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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 19 · 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.The perimeter of a rectangle is 58 cm and its length is 15 cm. What is its width (in cm)?
  2. 2.A rectangular field is 80 m long and 15 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.A wall is 10 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.From a rectangle 18 cm long and 6 cm wide, a rectangle 10 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  5. 5.A rectangular field is 55 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.From a rectangle 10 cm long and 10 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.A square has a perimeter of 40 cm. What is its area (in square cm)?
  8. 8.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
  9. 9.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
  10. 10.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
  11. 11.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
  14. 14.From a rectangle 17 cm long and 8 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)?
  15. 15.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
  16. 16.From a rectangle 10 cm long and 13 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)?
  17. 17.The perimeter of a rectangle is 68 cm and its length is 28 cm. What is its width (in cm)?
  18. 18.Each side of an equilateral triangle is 10 cm. What is its perimeter (in cm)?
  19. 19.From a rectangle 8 cm long and 8 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.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 ₹)?
  21. 21.A square has a perimeter of 48 cm. What is its area (in square cm)?
  22. 22.The perimeter of a rectangle is 36 cm and its length is 10 cm. What is its width (in cm)?
  23. 23.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A square has a perimeter of 60 cm. What is its area (in square cm)?
  25. 25.A wall is 12 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.A wall is 3 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.The perimeter of a rectangle is 102 cm and its length is 30 cm. What is its width (in cm)?
  28. 28.From a rectangle 6 cm long and 14 cm wide, a rectangle 2 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.From a rectangle 15 cm long and 15 cm wide, a rectangle 8 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.A square has a perimeter of 56 cm. What is its area (in square cm)?
  31. 31.A wall is 3 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.A square has a perimeter of 64 cm. What is its area (in square cm)?
  33. 33.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.From a rectangle 14 cm long and 12 cm wide, a rectangle 12 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.From a rectangle 19 cm long and 10 cm wide, a rectangle 9 cm by 2 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 52 cm. What is its area (in square cm)?
  38. 38.The perimeter of a rectangle is 42 cm and its length is 14 cm. What is its width (in cm)?
  39. 39.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?

Answer key

  1. 14
  2. 4750
  3. 1500
  4. 98
  5. 980
  6. 84
  7. 100
  8. 3
  9. 27
  10. 42
  11. 910
  12. 1360
  13. 48
  14. 124
  15. 176
  16. 127
  17. 6
  18. 30
  19. 58
  20. 960
  21. 144
  22. 8
  23. 1200
  24. 225
  25. 1680
  26. 180
  27. 21
  28. 72
  29. 217
  30. 196
  31. 240
  32. 256
  33. 1120
  34. 132
  35. 3500
  36. 172
  37. 169
  38. 7
  39. 960
  40. 72

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