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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 1 · 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 10 cm long and 15 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
  3. 3.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
  5. 5.A wall is 3 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
  7. 7.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
  8. 8.The perimeter of a rectangle is 36 cm and its length is 16 cm. What is its width (in cm)?
  9. 9.From a rectangle 20 cm long and 10 cm wide, a rectangle 13 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
  11. 11.The perimeter of a rectangle is 38 cm and its length is 16 cm. What is its width (in cm)?
  12. 12.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
  13. 13.From a rectangle 9 cm long and 9 cm wide, a rectangle 6 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.The perimeter of a rectangle is 26 cm and its length is 10 cm. What is its width (in cm)?
  15. 15.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
  16. 16.The perimeter of a rectangle is 82 cm and its length is 26 cm. What is its width (in cm)?
  17. 17.A square has a perimeter of 44 cm. What is its area (in square cm)?
  18. 18.The perimeter of a rectangle is 36 cm and its length is 15 cm. What is its width (in cm)?
  19. 19.A wall is 5 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.From a rectangle 10 cm long and 13 cm wide, a rectangle 5 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.The perimeter of a rectangle is 54 cm and its length is 16 cm. What is its width (in cm)?
  23. 23.A rectangular field is 70 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A wall is 7 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.From a rectangle 17 cm long and 11 cm wide, a rectangle 6 cm by 9 cm is cut out of one corner. What is the area of the shape left (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 95 m long and 80 m wide. Fencing costs ₹8 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 ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A square has a perimeter of 36 cm. What is its area (in square cm)?
  30. 30.A square has a perimeter of 16 cm. What is its area (in square cm)?
  31. 31.A square has a perimeter of 68 cm. What is its area (in square cm)?
  32. 32.The perimeter of a rectangle is 54 cm and its length is 17 cm. What is its width (in cm)?
  33. 33.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
  34. 34.The perimeter of a rectangle is 44 cm and its length is 13 cm. What is its width (in cm)?
  35. 35.From a rectangle 14 cm long and 8 cm wide, a rectangle 9 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.From a rectangle 17 cm long and 12 cm wide, a rectangle 8 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  38. 38.A square has a perimeter of 24 cm. What is its area (in square cm)?
  39. 39.The perimeter of a rectangle is 52 cm and its length is 15 cm. What is its width (in cm)?
  40. 40.From a rectangle 14 cm long and 14 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)?

Answer key

  1. 134
  2. 51
  3. 770
  4. 10
  5. 180
  6. 115
  7. 78
  8. 2
  9. 174
  10. 48
  11. 3
  12. 42
  13. 45
  14. 3
  15. 56
  16. 15
  17. 121
  18. 3
  19. 500
  20. 720
  21. 85
  22. 11
  23. 3060
  24. 1575
  25. 133
  26. 6
  27. 2800
  28. 1300
  29. 81
  30. 16
  31. 289
  32. 10
  33. 66
  34. 9
  35. 85
  36. 164
  37. 21
  38. 36
  39. 11
  40. 168

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