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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 550 · 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 an equilateral triangle is 2 cm. What is its perimeter (in cm)?
  2. 2.A square has a perimeter of 52 cm. What is its area (in square cm)?
  3. 3.A wall is 6 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.The perimeter of a rectangle is 40 cm and its length is 11 cm. What is its width (in cm)?
  5. 5.From a rectangle 15 cm long and 6 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.A wall is 5 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.A square has a perimeter of 8 cm. What is its area (in square cm)?
  8. 8.From a rectangle 19 cm long and 13 cm wide, a rectangle 3 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  9. 9.Each side of a regular octagon is 10 cm. What is its perimeter (in cm)?
  10. 10.A square has a perimeter of 68 cm. What is its area (in square cm)?
  11. 11.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
  12. 12.From a rectangle 12 cm long and 7 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  13. 13.From a rectangle 15 cm long and 11 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.Each side of a regular pentagon is 17 cm. What is its perimeter (in cm)?
  15. 15.A rectangular field is 95 m long and 35 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.The perimeter of a rectangle is 36 cm and its length is 14 cm. What is its width (in cm)?
  17. 17.From a rectangle 12 cm long and 11 cm wide, a rectangle 3 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.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 ₹)?
  19. 19.A rectangular field is 45 m long and 20 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.Each side of a square is 10 cm. What is its perimeter (in cm)?
  21. 21.From a rectangle 9 cm long and 12 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)?
  22. 22.A square has a perimeter of 56 cm. What is its area (in square cm)?
  23. 23.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
  24. 24.From a rectangle 16 cm long and 7 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)?
  25. 25.A wall is 8 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.From a rectangle 9 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)?
  27. 27.The perimeter of a rectangle is 44 cm and its length is 20 cm. What is its width (in cm)?
  28. 28.A rectangular field is 75 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.From a rectangle 16 cm long and 8 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.A square has a perimeter of 32 cm. What is its area (in square cm)?
  31. 31.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
  32. 32.A square has a perimeter of 36 cm. What is its area (in square cm)?
  33. 33.A square has a perimeter of 20 cm. What is its area (in square cm)?
  34. 34.From a rectangle 6 cm long and 10 cm wide, a rectangle 4 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.A rectangular field is 85 m long and 30 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.Each side of a square is 18 cm. What is its perimeter (in cm)?
  37. 37.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
  38. 38.A rectangular field is 90 m long and 85 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.The perimeter of a rectangle is 100 cm and its length is 28 cm. What is its width (in cm)?
  40. 40.A wall is 6 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 6
  2. 169
  3. 540
  4. 9
  5. 78
  6. 100
  7. 4
  8. 223
  9. 80
  10. 289
  11. 160
  12. 72
  13. 160
  14. 85
  15. 1300
  16. 4
  17. 105
  18. 375
  19. 2600
  20. 40
  21. 90
  22. 196
  23. 48
  24. 104
  25. 800
  26. 46
  27. 2
  28. 4560
  29. 116
  30. 64
  31. 27
  32. 81
  33. 25
  34. 40
  35. 5290
  36. 72
  37. 72
  38. 8400
  39. 22
  40. 480

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