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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 356 · 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 60 cm. What is its area (in square cm)?
  2. 2.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
  3. 3.A square has a perimeter of 28 cm. What is its area (in square cm)?
  4. 4.A wall is 5 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.A square has a perimeter of 48 cm. What is its area (in square cm)?
  6. 6.The perimeter of a rectangle is 70 cm and its length is 27 cm. What is its width (in cm)?
  7. 7.The perimeter of a rectangle is 30 cm and its length is 8 cm. What is its width (in cm)?
  8. 8.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.The perimeter of a rectangle is 58 cm and its length is 22 cm. What is its width (in cm)?
  10. 10.Each side of a regular octagon is 10 cm. What is its perimeter (in cm)?
  11. 11.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?
  12. 12.A wall is 3 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.From a rectangle 17 cm long and 8 cm wide, a rectangle 1 cm by 3 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.The perimeter of a rectangle is 48 cm and its length is 21 cm. What is its width (in cm)?
  16. 16.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 ₹)?
  17. 17.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
  19. 19.From a rectangle 16 cm long and 10 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.A square has a perimeter of 56 cm. What is its area (in square cm)?
  21. 21.From a rectangle 17 cm long and 11 cm wide, a rectangle 14 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.Each side of a square is 25 cm. What is its perimeter (in cm)?
  23. 23.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A rectangular field is 100 m long and 20 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
  26. 26.From a rectangle 19 cm long and 12 cm wide, a rectangle 2 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.From a rectangle 8 cm long and 13 cm wide, a rectangle 6 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
  29. 29.A wall is 3 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.A rectangular field is 70 m long and 20 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.From a rectangle 7 cm long and 7 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.A wall is 4 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.From a rectangle 10 cm long and 11 cm wide, a rectangle 3 cm by 2 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 16 cm and its length is 5 cm. What is its width (in cm)?
  35. 35.A square has a perimeter of 40 cm. What is its area (in square cm)?
  36. 36.From a rectangle 14 cm long and 14 cm wide, a rectangle 7 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.Each side of a square is 20 cm. What is its perimeter (in cm)?
  38. 38.The perimeter of a rectangle is 28 cm and its length is 9 cm. What is its width (in cm)?
  39. 39.From a rectangle 10 cm long and 7 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?

Answer key

  1. 225
  2. 75
  3. 49
  4. 350
  5. 144
  6. 8
  7. 7
  8. 910
  9. 7
  10. 80
  11. 90
  12. 300
  13. 133
  14. 81
  15. 3
  16. 550
  17. 1540
  18. 64
  19. 152
  20. 196
  21. 159
  22. 100
  23. 2240
  24. 3120
  25. 56
  26. 208
  27. 56
  28. 70
  29. 90
  30. 2340
  31. 45
  32. 560
  33. 104
  34. 3
  35. 100
  36. 133
  37. 80
  38. 5
  39. 67
  40. 4

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