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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 557 · 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 19 cm. What is its perimeter (in cm)?
  2. 2.The perimeter of a rectangle is 84 cm and its length is 25 cm. What is its width (in cm)?
  3. 3.A wall is 7 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
  5. 5.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
  6. 6.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
  7. 7.From a rectangle 7 cm long and 10 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.A square has a perimeter of 8 cm. What is its area (in square cm)?
  9. 9.A wall is 9 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.The perimeter of a rectangle is 40 cm and its length is 18 cm. What is its width (in cm)?
  11. 11.The perimeter of a rectangle is 92 cm and its length is 26 cm. What is its width (in cm)?
  12. 12.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
  13. 13.From a rectangle 10 cm long and 7 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)?
  14. 14.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
  15. 15.From a rectangle 16 cm long and 12 cm wide, a rectangle 1 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.The perimeter of a rectangle is 42 cm and its length is 15 cm. What is its width (in cm)?
  17. 17.A wall is 8 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.From a rectangle 7 cm long and 7 cm wide, a rectangle 3 cm by 2 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 16 cm. What is its perimeter (in cm)?
  20. 20.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
  21. 21.The perimeter of a rectangle is 34 cm and its length is 13 cm. What is its width (in cm)?
  22. 22.A wall is 8 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A wall is 9 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.From a rectangle 13 cm long and 8 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
  27. 27.A rectangular field is 65 m long and 60 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A rectangular field is 100 m long and 60 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.Each side of a square is 15 cm. What is its perimeter (in cm)?
  30. 30.A rectangular field is 65 m long and 40 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.A square has a perimeter of 76 cm. What is its area (in square cm)?
  33. 33.From a rectangle 19 cm long and 7 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.A wall is 9 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.The perimeter of a rectangle is 68 cm and its length is 24 cm. What is its width (in cm)?
  36. 36.A wall is 4 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.A wall is 7 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.A wall is 6 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.A square has a perimeter of 12 cm. What is its area (in square cm)?
  40. 40.Each side of a regular pentagon is 19 cm. What is its perimeter (in cm)?

Answer key

  1. 57
  2. 17
  3. 2100
  4. 18
  5. 72
  6. 10
  7. 68
  8. 4
  9. 2430
  10. 2
  11. 20
  12. 128
  13. 67
  14. 72
  15. 182
  16. 6
  17. 1920
  18. 43
  19. 80
  20. 15
  21. 4
  22. 400
  23. 2530
  24. 900
  25. 98
  26. 18
  27. 4000
  28. 8000
  29. 60
  30. 3570
  31. 780
  32. 361
  33. 123
  34. 540
  35. 10
  36. 500
  37. 1470
  38. 180
  39. 9
  40. 95

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