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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 603 · 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 rectangular field is 30 m long and 25 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
  3. 3.From a rectangle 7 cm long and 12 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  5. 5.The perimeter of a rectangle is 68 cm and its length is 28 cm. What is its width (in cm)?
  6. 6.From a rectangle 6 cm long and 12 cm wide, a rectangle 4 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
  8. 8.A square has a perimeter of 12 cm. What is its area (in square cm)?
  9. 9.A square has a perimeter of 44 cm. What is its area (in square cm)?
  10. 10.A square has a perimeter of 32 cm. What is its area (in square cm)?
  11. 11.The perimeter of a rectangle is 56 cm and its length is 18 cm. What is its width (in cm)?
  12. 12.A square has a perimeter of 80 cm. What is its area (in square cm)?
  13. 13.From a rectangle 9 cm long and 5 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)?
  14. 14.A wall is 4 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.A wall is 11 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.The perimeter of a rectangle is 60 cm and its length is 21 cm. What is its width (in cm)?
  17. 17.A rectangular field is 100 m long and 55 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.A rectangular field is 55 m long and 45 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.A square has a perimeter of 64 cm. What is its area (in square cm)?
  20. 20.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
  21. 21.A rectangular field is 65 m long and 55 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.A wall is 5 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.The perimeter of a rectangle is 32 cm and its length is 9 cm. What is its width (in cm)?
  24. 24.A square has a perimeter of 8 cm. What is its area (in square cm)?
  25. 25.A square has a perimeter of 56 cm. What is its area (in square cm)?
  26. 26.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
  27. 27.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A wall is 10 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.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 ₹)?
  31. 31.A wall is 7 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
  33. 33.The perimeter of a rectangle is 30 cm and its length is 13 cm. What is its width (in cm)?
  34. 34.The perimeter of a rectangle is 106 cm and its length is 30 cm. What is its width (in cm)?
  35. 35.A wall is 3 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.A square has a perimeter of 52 cm. What is its area (in square cm)?
  37. 37.A rectangular field is 60 m long and 45 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.A wall is 7 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.A rectangular field is 60 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?

Answer key

  1. 1650
  2. 36
  3. 78
  4. 12
  5. 6
  6. 44
  7. 138
  8. 9
  9. 121
  10. 64
  11. 10
  12. 400
  13. 37
  14. 280
  15. 1925
  16. 9
  17. 1860
  18. 5000
  19. 256
  20. 54
  21. 1920
  22. 1050
  23. 7
  24. 4
  25. 196
  26. 6
  27. 1600
  28. 1000
  29. 1000
  30. 495
  31. 735
  32. 80
  33. 2
  34. 23
  35. 270
  36. 169
  37. 4200
  38. 315
  39. 1200
  40. 75

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