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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 188 · 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.Each side of a square is 7 cm. What is its perimeter (in cm)?
  2. 2.From a rectangle 8 cm long and 8 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)?
  3. 3.From a rectangle 19 cm long and 6 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)?
  4. 4.A square has a perimeter of 48 cm. What is its area (in square cm)?
  5. 5.A square has a perimeter of 44 cm. What is its area (in square cm)?
  6. 6.From a rectangle 18 cm long and 6 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)?
  7. 7.The perimeter of a rectangle is 62 cm and its length is 21 cm. What is its width (in cm)?
  8. 8.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
  9. 9.A rectangular field is 80 m long and 40 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.A rectangular field is 85 m long and 65 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.The perimeter of a rectangle is 26 cm and its length is 8 cm. What is its width (in cm)?
  12. 12.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
  13. 13.A rectangular field is 95 m long and 80 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A square has a perimeter of 12 cm. What is its area (in square cm)?
  15. 15.A square has a perimeter of 64 cm. What is its area (in square cm)?
  16. 16.From a rectangle 15 cm long and 14 cm wide, a rectangle 1 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.The perimeter of a rectangle is 20 cm and its length is 8 cm. What is its width (in cm)?
  18. 18.A wall is 9 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
  20. 20.A wall is 8 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.A rectangular field is 55 m long and 35 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.A square has a perimeter of 80 cm. What is its area (in square cm)?
  24. 24.From a rectangle 12 cm long and 9 cm wide, a rectangle 8 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.A wall is 9 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.The perimeter of a rectangle is 70 cm and its length is 18 cm. What is its width (in cm)?
  27. 27.A wall is 8 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.The perimeter of a rectangle is 102 cm and its length is 30 cm. What is its width (in cm)?
  29. 29.A square has a perimeter of 8 cm. What is its area (in square cm)?
  30. 30.A square has a perimeter of 32 cm. What is its area (in square cm)?
  31. 31.From a rectangle 6 cm long and 11 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.A square has a perimeter of 16 cm. What is its area (in square cm)?
  33. 33.Each side of a square is 10 cm. What is its perimeter (in cm)?
  34. 34.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 ₹)?
  35. 35.From a rectangle 18 cm long and 12 cm wide, a rectangle 5 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.A rectangular field is 95 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  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 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
  40. 40.A wall is 4 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 28
  2. 34
  3. 105
  4. 144
  5. 121
  6. 100
  7. 10
  8. 80
  9. 4320
  10. 2100
  11. 5
  12. 40
  13. 5250
  14. 9
  15. 256
  16. 199
  17. 2
  18. 405
  19. 64
  20. 640
  21. 1540
  22. 1620
  23. 400
  24. 84
  25. 1575
  26. 17
  27. 360
  28. 21
  29. 4
  30. 64
  31. 63
  32. 16
  33. 40
  34. 180
  35. 166
  36. 1260
  37. 49
  38. 2700
  39. 112
  40. 800

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