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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 473 · 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.From a rectangle 7 cm long and 5 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)?
  2. 2.A wall is 3 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.A rectangular field is 75 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.A square has a perimeter of 12 cm. What is its area (in square cm)?
  5. 5.The perimeter of a rectangle is 74 cm and its length is 23 cm. What is its width (in cm)?
  6. 6.From a rectangle 8 cm long and 6 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
  8. 8.A wall is 3 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.The perimeter of a rectangle is 32 cm and its length is 10 cm. What is its width (in cm)?
  10. 10.The perimeter of a rectangle is 56 cm and its length is 26 cm. What is its width (in cm)?
  11. 11.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  12. 12.A wall is 3 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.From a rectangle 14 cm long and 8 cm wide, a rectangle 7 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.A square has a perimeter of 36 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.A square has a perimeter of 8 cm. What is its area (in square cm)?
  17. 17.A square has a perimeter of 76 cm. What is its area (in square cm)?
  18. 18.The perimeter of a rectangle is 66 cm and its length is 20 cm. What is its width (in cm)?
  19. 19.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
  20. 20.From a rectangle 8 cm long and 11 cm wide, a rectangle 3 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.A square has a perimeter of 32 cm. What is its area (in square cm)?
  22. 22.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.A square has a perimeter of 56 cm. What is its area (in square cm)?
  24. 24.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 ₹)?
  25. 25.A wall is 6 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.The perimeter of a rectangle is 22 cm and its length is 8 cm. What is its width (in cm)?
  27. 27.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  28. 28.A rectangular field is 60 m long and 50 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A rectangular field is 70 m long and 60 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A rectangular field is 45 m long and 20 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A wall is 6 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
  33. 33.The perimeter of a rectangle is 58 cm and its length is 26 cm. What is its width (in cm)?
  34. 34.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
  35. 35.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
  36. 36.From a rectangle 9 cm long and 5 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)?
  37. 37.A square has a perimeter of 80 cm. What is its area (in square cm)?
  38. 38.Each side of a square is 2 cm. What is its perimeter (in cm)?
  39. 39.A wall is 6 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 23
  2. 135
  3. 2550
  4. 9
  5. 14
  6. 36
  7. 63
  8. 630
  9. 6
  10. 2
  11. 2
  12. 150
  13. 84
  14. 81
  15. 256
  16. 4
  17. 361
  18. 13
  19. 80
  20. 70
  21. 64
  22. 1800
  23. 196
  24. 1000
  25. 270
  26. 3
  27. 21
  28. 1100
  29. 4160
  30. 2080
  31. 1620
  32. 70
  33. 3
  34. 66
  35. 6
  36. 33
  37. 400
  38. 8
  39. 360
  40. 1170

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