16. 16.A wall is 11 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A rectangular field is 60 m long and 40 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.A wall is 8 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.A rectangular field is 80 m long and 30 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A square has a perimeter of 56 cm. What is its area (in square cm)?
  21. 21.A wall is 4 m long and 4 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 17 cm. What is its perimeter (in cm)?
  23. 23.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
  24. 24.The perimeter of a rectangle is 50 cm and its length is 14 cm. What is its width (in cm)?
  25. 25.The perimeter of a rectangle is 104 cm and its length is 27 cm. What is its width (in cm)?
  26. 26.The perimeter of a rectangle is 100 cm and its length is 27 cm. What is its width (in cm)?
  27. 27.A wall is 12 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.From a rectangle 18 cm long and 10 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  30. 30.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 ₹)?
  31. 31.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
  32. 32.The perimeter of a rectangle is 56 cm and its length is 16 cm. What is its width (in cm)?
  33. 33.The perimeter of a rectangle is 30 cm and its length is 8 cm. What is its width (in cm)?
  34. 34.A wall is 4 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.A wall is 4 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
  37. 37.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.From a rectangle 9 cm long and 9 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)?
  39. 39.From a rectangle 6 cm long and 8 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)?
  40. 40.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?

Answer key

  1. 450
  2. 136
  3. 2200
  4. 12
  5. 400
  6. 144
  7. 121
  8. 2640
  9. 128
  10. 9
  11. 72
  12. 110
  13. 875
  14. 1550
  15. 17
  16. 495
  17. 3000
  18. 480
  19. 4400
  20. 196
  21. 720
  22. 68
  23. 60
  24. 11
  25. 25
  26. 23
  27. 1200
  28. 168
  29. 25
  30. 200
  31. 75
  32. 12
  33. 7
  34. 200
  35. 400
  36. 32
  37. 500
  38. 72
  39. 39
  40. 3

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