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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 501 · 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 20 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.From a rectangle 14 cm long and 12 cm wide, a rectangle 10 cm by 10 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 24 cm. What is its area (in square cm)?
  4. 4.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.A wall is 8 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.From a rectangle 6 cm long and 6 cm wide, a rectangle 1 cm by 1 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 12 cm. What is its perimeter (in cm)?
  8. 8.A square has a perimeter of 8 cm. What is its area (in square cm)?
  9. 9.A wall is 11 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.The perimeter of a rectangle is 52 cm and its length is 24 cm. What is its width (in cm)?
  11. 11.A wall is 4 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A wall is 5 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A rectangular field is 100 m long and 35 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.A square has a perimeter of 16 cm. What is its area (in square cm)?
  16. 16.A rectangular field is 100 m long and 60 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.From a rectangle 15 cm long and 5 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)?
  18. 18.Each side of a regular pentagon is 21 cm. What is its perimeter (in cm)?
  19. 19.The perimeter of a rectangle is 66 cm and its length is 29 cm. What is its width (in cm)?
  20. 20.The perimeter of a rectangle is 68 cm and its length is 29 cm. What is its width (in cm)?
  21. 21.The perimeter of a rectangle is 88 cm and its length is 23 cm. What is its width (in cm)?
  22. 22.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.A square has a perimeter of 80 cm. What is its area (in square cm)?
  24. 24.From a rectangle 14 cm long and 7 cm wide, a rectangle 9 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
  27. 27.A rectangular field is 80 m long and 65 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A rectangular field is 95 m long and 75 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A wall is 5 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.A wall is 6 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.From a rectangle 17 cm long and 14 cm wide, a rectangle 5 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.A square has a perimeter of 20 cm. What is its area (in square cm)?
  33. 33.From a rectangle 15 cm long and 11 cm wide, a rectangle 11 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.The perimeter of a rectangle is 66 cm and its length is 18 cm. What is its width (in cm)?
  35. 35.A wall is 4 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.A square has a perimeter of 64 cm. What is its area (in square cm)?
  37. 37.The perimeter of a rectangle is 94 cm and its length is 29 cm. What is its width (in cm)?
  38. 38.A square has a perimeter of 48 cm. What is its area (in square cm)?
  39. 39.Each side of a square is 18 cm. What is its perimeter (in cm)?
  40. 40.The perimeter of a rectangle is 78 cm and its length is 26 cm. What is its width (in cm)?

Answer key

  1. 900
  2. 68
  3. 36
  4. 1760
  5. 160
  6. 35
  7. 36
  8. 4
  9. 550
  10. 2
  11. 200
  12. 875
  13. 780
  14. 5400
  15. 16
  16. 2560
  17. 63
  18. 105
  19. 4
  20. 5
  21. 21
  22. 1620
  23. 400
  24. 53
  25. 560
  26. 66
  27. 1450
  28. 4420
  29. 1000
  30. 900
  31. 198
  32. 25
  33. 154
  34. 15
  35. 960
  36. 256
  37. 18
  38. 144
  39. 72
  40. 13

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