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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 389 · 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 square has a perimeter of 68 cm. What is its area (in square cm)?
  2. 2.A square has a perimeter of 16 cm. What is its area (in square cm)?
  3. 3.A square has a perimeter of 44 cm. What is its area (in square cm)?
  4. 4.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
  5. 5.The perimeter of a rectangle is 22 cm and its length is 6 cm. What is its width (in cm)?
  6. 6.A rectangular field is 100 m long and 25 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.A wall is 5 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
  9. 9.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
  10. 10.From a rectangle 9 cm long and 15 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  11. 11.The perimeter of a rectangle is 48 cm and its length is 22 cm. What is its width (in cm)?
  12. 12.From a rectangle 8 cm long and 6 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 20 cm long and 6 cm wide, a rectangle 11 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.From a rectangle 19 cm long and 5 cm wide, a rectangle 17 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  15. 15.The perimeter of a rectangle is 58 cm and its length is 19 cm. What is its width (in cm)?
  16. 16.The perimeter of a rectangle is 46 cm and its length is 18 cm. What is its width (in cm)?
  17. 17.A square has a perimeter of 48 cm. What is its area (in square cm)?
  18. 18.The perimeter of a rectangle is 68 cm and its length is 24 cm. What is its width (in cm)?
  19. 19.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A square has a perimeter of 12 cm. What is its area (in square cm)?
  21. 21.Each side of a regular pentagon is 18 cm. What is its perimeter (in cm)?
  22. 22.A square has a perimeter of 8 cm. What is its area (in square cm)?
  23. 23.A rectangular field is 45 m long and 20 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.The perimeter of a rectangle is 114 cm and its length is 30 cm. What is its width (in cm)?
  25. 25.From a rectangle 10 cm long and 5 cm wide, a rectangle 6 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.The perimeter of a rectangle is 48 cm and its length is 20 cm. What is its width (in cm)?
  27. 27.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
  28. 28.The perimeter of a rectangle is 72 cm and its length is 30 cm. What is its width (in cm)?
  29. 29.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  30. 30.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
  31. 31.The perimeter of a rectangle is 80 cm and its length is 26 cm. What is its width (in cm)?
  32. 32.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A wall is 12 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.The perimeter of a rectangle is 22 cm and its length is 8 cm. What is its width (in cm)?
  35. 35.From a rectangle 6 cm long and 7 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.A rectangular field is 95 m long and 45 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.A square has a perimeter of 32 cm. What is its area (in square cm)?
  38. 38.From a rectangle 17 cm long and 15 cm wide, a rectangle 10 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.A wall is 7 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 289
  2. 16
  3. 121
  4. 2
  5. 5
  6. 6000
  7. 500
  8. 160
  9. 39
  10. 110
  11. 2
  12. 36
  13. 76
  14. 44
  15. 10
  16. 5
  17. 144
  18. 10
  19. 400
  20. 9
  21. 90
  22. 4
  23. 1430
  24. 27
  25. 32
  26. 4
  27. 48
  28. 6
  29. 12
  30. 75
  31. 14
  32. 480
  33. 3000
  34. 3
  35. 27
  36. 4760
  37. 64
  38. 175
  39. 1700
  40. 630

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