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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 252 · 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 square has a perimeter of 28 cm. What is its area (in square cm)?
  2. 2.From a rectangle 14 cm long and 15 cm wide, a rectangle 10 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  3. 3.A square has a perimeter of 44 cm. What is its area (in square cm)?
  4. 4.The perimeter of a rectangle is 94 cm and its length is 25 cm. What is its width (in cm)?
  5. 5.The perimeter of a rectangle is 70 cm and its length is 22 cm. What is its width (in cm)?
  6. 6.A wall is 5 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.A rectangular field is 55 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.From a rectangle 6 cm long and 15 cm wide, a rectangle 2 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  9. 9.The perimeter of a rectangle is 70 cm and its length is 18 cm. What is its width (in cm)?
  10. 10.A wall is 10 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.A square has a perimeter of 24 cm. What is its area (in square cm)?
  12. 12.From a rectangle 8 cm long and 5 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)?
  13. 13.A rectangular field is 80 m long and 55 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A square has a perimeter of 60 cm. What is its area (in square cm)?
  15. 15.A rectangular field is 85 m long and 60 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A wall is 11 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  18. 18.From a rectangle 15 cm long and 8 cm wide, a rectangle 7 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
  20. 20.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 ₹)?
  21. 21.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.A square has a perimeter of 56 cm. What is its area (in square cm)?
  23. 23.The perimeter of a rectangle is 66 cm and its length is 17 cm. What is its width (in cm)?
  24. 24.The perimeter of a rectangle is 80 cm and its length is 23 cm. What is its width (in cm)?
  25. 25.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
  26. 26.From a rectangle 19 cm long and 10 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.A square has a perimeter of 68 cm. What is its area (in square cm)?
  28. 28.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
  29. 29.A square has a perimeter of 8 cm. What is its area (in square cm)?
  30. 30.A wall is 5 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.Each side of a square is 16 cm. What is its perimeter (in cm)?
  33. 33.From a rectangle 6 cm long and 10 cm wide, a rectangle 2 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.From a rectangle 17 cm long and 9 cm wide, a rectangle 11 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.Each side of a square is 22 cm. What is its perimeter (in cm)?
  36. 36.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
  37. 37.From a rectangle 13 cm long and 5 cm wide, a rectangle 11 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.A wall is 7 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.A wall is 7 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.A wall is 11 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 49
  2. 130
  3. 121
  4. 22
  5. 13
  6. 150
  7. 1260
  8. 72
  9. 17
  10. 400
  11. 36
  12. 36
  13. 6480
  14. 225
  15. 3770
  16. 880
  17. 36
  18. 78
  19. 65
  20. 1575
  21. 600
  22. 196
  23. 16
  24. 17
  25. 48
  26. 175
  27. 289
  28. 15
  29. 4
  30. 375
  31. 4000
  32. 64
  33. 46
  34. 131
  35. 88
  36. 10
  37. 43
  38. 630
  39. 210
  40. 990

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